TSTP Solution File: GEO498+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:51:35 EDT 2023
% Result : Theorem 0.21s 0.67s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 23:22:27 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.21/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.67 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6rv3J5zGlI/cvc5---1.0.5_17558.p...
% 0.21/0.67 ------- get file name : TPTP file name is GEO498+1
% 0.21/0.67 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17558.smt2...
% 0.21/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.67 % SZS status Theorem for GEO498+1
% 0.21/0.67 % SZS output start Proof for GEO498+1
% 0.21/0.67 (
% 0.21/0.67 (let ((_let_1 (not (forall ((Xa $$unsorted) (Xp $$unsorted) (Xr $$unsorted) (Xq $$unsorted)) (or (not (= (tptp.s Xa Xp) Xr)) (not (= (tptp.s Xa Xq) Xr)) (= Xp Xq)))))) (let ((_let_2 (forall ((Xp $$unsorted) (Xa $$unsorted) (Xr $$unsorted) (Xq $$unsorted)) (or (not (tptp.s_m Xp Xa Xr)) (not (tptp.s_m Xp Xa Xq)) (= Xr Xq))))) (let ((_let_3 (forall ((Xp $$unsorted) (Xa $$unsorted)) (tptp.s_m Xp Xa (tptp.s Xa Xp))))) (let ((_let_4 (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (or (not (tptp.s_m Xa Xm Xb)) (tptp.s_m Xb Xm Xa))))) (let ((_let_5 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (tptp.s_m _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.s_m _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (not _let_7))) (let ((_let_12 (or _let_11 _let_10))) (let ((_let_13 (forall ((Xa $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (not (= (tptp.s Xa Xp) (tptp.s Xa Xq))) (= Xp Xq))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (or))) (let ((_let_17 (not _let_13))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_15) :args (_let_17))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_13))) (REFL :args (_let_14)) :args _let_16)) _let_15 :args (_let_14 true _let_13)))) (let ((_let_19 (tptp.s_m SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_8))) (let ((_let_22 (_let_4))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 ((not (= (tptp.s_m Xa Xm Xb) false))))) (let ((_let_25 (_let_3))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 ((tptp.s Xa Xp)))) (let ((_let_28 (not _let_9))) (let ((_let_29 (tptp.s_m _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_10))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.s_m SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_29))) (let ((_let_37 (ASSUME :args (_let_28)))) (let ((_let_38 (ASSUME :args (_let_7)))) (let ((_let_39 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_37 _let_38 _let_39) :args (_let_7 _let_8 _let_28)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_39)) (CONG (SYMM (SYMM _let_38)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args (APPLY_UF tptp.s_m)) (FALSE_INTRO _let_37))) :args (_let_28 _let_7 _let_8)) :args ((not (and _let_7 _let_8 _let_28)) SB_LITERAL))) (CONG (REFL :args (_let_11)) (REFL :args ((not _let_8))) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_9))) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_10 _let_30 _let_28 (not _let_31)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_12 1)) _let_18 :args ((not _let_10) true _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_29 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_25)) _let_26 :args (_let_34 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_22)) _let_23 :args (_let_36 false _let_4)) :args (_let_29 false _let_34 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.s_m