0.11/0.13 % Problem : Vampire---4.8_5530 : TPTP v0.0.0. Released v0.0.0. 0.11/0.14 % Command : do_cvc5 %s %d 0.15/0.35 % Computer : n022.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1440 0.15/0.35 % WCLimit : 180 0.15/0.35 % DateTime : Mon Jul 3 13:07:44 EDT 2023 0.15/0.35 % CPUTime : 0.21/0.52 %----Proving TH0 0.21/0.52 thf(mworld,type, 0.21/0.52 mworld: $tType ). 0.21/0.52 0.21/0.52 thf(mrel_type,type, 0.21/0.52 mrel: mworld > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mactual_type,type, 0.21/0.52 mactual: mworld ). 0.21/0.52 0.21/0.52 thf(mlocal_type,type, 0.21/0.52 mlocal: ( mworld > $o ) > $o ). 0.21/0.52 0.21/0.52 thf(mlocal_def,definition, 0.21/0.52 ( mlocal 0.21/0.52 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ). 0.21/0.52 0.21/0.52 thf(mnot_type,type, 0.21/0.52 mnot: ( mworld > $o ) > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mand_type,type, 0.21/0.52 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mor_type,type, 0.21/0.52 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mimplies_type,type, 0.21/0.52 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mequiv_type,type, 0.21/0.52 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mnot_def,definition, 0.21/0.52 ( mnot 0.21/0.52 = ( ^ [A: mworld > $o,W: mworld] : 0.21/0.52 ~ ( A @ W ) ) ) ). 0.21/0.52 0.21/0.52 thf(mand_def,definition, 0.21/0.52 ( mand 0.21/0.52 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : 0.21/0.52 ( ( A @ W ) 0.21/0.52 & ( B @ W ) ) ) ) ). 0.21/0.52 0.21/0.52 thf(mor_def,definition, 0.21/0.52 ( mor 0.21/0.52 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : 0.21/0.52 ( ( A @ W ) 0.21/0.52 | ( B @ W ) ) ) ) ). 0.21/0.52 0.21/0.52 thf(mimplies_def,definition, 0.21/0.52 ( mimplies 0.21/0.52 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : 0.21/0.52 ( ( A @ W ) 0.21/0.52 => ( B @ W ) ) ) ) ). 0.21/0.52 0.21/0.52 thf(mequiv_def,definition, 0.21/0.52 ( mequiv 0.21/0.52 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] : 0.21/0.52 ( ( A @ W ) 0.21/0.52 <=> ( B @ W ) ) ) ) ). 0.21/0.52 0.21/0.52 thf(mbox_type,type, 0.21/0.52 mbox: ( mworld > $o ) > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mbox_def,definition, 0.21/0.52 ( mbox 0.21/0.52 = ( ^ [Phi: mworld > $o,W: mworld] : 0.21/0.52 ! [V: mworld] : 0.21/0.52 ( ( mrel @ W @ V ) 0.21/0.52 => ( Phi @ V ) ) ) ) ). 0.21/0.52 0.21/0.52 thf(mdia_type,type, 0.21/0.52 mdia: ( mworld > $o ) > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mdia_def,definition, 0.21/0.52 ( mdia 0.21/0.52 = ( ^ [Phi: mworld > $o,W: mworld] : 0.21/0.52 ? [V: mworld] : 0.21/0.52 ( ( mrel @ W @ V ) 0.21/0.52 & ( Phi @ V ) ) ) ) ). 0.21/0.52 0.21/0.52 thf(eiw_di_type,type, 0.21/0.52 eiw_di: $i > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mforall_di_type,type, 0.21/0.52 mforall_di: ( $i > mworld > $o ) > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mforall_di_def,definition, 0.21/0.52 ( mforall_di 0.21/0.52 = ( ^ [A: $i > mworld > $o,W: mworld] : 0.21/0.52 ! [X: $i] : 0.21/0.52 ( ( eiw_di @ X @ W ) 0.21/0.52 => ( A @ X @ W ) ) ) ) ). 0.21/0.52 0.21/0.52 thf(mexists_di_type,type, 0.21/0.52 mexists_di: ( $i > mworld > $o ) > mworld > $o ). 0.21/0.52 0.21/0.52 thf(mexists_di_def,definition, 0.21/0.52 ( mexists_di 0.21/0.52 = ( ^ [A: $i > mworld > $o,W: mworld] : 0.21/0.52 ? [X: $i] : 0.21/0.52 ( ( eiw_di @ X @ W ) 0.21/0.52 & ( A @ X @ W ) ) ) ) ). 0.21/0.52 0.21/0.52 thf(r2_decl,type, 0.21/0.52 r2: mworld > $o ). 0.21/0.52 0.21/0.52 thf(r3_decl,type, 0.21/0.52 r3: mworld > $o ). 0.21/0.52 0.21/0.52 thf(r4_decl,type, 0.21/0.52 r4: mworld > $o ). 0.21/0.52 0.21/0.52 thf(r5_decl,type, 0.21/0.52 r5: mworld > $o ). 0.21/0.52 0.21/0.52 thf(equivalence_1_decl,type, 0.21/0.52 equivalence_1: mworld > $o ). 0.21/0.52 0.21/0.52 thf(equivalence_2_decl,type, 0.21/0.52 equivalence_2: mworld > $o ). 0.21/0.52 0.21/0.52 thf(cn2_decl,type, 0.21/0.52 cn2: mworld > $o ). 0.21/0.52 0.21/0.52 thf(cn1_decl,type, 0.21/0.52 cn1: mworld > $o ). 0.21/0.52 0.21/0.52 thf(cn3_decl,type, 0.21/0.52 cn3: mworld > $o ). 0.21/0.52 0.21/0.52 thf(kn2_decl,type, 0.21/0.52 kn2: mworld > $o ). 0.21/0.52 0.21/0.52 thf(kn1_decl,type, 0.21/0.52 kn1: mworld > $o ). 0.21/0.52 0.21/0.52 thf(kn3_decl,type, 0.21/0.52 kn3: mworld > $o ). 0.21/0.52 0.21/0.52 thf(equivalence_3_decl,type, 0.21/0.52 equivalence_3: mworld > $o ). 0.21/0.52 0.21/0.52 thf(op_implies_or_decl,type, 0.21/0.53 op_implies_or: mworld > $o ). 0.21/0.53 0.21/0.53 thf(op_and_decl,type, 0.21/0.53 op_and: mworld > $o ). 0.21/0.53 0.21/0.53 thf(and_2_decl,type, 0.21/0.53 and_2: mworld > $o ). 0.21/0.53 0.21/0.53 thf(and_3_decl,type, 0.21/0.53 and_3: mworld > $o ). 0.21/0.53 0.21/0.53 thf(and_1_decl,type, 0.21/0.53 and_1: mworld > $o ). 0.21/0.53 0.21/0.53 thf(implies_2_decl,type, 0.21/0.53 implies_2: mworld > $o ). 0.21/0.53 0.21/0.53 thf(implies_3_decl,type, 0.21/0.53 implies_3: mworld > $o ). 0.21/0.53 0.21/0.53 thf(op_implies_and_decl,type, 0.21/0.53 op_implies_and: mworld > $o ). 0.21/0.53 0.21/0.53 thf(implies_1_decl,type, 0.21/0.53 implies_1: mworld > $o ). 0.21/0.53 0.21/0.53 thf(substitution_of_equivalents_decl,type, 0.21/0.53 substitution_of_equivalents: mworld > $o ). 0.21/0.53 0.21/0.53 thf(op_or_decl,type, 0.21/0.53 op_or: mworld > $o ). 0.21/0.53 0.21/0.53 thf(modus_tollens_decl,type, 0.21/0.53 modus_tollens: mworld > $o ). 0.21/0.53 0.21/0.53 thf(or_1_decl,type, 0.21/0.53 or_1: mworld > $o ). 0.21/0.53 0.21/0.53 thf(or_2_decl,type, 0.21/0.53 or_2: mworld > $o ). 0.21/0.53 0.21/0.53 thf(or_3_decl,type, 0.21/0.53 or_3: mworld > $o ). 