TSTP Solution File: ANA016-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 17:14:30 EDT 2023
% Result : Unsatisfiable 0.22s 0.55s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n014.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 : Fri Aug 25 18:02:18 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.aA7g0lSJCG/cvc5---1.0.5_2944.p...
% 0.22/0.52 ------- get file name : TPTP file name is ANA016-2
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2944.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55 % SZS status Unsatisfiable for ANA016-2
% 0.22/0.55 % SZS output start Proof for ANA016-2
% 0.22/0.55 (
% 0.22/0.55 (let ((_let_1 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__field T)) (tptp.class_Ring__and__Field_Ofield T))))) (let ((_let_2 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))) (let ((_let_3 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T)) (tptp.class_OrderedGroup_Omonoid__mult T))))) (let ((_let_4 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= V_a tptp.c_0) (= (tptp.c_times V_a (tptp.c_HOL_Oinverse V_a T_a) T_a) tptp.c_1))))) (let ((_let_5 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Osemigroup__mult T_a)) (= (tptp.c_times (tptp.c_times V_a V_b T_a) V_c T_a) (tptp.c_times V_a (tptp.c_times V_b V_c T_a) T_a)))))) (let ((_let_6 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= (tptp.c_times tptp.c_1 V_y T_a) V_y))))) (let ((_let_7 (tptp.class_Ring__and__Field_Oordered__field tptp.t_a))) (let ((_let_8 (tptp.v_g tptp.v_x))) (let ((_let_9 (tptp.c_HOL_Oinverse tptp.v_c tptp.t_a))) (let ((_let_10 (tptp.c_times tptp.v_c (tptp.c_times _let_9 _let_8 tptp.t_a) tptp.t_a))) (let ((_let_11 (= _let_8 _let_10))) (let ((_let_12 (not _let_11))) (let ((_let_13 (not (= tptp.v_c tptp.c_0)))) (let ((_let_14 (tptp.c_times tptp.v_c _let_9 tptp.t_a))) (let ((_let_15 (= tptp.c_1 _let_14))) (let ((_let_16 (= _let_8 (tptp.c_times tptp.c_1 _let_8 tptp.t_a)))) (let ((_let_17 (= _let_10 (tptp.c_times _let_14 _let_8 tptp.t_a)))) (let ((_let_18 (= tptp.c_0 tptp.v_c))) (let ((_let_19 (tptp.class_Ring__and__Field_Ofield tptp.t_a))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_15))) (let ((_let_22 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ofield T_a)) (= tptp.c_0 V_a) (= tptp.c_1 (tptp.c_times V_a (tptp.c_HOL_Oinverse V_a T_a) T_a)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (not _let_7))) (let ((_let_25 (or _let_24 _let_19))) (let ((_let_26 (_let_1))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_19 (not _let_25)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__field T) false))))) :args _let_26)) _let_27 :args (_let_25 false _let_1)) :args (_let_19 false _let_7 false _let_25)))) (let ((_let_29 (tptp.class_OrderedGroup_Omonoid__mult tptp.t_a))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_16))) (let ((_let_32 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__mult T_a)) (= V_y (tptp.c_times tptp.c_1 V_y T_a)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (or _let_20 _let_29))) (let ((_let_35 (_let_3))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (tptp.class_OrderedGroup_Osemigroup__mult tptp.t_a))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_17))) (let ((_let_40 (_let_5))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (or _let_20 _let_37))) (let ((_let_43 (_let_2))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (and _let_17 _let_15 _let_16))) (let ((_let_46 (_let_17 _let_15 _let_16))) (let ((_let_47 (ASSUME :args (_let_17)))) (let ((_let_48 (ASSUME :args (_let_15)))) (let ((_let_49 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_45)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_47 _let_48 _let_49) (SCOPE (TRANS (SYMM (SYMM _let_49)) (CONG (SYMM (SYMM _let_48)) (REFL :args (_let_8)) (REFL :args (tptp.t_a)) :args (APPLY_UF tptp.c_times)) (SYMM _let_47)) :args _let_46)) :args _let_46)) :args (true _let_45)) :args ((or _let_11 (not _let_17) (not _let_15) (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_17 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_37 _let_20 (not _let_42)))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Ofield T) false))))) :args _let_43)) _let_44 :args (_let_42 false _let_2)) :args (_let_37 false _let_19 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.t_a tptp.v_c _let_9 _let_8 QUANTIFIERS_INST_E_MATCHING ((tptp.c_times V_a (tptp.c_times V_b V_c T_a) T_a)))) :args _let_40))) _let_41 :args (_let_39 false _let_5)) :args (_let_17 false _let_37 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_16 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_20 _let_29 (not _let_34)))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Ofield T) false))))) :args _let_35)) _let_36 :args (_let_34 false _let_3)) :args (_let_29 false _let_19 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.t_a _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_times tptp.c_1 V_y T_a)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_16 false _let_29 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_18 _let_20 _let_15 (not _let_21)))) (SYMM (ASSUME :args (_let_13))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.t_a tptp.v_c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oinverse V_a T_a)))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_15 true _let_18 false _let_19 false _let_21)) (ASSUME :args (_let_12)) :args (false false _let_17 false _let_16 false _let_15 true _let_11)) :args (_let_13 _let_12 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55 )
% 0.22/0.55 % SZS output end Proof for ANA016-2
% 0.22/0.55 % cvc5---1.0.5 exiting
% 0.22/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------