Xp Xa Xr) false)) (not (= (tptp.s_m Xp Xa Xq) false))))) :args _let_32))) _let_33 :args (_let_31 false _let_2)) :args (_let_28 true _let_10 false _let_29 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_8 (not _let_21)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_25)) _let_26 :args (_let_19 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_22)) _let_23 :args (_let_21 false _let_4)) :args (_let_8 false _let_19 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 0)) (CONG (REFL :args (_let_12)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_7))) :args _let_16)) :args ((or _let_7 _let_12))) _let_18 :args (_let_7 true _let_12)) :args (false true _let_9 false _let_8 false _let_7)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (tptp.s_e X Y Y X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (V $$unsorted) (Z2 $$unsorted) (V2 $$unsorted)) (or (not (tptp.s_e X Y Z V)) (not (tptp.s_e X Y Z2 V2)) (tptp.s_e Z V Z2 V2))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.s_e X Y Z Z)) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.ext X Y W V))) (and (tptp.s_t X Y _let_1) (tptp.s_e Y _let_1 W V)))) (forall ((X $$unsorted) (Y $$unsorted) (X1 $$unsorted) (Y1 $$unsorted) (Z $$unsorted) (Z1 $$unsorted) (V $$unsorted) (V1 $$unsorted)) (or (not (tptp.s_e X Y X1 Y1)) (not (tptp.s_e Y Z Y1 Z1)) (not (tptp.s_e X V X1 V1)) (not (tptp.s_e Y V Y1 V1)) (not (tptp.s_t X Y Z)) (not (tptp.s_t X1 Y1 Z1)) (= X Y) (tptp.s_e Z V Z1 V1))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.s_t X Y X)) (= X Y))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xc $$unsorted) (Xb $$unsorted) (Xq $$unsorted)) (let ((_let_1 (tptp.ip Xa Xp Xc Xb Xq))) (let ((_let_2 (not (tptp.s_t Xb Xq Xc)))) (let ((_let_3 (not (tptp.s_t Xa Xp Xc)))) (and (or _let_3 _let_2 (tptp.s_t Xp _let_1 Xb)) (or _let_3 _let_2 (tptp.s_t Xq _let_1 Xa))))))) (and (not (tptp.s_t tptp.alpha tptp.beta tptp.gamma)) (not (tptp.s_t tptp.beta tptp.gamma tptp.alpha)) (not (tptp.s_t tptp.gamma tptp.alpha tptp.beta))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_e Xa Xb Xa Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xc Xd Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (not (tptp.s_e Xc Xd Xe Xf)) (tptp.s_e Xa Xb Xe Xf))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xb Xa Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xa Xb Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_e Xa Xa Xb Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa1 Xb1 Xc1)) (not (tptp.s_e Xa Xb Xa1 Xb1)) (not (tptp.s_e Xb Xc Xb1 Xc1)) (tptp.s_e Xa Xc Xa1 Xc1))) (forall ((Xq $$unsorted) (Xa $$unsorted) (Xd $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xq Xa) (not (tptp.s_t Xq Xa Xd)) (not (tptp.s_e Xa Xd Xb Xc)) (= Xd (tptp.ext Xq Xa Xb Xc)))) (forall ((Xb $$unsorted) (Xc $$unsorted) (Xa $$unsorted)) (or (not (tptp.s_e Xb Xc Xa Xa)) (= Xb Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_e Xa Xb Xc Xd)) (tptp.s_e Xb Xa Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (XA $$unsorted) (XB $$unsorted) (XC $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t XA XB XC)) (not (tptp.s_e Xa Xb XB XC)) (not (tptp.s_e Xb Xc XA XB)) (tptp.s_e Xa Xc XA XC))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_t Xa Xb Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (tptp.s_t Xc Xb Xa))) (forall ((Xa1 $$unsorted) (Xb1 $$unsorted)) (tptp.s_t Xa1 Xa1 Xb1)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xa Xc)) (= Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xd)) (not (tptp.s_t Xb Xc Xd)) (tptp.s_t Xa Xb Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xc Xd)) (tptp.s_t Xb Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xc Xd)) (= Xb Xc) (tptp.s_t Xa Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xd)) (not (tptp.s_t Xb Xc Xd)) (tptp.s_t Xa Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xc Xd)) (tptp.s_t Xa Xb Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xb Xc Xd)) (= Xb Xc) (tptp.s_t Xa Xb Xd))) (not (= tptp.alpha tptp.beta)) (not (= tptp.beta tptp.gamma)) (not (= tptp.alpha tptp.gamma)) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_t Xa Xb (tptp.ext Xa Xb tptp.alpha tptp.gamma))) (forall ((Xb $$unsorted) (Xa $$unsorted)) (not (= Xb (tptp.ext Xa Xb tptp.alpha tptp.gamma)))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xp $$unsorted)) (let ((_let_1 (tptp.crossbar Xa Xb Xc Xa1 Xb1 Xp))) (let ((_let_2 (not (tptp.s_t Xa Xp Xa1)))) (let ((_let_3 (not (tptp.s_t Xa1 Xb1 Xc)))) (let ((_let_4 (not (tptp.s_t Xa Xb Xc)))) (and (or _let_4 _let_3 _let_2 (tptp.s_t Xp _let_1 Xc)) (or _let_4 _let_3 _let_2 (tptp.s_t Xb _let_1 Xb1)))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (tptp.s_ifs Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1)) (tptp.s_e Xb Xd Xb1 Xd1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa1 Xb1 Xc1)) (not (tptp.s_e Xa Xc Xa1 Xc1)) (not (tptp.s_e Xb Xc Xb1 Xc1)) (tptp.s_e Xa Xb Xa1 Xb1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xc1 $$unsorted)) (let ((_let_1 (tptp.insert Xa Xb Xa1 Xc1))) (let ((_let_2 (not (tptp.s_e Xa Xc Xa1 Xc1)))) (let ((_let_3 (not (tptp.s_t Xa Xb Xc)))) (and (or _let_3 _let_2 (tptp.s_t Xa1 _let_1 Xc1)) (or _let_3 _let_2 (tptp.s_e3 Xa Xb Xc Xa1 _let_1 Xc1))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (tptp.s_t Xa1 Xb1 Xc1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xb Xc Xa))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xc Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xc Xb Xa))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xb Xa Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_col Xa Xc Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_col Xa Xa Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.s_col Xa Xb Xa)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1)) (tptp.s_col Xa1 Xb1 Xc1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e Xa Xb Xa1 Xb1)) (tptp.s_e3 Xa Xb Xc Xa1 Xb1 (tptp.insert5 Xa Xb Xc Xa1 Xb1)))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (tptp.s_fs Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1)) (= Xa Xb) (tptp.s_e Xc Xd Xc1 Xd1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (= Xa Xb) (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e Xa Xp Xa Xq)) (not (tptp.s_e Xb Xp Xb Xq)) (tptp.s_e Xc Xp Xc Xq))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xc1 $$unsorted)) (or (= Xa Xb) (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_e Xa Xc Xa Xc1)) (not (tptp.s_e Xb Xc Xb Xc1)) (= Xc Xc1))) (forall ((Xa $$unsorted) (Xc $$unsorted) (Xb $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.s_t Xa Xc Xb)) (not (tptp.s_e Xa Xc Xa Xc1)) (not (tptp.s_e Xb Xc Xb Xc1)) (= Xc Xc1))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xb Xd)) (tptp.s_t Xa Xc Xd) (tptp.s_t Xa Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_t Xa Xb Xd)) (tptp.s_t Xb Xc Xd) (tptp.s_t Xb Xd Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xd $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xd)) (not (tptp.s_t Xa Xc Xd)) (tptp.s_t Xa Xb