0.21/0.53 0.21/0.53 thf(op_equiv_decl,type, 0.21/0.53 op_equiv: mworld > $o ). 0.21/0.53 0.21/0.53 thf(modus_ponens_decl,type, 0.21/0.53 modus_ponens: mworld > $o ). 0.21/0.53 0.21/0.53 thf(r1_decl,type, 0.21/0.53 r1: mworld > $o ). 0.21/0.53 0.21/0.53 thf(qmltpeq_decl,type, 0.21/0.53 qmltpeq: $i > $i > mworld > $o ). 0.21/0.53 0.21/0.53 thf(is_a_theorem_decl,type, 0.21/0.53 is_a_theorem: $i > mworld > $o ). 0.21/0.53 0.21/0.53 thf(equiv_decl,type, 0.21/0.53 equiv: $i > $i > $i ). 0.21/0.53 0.21/0.53 thf(not_decl,type, 0.21/0.53 not: $i > $i ). 0.21/0.53 0.21/0.53 thf(or_decl,type, 0.21/0.53 or: $i > $i > $i ). 0.21/0.53 0.21/0.53 thf(and_decl,type, 0.21/0.53 and: $i > $i > $i ). 0.21/0.53 0.21/0.53 thf(implies_decl,type, 0.21/0.53 implies: $i > $i > $i ). 0.21/0.53 0.21/0.53 thf(r5_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ r5 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [R: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ Q @ R ) @ ( implies @ ( or @ P @ Q ) @ ( or @ P @ R ) ) ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [R: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ Q @ R ) @ ( implies @ ( or @ P @ Q ) @ ( or @ P @ R ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ r5 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(hilbert_or_1,axiom, 0.21/0.53 mlocal @ ( mbox @ or_1 ) ). 0.21/0.53 0.21/0.53 thf(cn1_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ cn1 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [R: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ P @ Q ) @ ( implies @ ( implies @ Q @ R ) @ ( implies @ P @ R ) ) ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [R: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ P @ Q ) @ ( implies @ ( implies @ Q @ R ) @ ( implies @ P @ R ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ cn1 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(hilbert_op_equiv,axiom, 0.21/0.53 mlocal @ ( mbox @ op_equiv ) ). 0.21/0.53 0.21/0.53 thf(principia_op_equiv,axiom, 0.21/0.53 mlocal @ ( mbox @ op_equiv ) ). 0.21/0.53 0.21/0.53 thf(or_substitution_2,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [A: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [B: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( or @ C @ A ) @ ( or @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(implies_substitution_2,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [A: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [B: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( implies @ C @ A ) @ ( implies @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(and_3_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ and_3 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ ( and @ X @ Y ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ ( and @ X @ Y ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ and_3 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(equivalence_2_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ equivalence_2 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( equiv @ X @ Y ) @ ( implies @ Y @ X ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( equiv @ X @ Y ) @ ( implies @ Y @ X ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ equivalence_2 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(principia_op_and,axiom, 0.21/0.53 mlocal @ ( mbox @ op_and ) ). 0.21/0.53 0.21/0.53 thf(op_equiv_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ op_equiv ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( equiv @ X @ Y ) @ ( and @ ( implies @ X @ Y ) @ ( implies @ Y @ X ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(r3_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ r3 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( or @ P @ Q ) @ ( or @ Q @ P ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( or @ P @ Q ) @ ( or @ Q @ P ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ r3 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(implies_1_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ implies_1 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ implies_1 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(or_2_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ or_2 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ Y @ ( or @ X @ Y ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ Y @ ( or @ X @ Y ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ or_2 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(and_2_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ and_2 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( and @ X @ Y ) @ Y ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( and @ X @ Y ) @ Y ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ and_2 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(eiw_di_nonempty,axiom, 0.21/0.53 ! [W: mworld] : 0.21/0.53 ? [X: $i] : ( eiw_di @ X @ W ) ). 