Xc) (tptp.s_t Xa Xc Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (let ((_let_1 (tptp.ins Xc Xd Xa Xb))) (let ((_let_2 (not (tptp.le Xa Xb Xc Xd)))) (and (or _let_2 (tptp.s_t Xa Xb _let_1)) (or _let_2 (tptp.s_e Xa _let_1 Xc Xd)) (or _let_2 (= _let_1 (tptp.ext Xa Xb (tptp.insert Xa Xb Xc Xd) Xd))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted)) (or (tptp.le Xa Xb Xc Xd) (not (tptp.s_t Xa Xb Xe)) (not (tptp.s_e Xa Xe Xc Xd)))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (or (not (tptp.le Xa Xb Xc Xd)) (not (tptp.s_e Xa Xb Xa1 Xb1)) (not (tptp.s_e Xc Xd Xc1 Xd1)) (tptp.le Xa1 Xb1 Xc1 Xd1))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (tptp.le Xa Xb Xa Xb)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted) (Xf $$unsorted)) (or (not (tptp.le Xa Xb Xc Xd)) (not (tptp.le Xc Xd Xe Xf)) (tptp.le Xa Xb Xe Xf))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (not (tptp.le Xa Xb Xc Xd)) (not (tptp.le Xc Xd Xa Xb)) (tptp.s_e Xa Xb Xc Xd))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (tptp.le Xa Xb Xc Xd) (tptp.le Xc Xd Xa Xb))) (forall ((Xa $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (tptp.le Xa Xa Xc Xd)) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_t Xa Xb Xc)) (tptp.le Xa Xb Xa Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_t Xa Xb Xc)) (tptp.le Xb Xc Xa Xc))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_t Xa Xb Xc)) (not (tptp.s_e Xa Xc Xa Xb)) (= Xc Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.s_col Xa Xb Xc)) (tptp.s_t Xa Xb Xc) (not (tptp.le Xa Xb Xa Xc)) (not (tptp.le Xb Xc Xa Xc)))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xa Xp) (= Xb Xp) (= Xc Xp) (not (tptp.s_t Xa Xp Xc)) (not (tptp.s_t Xb Xp Xc)) (tptp.sameside Xa Xp Xb))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (= Xa Xp) (= Xb Xp) (= Xc Xp) (not (tptp.s_t Xa Xp Xc)) (tptp.s_t Xb Xp Xc) (not (tptp.sameside Xa Xp Xb)))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.c63 Xa Xp Xb))) (let ((_let_2 (not (tptp.sameside Xa Xp Xb)))) (and (or _let_2 (not (= Xa Xp))) (or _let_2 (not (= Xb Xp))) (or _let_2 (not (= _let_1 Xp))) (or _let_2 (tptp.s_t Xa Xp _let_1)) (or _let_2 (tptp.s_t Xb Xp _let_1)))))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (tptp.sameside Xa Xp Xb) (= Xa Xp) (= Xb Xp) (= Xc Xp) (not (tptp.s_t Xa Xp Xc)) (not (tptp.s_t Xb Xp Xc)))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (not (tptp.sameside Xa Xp Xb)))) (and (or _let_1 (tptp.s_col Xa Xp Xb)) (or _let_1 (not (tptp.s_t Xa Xp Xb)))))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (tptp.sameside Xa Xp Xb) (not (tptp.s_col Xa Xp Xb)) (tptp.s_t Xa Xp Xb))) (forall ((Xa $$unsorted) (Xp $$unsorted)) (or (= Xa Xp) (tptp.sameside Xa Xp Xa))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (tptp.sameside Xb Xp Xa))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (not (tptp.sameside Xb Xp Xc)) (tptp.sameside Xa Xp Xc))) (forall ((Xr $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (let ((_let_1 (tptp.insert Xb Xc Xa Xr))) (let ((_let_2 (= Xb Xc))) (let ((_let_3 (= Xr Xa))) (and (or _let_3 _let_2 (tptp.sameside _let_1 Xa Xr)) (or _let_3 _let_2 (tptp.s_e Xa _let_1 Xb Xc))))))) (forall ((Xr $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xp $$unsorted) (Xq $$unsorted)) (or (= Xr Xa) (= Xb Xc) (not (tptp.sameside Xp Xa Xr)) (not (tptp.s_e Xa Xp Xb Xc)) (not (tptp.sameside Xq Xa Xr)) (not (tptp.s_e Xa Xq Xb Xc)) (= Xp Xq))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (not (tptp.le Xp Xa Xp Xb)) (tptp.s_t Xp Xa