0.21/0.53 0.21/0.53 thf(modus_tollens_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ modus_tollens ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ ( not @ Y ) @ ( not @ X ) ) @ ( implies @ X @ Y ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ ( not @ Y ) @ ( not @ X ) ) @ ( implies @ X @ Y ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ modus_tollens ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(equivalence_3_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ equivalence_3 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ X ) @ ( equiv @ X @ Y ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ X ) @ ( equiv @ X @ Y ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ equivalence_3 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(or_3_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ or_3 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Z: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ X @ Z ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ ( or @ X @ Y ) @ Z ) ) ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Z: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ X @ Z ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ ( or @ X @ Y ) @ Z ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ or_3 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(r4_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ r4 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [R: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( or @ P @ ( or @ Q @ R ) ) @ ( or @ Q @ ( or @ P @ R ) ) ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [R: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( or @ P @ ( or @ Q @ R ) ) @ ( or @ Q @ ( or @ P @ R ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ r4 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(is_a_theorem_substitution_1,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [A: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( is_a_theorem @ A ) ) ) @ ( mbox @ ( is_a_theorem @ B ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(equiv_substitution_2,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [A: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [B: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( equiv @ C @ A ) @ ( equiv @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(hilbert_equivalence_2,axiom, 0.21/0.53 mlocal @ ( mbox @ equivalence_2 ) ). 0.21/0.53 0.21/0.53 thf(substitution_of_equivalents_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ substitution_of_equivalents ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( is_a_theorem @ ( equiv @ X @ Y ) ) ) @ ( mbox @ ( qmltpeq @ X @ Y ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( is_a_theorem @ ( equiv @ X @ Y ) ) ) @ ( mbox @ ( qmltpeq @ X @ Y ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ substitution_of_equivalents ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(or_1_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ or_1 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ X @ ( or @ X @ Y ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ X @ ( or @ X @ Y ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ or_1 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(substitution_of_equivalents_1,axiom, 0.21/0.53 mlocal @ ( mbox @ substitution_of_equivalents ) ). 0.21/0.53 0.21/0.53 thf(transitivity,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(and_1_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ and_1 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( and @ X @ Y ) @ X ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( and @ X @ Y ) @ X ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ and_1 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(op_implies_and_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ op_implies_and ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( implies @ X @ Y ) @ ( not @ ( and @ X @ ( not @ Y ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(op_implies_or_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ op_implies_or ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( implies @ X @ Y ) @ ( or @ ( not @ X ) @ Y ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(hilbert_and_3,axiom, 0.21/0.53 mlocal @ ( mbox @ and_3 ) ). 0.21/0.53 0.21/0.53 thf(and_substitution_2,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [A: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [B: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( and @ C @ A ) @ ( and @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(reflexivity,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(symmetry,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(op_and_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ op_and ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( and @ X @ Y ) @ ( not @ ( or @ ( not @ X ) @ ( not @ Y ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(or_substitution_1,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [A: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [B: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( or @ A @ C ) @ ( or @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(hilbert_and_1,axiom, 0.21/0.53 mlocal @ ( mbox @ and_1 ) ). 0.21/0.53 0.21/0.53 thf(implies_2_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ implies_2 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ X @ ( implies @ X @ Y ) ) @ ( implies @ X @ Y ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ X @ ( implies @ X @ Y ) ) @ ( implies @ X @ Y ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ implies_2 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(hilbert_and_2,axiom, 0.21/0.53 mlocal @ ( mbox @ and_2 ) ). 0.21/0.53 0.21/0.53 thf(hilbert_op_or,axiom, 0.21/0.53 mlocal @ ( mbox @ op_or ) ). 0.21/0.53 0.21/0.53 thf(hilbert_implies_2,axiom, 0.21/0.53 mlocal @ ( mbox @ implies_2 ) ). 0.21/0.53 0.21/0.53 thf(hilbert_equivalence_3,axiom, 0.21/0.53 mlocal @ ( mbox @ equivalence_3 ) ). 0.21/0.53 0.21/0.53 thf(equiv_substitution_1,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [A: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [B: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( equiv @ A @ C ) @ ( equiv @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(hilbert_op_implies_and,axiom, 0.21/0.53 mlocal @ ( mbox @ op_implies_and ) ). 0.21/0.53 0.21/0.53 thf(hilbert_or_3,axiom, 0.21/0.53 mlocal @ ( mbox @ or_3 ) ). 0.21/0.53 0.21/0.53 thf(op_or_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ op_or ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( qmltpeq @ ( or @ X @ Y ) @ ( not @ ( and @ ( not @ X ) @ ( not @ Y ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(kn3_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ kn3 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [R: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ P @ Q ) @ ( implies @ ( not @ ( and @ Q @ R ) ) @ ( not @ ( and @ R @ P ) ) ) ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [R: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ P @ Q ) @ ( implies @ ( not @ ( and @ Q @ R ) ) @ ( not @ ( and @ R @ P ) ) ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ kn3 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(mrel_reflexive,axiom, 0.21/0.53 ! [W: mworld] : ( mrel @ W @ W ) ). 0.21/0.53 0.21/0.53 thf(hilbert_or_2,axiom, 0.21/0.53 mlocal @ ( mbox @ or_2 ) ). 0.21/0.53 0.21/0.53 thf(principia_op_implies_or,axiom, 0.21/0.53 mlocal @ ( mbox @ op_implies_or ) ). 0.21/0.53 0.21/0.53 thf(implies_substitution_1,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [A: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [B: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( implies @ A @ C ) @ ( implies @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(r2_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ r2 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : ( mbox @ ( is_a_theorem @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : ( mbox @ ( is_a_theorem @ ( implies @ Q @ ( or @ P @ Q ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ r2 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(principia_r2,conjecture, 0.21/0.53 mlocal @ ( mbox @ r2 ) ). 0.21/0.53 0.21/0.53 thf(cn2_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ cn2 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : ( mbox @ ( is_a_theorem @ ( implies @ P @ ( implies @ ( not @ P ) @ Q ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : ( mbox @ ( is_a_theorem @ ( implies @ P @ ( implies @ ( not @ P ) @ Q ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ cn2 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(kn2_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ kn2 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( and @ P @ Q ) @ P ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Q: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( and @ P @ Q ) @ P ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ kn2 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(and_substitution_1,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [A: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [B: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( and @ A @ C ) @ ( and @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(hilbert_implies_1,axiom, 0.21/0.53 mlocal @ ( mbox @ implies_1 ) ). 0.21/0.53 0.21/0.53 thf(kn1_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ kn1 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : ( mbox @ ( is_a_theorem @ ( implies @ P @ ( and @ P @ P ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : ( mbox @ ( is_a_theorem @ ( implies @ P @ ( and @ P @ P ) ) ) ) ) ) 0.21/0.53 @ ( mbox @ kn1 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(r1_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ r1 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( or @ P @ P ) @ P ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [P: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( or @ P @ P ) @ P ) ) ) ) ) 0.21/0.53 @ ( mbox @ r1 ) ) ) ) ) ). 0.21/0.53 0.21/0.53 thf(hilbert_implies_3,axiom, 0.21/0.53 mlocal @ ( mbox @ implies_3 ) ). 0.21/0.53 0.21/0.53 thf(equivalence_1_0,axiom, 0.21/0.53 ( mlocal 0.21/0.53 @ ( mand 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mimplies @ ( mbox @ equivalence_1 ) 0.21/0.53 @ ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [X: $i] : 0.21/0.53 ( mbox 0.21/0.53 @ ( mforall_di 0.21/0.53 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( equiv @ X @ Y ) @ ( implies @ X @ Y ) ) ) ) ) ) ) ) ) ) 0.21/0.53 @ ( mbox 0.40/0.56 @ ( mimplies 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [X: $i] : 0.40/0.56 ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [Y: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( equiv @ X @ Y ) @ ( implies @ X @ Y ) ) ) ) ) ) ) ) 0.40/0.56 @ ( mbox @ equivalence_1 ) ) ) ) ) ). 0.40/0.56 0.40/0.56 thf(cn3_0,axiom, 0.40/0.56 ( mlocal 0.40/0.56 @ ( mand 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mimplies @ ( mbox @ cn3 ) 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [P: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ ( not @ P ) @ P ) @ P ) ) ) ) ) ) ) 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mimplies 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [P: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ ( not @ P ) @ P ) @ P ) ) ) ) ) 0.40/0.56 @ ( mbox @ cn3 ) ) ) ) ) ). 0.40/0.56 0.40/0.56 thf(hilbert_modus_ponens,axiom, 0.40/0.56 mlocal @ ( mbox @ modus_ponens ) ). 0.40/0.56 0.40/0.56 thf(hilbert_modus_tollens,axiom, 0.40/0.56 mlocal @ ( mbox @ modus_tollens ) ). 