Xb))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (or (not (tptp.sameside Xa Xp Xb)) (tptp.le Xp Xa Xp Xb) (not (tptp.s_t Xp Xa Xb)))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (tptp.s_col Xa Xp Xq)) (= Xa Xp) (tptp.sameside Xa Xp Xq) (tptp.sameside Xa Xp Xr))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (tptp.sameside Xa Xp Xq)) (tptp.s_col Xa Xp Xq))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (tptp.sameside Xa Xp Xr)) (tptp.s_col Xa Xp Xq))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted) (Xa $$unsorted)) (or (= Xp Xq) (= Xp Xr) (not (tptp.s_t Xq Xp Xr)) (not (= Xa Xp)) (tptp.s_col Xa Xp Xq))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted)) (or (= Xa Xb) (not (tptp.s_t Xc Xa Xb)) (not (tptp.s_t Xd Xa Xb)) (tptp.s_t Xd Xc Xb) (tptp.s_t Xc Xd Xb))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xcs $$unsorted) (Xr $$unsorted)) (or (= Xp Xq) (= Xcs Xp) (not (tptp.s_col Xp Xq Xcs)) (not (tptp.s_col Xp Xq Xr)) (tptp.s_col Xp Xcs Xr))) (forall ((Xp $$unsorted) (Xq $$unsorted)) (or (= Xp Xq) (tptp.s_col Xp Xq Xp))) (forall ((Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted)) (or (= Xp Xq) (not (tptp.s_col Xp Xq Xr)) (tptp.s_col Xq Xp Xr))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xr $$unsorted)) (or (= Xa Xb) (= Xp Xq) (not (tptp.s_col Xp Xq Xa)) (not (tptp.s_col Xp Xq Xb)) (not (tptp.s_col Xp Xq Xr)) (tptp.s_col Xa Xb Xr))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xp $$unsorted) (Xq $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xe $$unsorted)) (or (= Xa Xb) (= Xp Xq) (not (tptp.s_col Xa Xb Xc)) (not (tptp.s_col Xp Xq Xc)) (not (tptp.s_col Xa Xb Xd)) (not (tptp.s_col Xp Xq Xd)) (= Xc Xd) (not (tptp.s_col Xa Xb Xe)) (tptp.s_col Xp Xq Xe))) (forall ((Xa $$unsorted) (Xb $$unsorted)) (or (= Xa Xb) (not (tptp.s_col Xa Xb (tptp.pointOffLine Xa Xb))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted)) (or (not (tptp.sameside Xa Xb Xc)) (not (tptp.sameside Xa1 Xb1 Xc1)) (not (tptp.s_e Xb Xa Xb1 Xa1)) (not (tptp.s_e Xb Xc Xb1 Xc1)) (tptp.s_e Xa Xc Xa1 Xc1))) _let_4 (forall ((Xa $$unsorted) (Xm $$unsorted)) (or (not (tptp.s_m Xa Xm Xa)) (= Xm Xa))) (forall ((Xa $$unsorted) (Xm $$unsorted)) (or (tptp.s_m Xa Xm Xa) (not (= Xm Xa)))) _let_3 _let_2 (forall ((Xp $$unsorted) (Xa $$unsorted) (Xq $$unsorted)) (or (not (tptp.s_m Xp Xa Xq)) (= Xq (tptp.s Xa Xp)))) (forall ((Xa $$unsorted) (Xp $$unsorted)) (= (tptp.s Xa (tptp.s Xa Xp)) Xp)) _let_1 (forall ((Xa $$unsorted) (Xb $$unsorted) (Xa1 $$unsorted) (Xc1 $$unsorted)) (= (tptp.insert Xa Xb Xa1 Xc1) (tptp.ext (tptp.ext Xc1 Xa1 tptp.alpha tptp.gamma) Xa1 Xa Xb))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Za $$unsorted) (Zb $$unsorted) (Zc $$unsorted) (Zd $$unsorted)) (let ((_let_1 (tptp.s_afs Xa Xb Xc Xd Za Zb Zc Zd))) (let ((_let_2 (tptp.s_e Xb Xd Zb Zd))) (let ((_let_3 (tptp.s_e Xa Xd Za Zd))) (let ((_let_4 (tptp.s_e Xb Xc Zb Zc))) (let ((_let_5 (tptp.s_e Xa Xb Za Zb))) (let ((_let_6 (tptp.s_t Za Zb Zc))) (let ((_let_7 (tptp.s_t Xa Xb Xc))) (let ((_let_8 (not _let_1))) (and (or _let_8 _let_7) (or _let_8 _let_6) (or _let_8 _let_5) (or _let_8 _let_4) (or _let_8 _let_3) (or _let_8 _let_2) (or (not _let_7) (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Za $$unsorted) (Zb $$unsorted) (Zc $$unsorted) (Zd $$unsorted)) (let ((_let_1 (tptp.s_ifs Xa Xb Xc Xd Za Zb Zc Zd))) (let ((_let_2 (tptp.s_e Xc Xd Zc Zd))) (let ((_let_3 (tptp.s_e Xa Xd Za Zd))) (let ((_let_4 (tptp.s_e Xb Xc Zb Zc))) (let ((_let_5 (tptp.s_e Xa Xc Za Zc))) (let ((_let_6 (tptp.s_t Za Zb Zc))) (let ((_let_7 (tptp.s_t Xa Xb Xc))) (let ((_let_8 (not _let_1))) (and (or _let_8 _let_7) (or _let_8 _let_6) (or _let_8 _let_5) (or _let_8 _let_4) (or _let_8 _let_3) (or _let_8 _let_2) (or (not _let_7) (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))))) (forall ((Xa1 $$unsorted) (Xa2 $$unsorted) (Xa3 $$unsorted) (Xb1 $$unsorted) (Xb2 $$unsorted) (Xb3 $$unsorted)) (let ((_let_1 (tptp.s_e3 Xa1 Xa2 Xa3 Xb1 Xb2 Xb3))) (let ((_let_2 (tptp.s_e Xa2 Xa3 Xb2 Xb3))) (let ((_let_3 (tptp.s_e Xa1 Xa3 Xb1 Xb3))) (let ((_let_4 (tptp.s_e Xa1 Xa2 Xb1 Xb2))) (let ((_let_5 (not _let_1))) (and (or _let_5 _let_4) (or _let_5 _let_3) (or _let_5 _let_2) (or (not _let_4) (not _let_3) (not _let_2) _let_1)))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (let ((_let_1 (tptp.s_t Xc Xa Xb))) (let ((_let_2 (tptp.s_col Xa Xb Xc))) (let ((_let_3 (tptp.s_t Xb Xc Xa))) (let ((_let_4 (tptp.s_t Xa Xb Xc))) (and (or (not _let_2) _let_4 _let_3 _let_1) (or _let_2 (not _let_4)) (or _let_2 (not _let_3)) (or _let_2 (not _let_1)))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Xa1 $$unsorted) (Xb1 $$unsorted) (Xc1 $$unsorted) (Xd1 $$unsorted)) (let ((_let_1 (tptp.s_fs Xa Xb Xc Xd Xa1 Xb1 Xc1 Xd1))) (let ((_let_2 (tptp.s_e Xb Xd Xb1 Xd1))) (let ((_let_3 (tptp.s_e Xa Xd Xa1 Xd1))) (let ((_let_4 (tptp.s_e3 Xa Xb Xc Xa1 Xb1 Xc1))) (let ((_let_5 (tptp.s_col Xa Xb Xc))) (let ((_let_6 (not _let_1))) (and (or _let_6 _let_5) (or _let_6 _let_4) (or _let_6 _let_3) (or _let_6 _let_2) (or (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))) (forall ((Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted) (Xd $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.le Xa Xb Xc Xd))) (let ((_let_2 (tptp.insert Xa Xb Xc Xd))) (let ((_let_3 (not _let_1))) (and (or _let_3 (tptp.s_t Xc _let_2 Xd)) (or _let_3 (tptp.s_e Xa Xb Xc _let_2)) (or (not (tptp.s_t Xc Y Xd)) (not (tptp.s_e Xa Xb Xc Y)) _let_1)))))) (forall ((Xa $$unsorted) (Xp $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.sameside Xa Xp Xb))) (let ((_let_2 (= Xb Xp))) (let ((_let_3 (= Xa Xp))) (let ((_let_4 (tptp.s_t Xp Xb Xa))) (let ((_let_5 (tptp.s_t Xp Xa Xb))) (let ((_let_6 (not _let_1))) (and (or _let_6 (not _let_3)) (or _let_6 (not _let_2)) (or _let_6 _let_5 _let_4) (or (not _let_5) _let_3 (= tptp.xb Xp) _let_1) (or (not _let_4) _let_3 _let_2 _let_1))))))))) (forall ((Xa $$unsorted) (Xm $$unsorted) (Xb $$unsorted)) (let ((_let_1 (tptp.s_m Xa Xm Xb))) (let ((_let_2 (tptp.s_e Xm Xa Xm Xb))) (let ((_let_3 (tptp.s_t Xa Xm Xb))) (let ((_let_4 (not _let_1))) (and (or _let_4 _let_3) (or _let_4 _let_2) (or (not _let_3) (not _let_2) _let_1))))))) (forall ((Xa1 $$unsorted) (Xm1 $$unsorted) (Xb1 $$unsorted) (Xc $$unsorted) (Xb2 $$unsorted) (Xm2 $$unsorted) (Xa2 $$unsorted)) (let ((_let_1 (tptp.s_kf Xa1 Xm1 Xb1 Xc Xb2 Xm2 Xa2))) (let ((_let_2 (tptp.s_m Xa2 Xm2 Xb2))) (let ((_let_3 (tptp.s_m Xa1 Xm1 Xb1))) (let ((_let_4 (tptp.s_e Xc Xa2 Xc Xb2))) (let ((_let_5 (tptp.s_e Xc Xa1 Xc Xb1))) (let ((_let_6 (tptp.s_t Xb1 Xc Xb2))) (let ((_let_7 (tptp.s_t Xa1 Xc Xa2))) (let ((_let_8 (not _let_1))) (and (or _let_8 _let_7) (or _let_8 _let_6) (or _let_8 _let_5) (or _let_8 _let_4) (or _let_8 _let_3) (or _let_8 _let_2) (or (not _let_7) (not _let_6) (not _let_5) (not _let_4) (not _let_3) (not _let_2) _let_1))))))))))) true))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.68 )
% 0.21/0.68 % SZS output end Proof for GEO498+1
% 0.21/0.68 % cvc5---1.0.5 exiting
% 0.21/0.68 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------