0.40/0.56 0.40/0.56 thf(implies_3_0,axiom, 0.40/0.56 ( mlocal 0.40/0.56 @ ( mand 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mimplies @ ( mbox @ implies_3 ) 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [X: $i] : 0.40/0.56 ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [Y: $i] : 0.40/0.56 ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [Z: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ) ) 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mimplies 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [X: $i] : 0.40/0.56 ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [Y: $i] : 0.40/0.56 ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [Z: $i] : ( mbox @ ( is_a_theorem @ ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) ) ) ) ) ) ) ) ) 0.40/0.56 @ ( mbox @ implies_3 ) ) ) ) ) ). 0.40/0.56 0.40/0.56 thf(modus_ponens_0,axiom, 0.40/0.56 ( mlocal 0.40/0.56 @ ( mand 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mimplies @ ( mbox @ modus_ponens ) 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [X: $i] : 0.40/0.56 ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( is_a_theorem @ X ) ) @ ( mbox @ ( is_a_theorem @ ( implies @ X @ Y ) ) ) ) @ ( mbox @ ( is_a_theorem @ Y ) ) ) ) ) ) ) ) ) ) 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mimplies 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [X: $i] : 0.40/0.56 ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( is_a_theorem @ X ) ) @ ( mbox @ ( is_a_theorem @ ( implies @ X @ Y ) ) ) ) @ ( mbox @ ( is_a_theorem @ Y ) ) ) ) ) ) ) ) 0.40/0.56 @ ( mbox @ modus_ponens ) ) ) ) ) ). 0.40/0.56 0.40/0.56 thf(hilbert_equivalence_1,axiom, 0.40/0.56 mlocal @ ( mbox @ equivalence_1 ) ). 0.40/0.56 0.40/0.56 thf(not_substitution_1,axiom, 0.40/0.56 ( mlocal 0.40/0.56 @ ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [A: $i] : 0.40/0.56 ( mbox 0.40/0.56 @ ( mforall_di 0.40/0.56 @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( not @ A ) @ ( not @ B ) ) ) ) ) ) ) ) ) ) ). 0.40/0.56 0.40/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.2IaMiP6QCP/cvc5---1.0.5_5631.p... 0.40/0.56 (declare-sort $$unsorted 0) 0.40/0.56 (declare-sort tptp.mworld 0) 0.40/0.56 (declare-fun tptp.mrel (tptp.mworld tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.mactual () tptp.mworld) 0.40/0.56 (declare-fun tptp.mlocal ((-> tptp.mworld Bool)) Bool) 0.40/0.56 (assert (= tptp.mlocal (lambda ((Phi (-> tptp.mworld Bool))) (@ Phi tptp.mactual)))) 0.40/0.56 (declare-fun tptp.mnot ((-> tptp.mworld Bool) tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.mand ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.mor ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.mimplies ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.mequiv ((-> tptp.mworld Bool) (-> tptp.mworld Bool) tptp.mworld) Bool) 0.40/0.56 (assert (= tptp.mnot (lambda ((A (-> tptp.mworld Bool)) (W tptp.mworld)) (not (@ A W))))) 0.40/0.56 (assert (= tptp.mand (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (and (@ A W) (@ B W))))) 0.40/0.56 (assert (= tptp.mor (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (or (@ A W) (@ B W))))) 0.40/0.56 (assert (= tptp.mimplies (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (=> (@ A W) (@ B W))))) 0.40/0.56 (assert (= tptp.mequiv (lambda ((A (-> tptp.mworld Bool)) (B (-> tptp.mworld Bool)) (W tptp.mworld)) (= (@ A W) (@ B W))))) 0.40/0.56 (declare-fun tptp.mbox ((-> tptp.mworld Bool) tptp.mworld) Bool) 0.40/0.56 (assert (= tptp.mbox (lambda ((Phi (-> tptp.mworld Bool)) (W tptp.mworld)) (forall ((V tptp.mworld)) (=> (@ (@ tptp.mrel W) V) (@ Phi V)))))) 0.40/0.56 (declare-fun tptp.mdia ((-> tptp.mworld Bool) tptp.mworld) Bool) 0.40/0.56 (assert (= tptp.mdia (lambda ((Phi (-> tptp.mworld Bool)) (W tptp.mworld)) (exists ((V tptp.mworld)) (and (@ (@ tptp.mrel W) V) (@ Phi V)))))) 0.40/0.56 (declare-fun tptp.eiw_di ($$unsorted tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.mforall_di ((-> $$unsorted tptp.mworld Bool) tptp.mworld) Bool) 0.40/0.56 (assert (= tptp.mforall_di (lambda ((A (-> $$unsorted tptp.mworld Bool)) (W tptp.mworld)) (forall ((X $$unsorted)) (=> (@ (@ tptp.eiw_di X) W) (@ (@ A X) W)))))) 0.40/0.56 (declare-fun tptp.mexists_di ((-> $$unsorted tptp.mworld Bool) tptp.mworld) Bool) 0.40/0.56 (assert (= tptp.mexists_di (lambda ((A (-> $$unsorted tptp.mworld Bool)) (W tptp.mworld)) (exists ((X $$unsorted)) (and (@ (@ tptp.eiw_di X) W) (@ (@ A X) W)))))) 0.40/0.56 (declare-fun tptp.r2 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.r3 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.r4 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.r5 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.equivalence_1 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.equivalence_2 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.cn2 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.cn1 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.cn3 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.kn2 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.kn1 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.kn3 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.equivalence_3 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.op_implies_or (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.op_and (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.and_2 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.and_3 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.and_1 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.implies_2 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.implies_3 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.op_implies_and (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.implies_1 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.substitution_of_equivalents (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.op_or (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.modus_tollens (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.or_1 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.or_2 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.or_3 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.op_equiv (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.modus_ponens (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.r1 (tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.qmltpeq ($$unsorted $$unsorted tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.is_a_theorem ($$unsorted tptp.mworld) Bool) 0.40/0.56 (declare-fun tptp.equiv ($$unsorted $$unsorted) $$unsorted) 0.40/0.56 (declare-fun tptp.not ($$unsorted) $$unsorted) 0.40/0.56 (declare-fun tptp.or ($$unsorted $$unsorted) $$unsorted) 0.40/0.56 (declare-fun tptp.and ($$unsorted $$unsorted) $$unsorted) 0.40/0.56 (declare-fun tptp.implies ($$unsorted $$unsorted) $$unsorted) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.r5))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((R $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.or P))) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies Q) R)) (@ (@ tptp.implies (@ _let_1 Q)) (@ _let_1 R))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((R $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.or P))) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies Q) R)) (@ (@ tptp.implies (@ _let_1 Q)) (@ _let_1 R))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.or_1))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.cn1))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((R $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.implies P))) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ _let_1 Q)) (@ (@ tptp.implies (@ (@ tptp.implies Q) R)) (@ _let_1 R))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((R $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.implies P))) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ _let_1 Q)) (@ (@ tptp.implies (@ (@ tptp.implies Q) R)) (@ _let_1 R))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.op_equiv))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.op_equiv))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.or C))) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox (@ (@ tptp.qmltpeq (@ _let_1 A)) (@ _let_1 B))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.implies C))) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox (@ (@ tptp.qmltpeq (@ _let_1 A)) (@ _let_1 B))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.and_3))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies X) (@ (@ tptp.implies Y) (@ (@ tptp.and X) Y))))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies X) (@ (@ tptp.implies Y) (@ (@ tptp.and X) Y))))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.equivalence_2))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.equiv X) Y)) (@ (@ tptp.implies Y) X)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.equiv X) Y)) (@ (@ tptp.implies Y) X)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.op_and))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox tptp.op_equiv)) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.qmltpeq (@ (@ tptp.equiv X) Y)) (@ (@ tptp.and (@ (@ tptp.implies X) Y)) (@ (@ tptp.implies Y) X)))) __flatten_var_0)))) __flatten_var_0)))))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.r3))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.or P) Q)) (@ (@ tptp.or Q) P)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.or P) Q)) (@ (@ tptp.or Q) P)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.implies_1))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies X) (@ (@ tptp.implies Y) X)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies X) (@ (@ tptp.implies Y) X)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.or_2))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies Y) (@ (@ tptp.or X) Y)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies Y) (@ (@ tptp.or X) Y)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.and_2))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.and X) Y)) Y))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.and X) Y)) Y))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (forall ((W tptp.mworld)) (exists ((X $$unsorted)) (@ (@ tptp.eiw_di X) W)))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.modus_tollens))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies (@ tptp.not Y)) (@ tptp.not X))) (@ (@ tptp.implies X) Y)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies (@ tptp.not Y)) (@ tptp.not X))) (@ (@ tptp.implies X) Y)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.equivalence_3))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies X) Y)) (@ (@ tptp.implies (@ (@ tptp.implies Y) X)) (@ (@ tptp.equiv X) Y))))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies X) Y)) (@ (@ tptp.implies (@ (@ tptp.implies Y) X)) (@ (@ tptp.equiv X) Y))))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.or_3))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Z $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies X) Z)) (@ (@ tptp.implies (@ (@ tptp.implies Y) Z)) (@ (@ tptp.implies (@ (@ tptp.or X) Y)) Z))))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Z $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies X) Z)) (@ (@ tptp.implies (@ (@ tptp.implies Y) Z)) (@ (@ tptp.implies (@ (@ tptp.or X) Y)) Z))))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.r4))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((R $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.or P))) (let ((_let_2 (@ tptp.or Q))) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ _let_1 (@ _let_2 R))) (@ _let_2 (@ _let_1 R))))) __flatten_var_0)))))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((R $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.or P))) (let ((_let_2 (@ tptp.or Q))) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ _let_1 (@ _let_2 R))) (@ _let_2 (@ _let_1 R))))) __flatten_var_0)))))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox (@ tptp.is_a_theorem A)))) (@ tptp.mbox (@ tptp.is_a_theorem B)))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.equiv C))) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox (@ (@ tptp.qmltpeq (@ _let_1 A)) (@ _let_1 B))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.equivalence_2))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.substitution_of_equivalents))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.equiv X) Y)))) (@ tptp.mbox (@ (@ tptp.qmltpeq X) Y)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.equiv X) Y)))) (@ tptp.mbox (@ (@ tptp.qmltpeq X) Y)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.or_1))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies X) (@ (@ tptp.or X) Y)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies X) (@ (@ tptp.or X) Y)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.substitution_of_equivalents))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Z $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.qmltpeq X))) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox (@ _let_1 Y))) (@ tptp.mbox (@ (@ tptp.qmltpeq Y) Z)))) (@ tptp.mbox (@ _let_1 Z)))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.and_1))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.and X) Y)) X))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.and X) Y)) X))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox tptp.op_implies_and)) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.qmltpeq (@ (@ tptp.implies X) Y)) (@ tptp.not (@ (@ tptp.and X) (@ tptp.not Y))))) __flatten_var_0)))) __flatten_var_0)))))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox tptp.op_implies_or)) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.qmltpeq (@ (@ tptp.implies X) Y)) (@ (@ tptp.or (@ tptp.not X)) Y))) __flatten_var_0)))) __flatten_var_0)))))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.and_3))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.and C))) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox (@ (@ tptp.qmltpeq (@ _let_1 A)) (@ _let_1 B))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.qmltpeq X) X)) __flatten_var_0)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ (@ tptp.qmltpeq X) Y))) (@ tptp.mbox (@ (@ tptp.qmltpeq Y) X)))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox tptp.op_and)) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.qmltpeq (@ (@ tptp.and X) Y)) (@ tptp.not (@ (@ tptp.or (@ tptp.not X)) (@ tptp.not Y))))) __flatten_var_0)))) __flatten_var_0)))))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox (@ (@ tptp.qmltpeq (@ (@ tptp.or A) C)) (@ (@ tptp.or B) C))))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.and_1))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.implies_2))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.implies X))) (let ((_let_2 (@ _let_1 Y))) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ _let_1 _let_2)) _let_2))) __flatten_var_0)))))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.implies X))) (let ((_let_2 (@ _let_1 Y))) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ _let_1 _let_2)) _let_2))) __flatten_var_0)))))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.and_2))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.op_or))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.implies_2))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.equivalence_3))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox (@ (@ tptp.qmltpeq (@ (@ tptp.equiv A) C)) (@ (@ tptp.equiv B) C))))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.op_implies_and))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.or_3))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox tptp.op_or)) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.qmltpeq (@ (@ tptp.or X) Y)) (@ tptp.not (@ (@ tptp.and (@ tptp.not X)) (@ tptp.not Y))))) __flatten_var_0)))) __flatten_var_0)))))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.kn3))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((R $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies P) Q)) (@ (@ tptp.implies (@ tptp.not (@ (@ tptp.and Q) R))) (@ tptp.not (@ (@ tptp.and R) P)))))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((R $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies P) Q)) (@ (@ tptp.implies (@ tptp.not (@ (@ tptp.and Q) R))) (@ tptp.not (@ (@ tptp.and R) P)))))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (forall ((W tptp.mworld)) (@ (@ tptp.mrel W) W))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.or_2))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.op_implies_or))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox (@ (@ tptp.qmltpeq (@ (@ tptp.implies A) C)) (@ (@ tptp.implies B) C))))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.r2))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies Q) (@ (@ tptp.or P) Q)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies Q) (@ (@ tptp.or P) Q)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (not (@ tptp.mlocal (@ tptp.mbox tptp.r2)))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.cn2))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies P) (@ (@ tptp.implies (@ tptp.not P)) Q)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies P) (@ (@ tptp.implies (@ tptp.not P)) Q)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.kn2))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.and P) Q)) P))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Q $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.and P) Q)) P))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((C $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox (@ (@ tptp.qmltpeq (@ (@ tptp.and A) C)) (@ (@ tptp.and B) C))))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.implies_1))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.kn1))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies P) (@ (@ tptp.and P) P)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies P) (@ (@ tptp.and P) P)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.r1))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.or P) P)) P))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.or P) P)) P))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (@ tptp.mlocal (@ tptp.mbox tptp.implies_3))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.equivalence_1))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.equiv X) Y)) (@ (@ tptp.implies X) Y)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.equiv X) Y)) (@ (@ tptp.implies X) Y)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 0.40/0.56 (assert (let ((_let_1 (@ tptp.mbox tptp.cn3))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies (@ tptp.not P)) P)) P))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((P $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ (@ tptp.implies (@ tptp.not P)) P)) P))) __flatte/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 5834 Alarm clock ( read result; case "$result" in 179.85/180.08 unsat) 179.85/180.08 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0 179.85/180.08 ;; 179.85/180.08 sat) 179.85/180.08 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0 179.85/180.08 ;; 179.85/180.08 esac; exit 1 ) 179.85/180.09 n_var_0))))) _let_1)))))) 179.85/180.09 (assert (@ tptp.mlocal (@ tptp.mbox tptp.modus_ponens))) 179.85/180.09 (assert (@ tptp.mlocal (@ tptp.mbox tptp.modus_tollens))) 179.85/180.09 (assert (let ((_let_1 (@ tptp.mbox tptp.implies_3))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Z $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.implies X))) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ _let_1 Y)) (@ (@ tptp.implies (@ (@ tptp.implies Y) Z)) (@ _let_1 Z))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Z $$unsorted) (__flatten_var_0 tptp.mworld)) (let ((_let_1 (@ tptp.implies X))) (@ (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies (@ _let_1 Y)) (@ (@ tptp.implies (@ (@ tptp.implies Y) Z)) (@ _let_1 Z))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 179.85/180.09 (assert (let ((_let_1 (@ tptp.mbox tptp.modus_ponens))) (@ tptp.mlocal (@ (@ tptp.mand (@ tptp.mbox (@ (@ tptp.mimplies _let_1) (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox (@ tptp.is_a_theorem X))) (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies X) Y))))) (@ tptp.mbox (@ tptp.is_a_theorem Y)))) __flatten_var_0)))) __flatten_var_0))))))) (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ tptp.mforall_di (lambda ((X $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((Y $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox (@ tptp.is_a_theorem X))) (@ tptp.mbox (@ tptp.is_a_theorem (@ (@ tptp.implies X) Y))))) (@ tptp.mbox (@ tptp.is_a_theorem Y)))) __flatten_var_0)))) __flatten_var_0))))) _let_1)))))) 179.85/180.09 (assert (@ tptp.mlocal (@ tptp.mbox tptp.equivalence_1))) 179.85/180.09 (assert (@ tptp.mlocal (@ tptp.mbox (@ tptp.mforall_di (lambda ((A $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ tptp.mforall_di (lambda ((B $$unsorted) (__flatten_var_0 tptp.mworld)) (@ (@ tptp.mbox (@ (@ tptp.mimplies (@ tptp.mbox (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox (@ (@ tptp.qmltpeq (@ tptp.not A)) (@ tptp.not B))))) __flatten_var_0)))) __flatten_var_0)))))) 179.85/180.09 (set-info :filename cvc5---1.0.5_5631) 179.85/180.09 (check-sat-assuming ( true )) 179.85/180.09 ------- get file name : TPTP file name is 179.85/180.09 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5631.smt2... 179.85/180.09 --- Run --ho-elim --full-saturate-quant at 10... 179.85/180.09 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10... 179.85/180.09 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10... 179.85/180.09 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5... 179.85/180.09 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5... 179.85/180.09 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10... 179.85/180.09 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10... 179.85/180.09 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10... 179.85/180.09 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10... 179.85/180.09 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant... 179.85/180.09 % cvc5---1.0.5 exiting 179.85/180.09 % cvc5---1.0.5 exiting 179.85/180.09 EOF