TSTP Solution File: GRP715+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP715+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 : Thu Aug 31 00:27:19 EDT 2023
% Result : Theorem 56.76s 52.08s
% Output : Proof 56.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP715+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n012.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 : Mon Aug 28 20:57:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 56.76/52.08 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QxQP5HCTSL/cvc5---1.0.5_20651.p...
% 56.76/52.08 ------- get file name : TPTP file name is GRP715+1
% 56.76/52.08 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20651.smt2...
% 56.76/52.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 56.76/52.08 --- Run --no-e-matching --full-saturate-quant at 5...
% 56.76/52.08 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 56.76/52.08 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 56.76/52.08 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 56.76/52.08 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 56.76/52.08 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 56.76/52.08 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 56.76/52.08 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 56.76/52.08 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.76/52.08 % SZS status Theorem for GRP715+1
% 56.76/52.08 % SZS output start Proof for GRP715+1
% 56.76/52.08 (
% 56.76/52.08 (let ((_let_1 (not (forall ((X0 $$unsorted)) (and (= (tptp.mult (tptp.mult X0 tptp.op_a) tptp.op_b) X0) (= (tptp.mult (tptp.mult X0 tptp.op_b) tptp.op_a) X0)))))) (let ((_let_2 (tptp.mult tptp.op_b tptp.op_a))) (let ((_let_3 (= _let_2 tptp.unit))) (let ((_let_4 (tptp.mult tptp.op_a tptp.op_b))) (let ((_let_5 (= _let_4 tptp.unit))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)))) (let ((_let_8 (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.mult B B)) (tptp.mult (tptp.mult A B) B))))) (let ((_let_9 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.mult (tptp.mult (tptp.mult A B) C) B) (tptp.mult A (tptp.mult (tptp.mult B C) B)))))) (let ((_let_10 (= _let_4 _let_2))) (let ((_let_11 (tptp.mult _let_2 tptp.op_b))) (let ((_let_12 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.op_b))) (let ((_let_13 (tptp.mult _let_12 tptp.op_a))) (let ((_let_14 (= (tptp.mult _let_13 tptp.op_b) (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_11)))) (let ((_let_15 (tptp.mult _let_4 tptp.op_a))) (let ((_let_16 (= tptp.op_a _let_15))) (let ((_let_17 (tptp.mult _let_4 tptp.op_b))) (let ((_let_18 (= tptp.op_b _let_17))) (let ((_let_19 (tptp.mult tptp.op_b tptp.op_b))) (let ((_let_20 (tptp.mult _let_19 tptp.op_b))) (let ((_let_21 (tptp.mult tptp.op_a _let_20))) (let ((_let_22 (= (tptp.mult _let_17 tptp.op_b) _let_21))) (let ((_let_23 (tptp.mult tptp.op_a tptp.op_a))) (let ((_let_24 (tptp.mult _let_23 tptp.op_a))) (let ((_let_25 (tptp.mult tptp.op_b _let_24))) (let ((_let_26 (tptp.mult _let_2 tptp.op_a))) (let ((_let_27 (= (tptp.mult _let_26 tptp.op_a) _let_25))) (let ((_let_28 (tptp.mult tptp.op_a _let_19))) (let ((_let_29 (= _let_17 _let_28))) (let ((_let_30 (tptp.mult tptp.op_b _let_23))) (let ((_let_31 (= _let_26 _let_30))) (let ((_let_32 (tptp.mult _let_23 tptp.op_b))) (let ((_let_33 (tptp.mult _let_32 tptp.op_a))) (let ((_let_34 (= _let_33 (tptp.mult tptp.op_a _let_15)))) (let ((_let_35 (tptp.mult _let_4 _let_23))) (let ((_let_36 (= _let_35 (tptp.mult _let_15 tptp.op_a)))) (let ((_let_37 (tptp.mult _let_2 _let_19))) (let ((_let_38 (= _let_37 (tptp.mult _let_11 tptp.op_b)))) (let ((_let_39 (= (tptp.mult _let_37 tptp.op_a) (tptp.mult tptp.op_b (tptp.mult _let_28 tptp.op_a))))) (let ((_let_40 (tptp.mult _let_30 tptp.op_b))) (let ((_let_41 (= (tptp.mult _let_35 tptp.op_b) (tptp.mult tptp.op_a _let_40)))) (let ((_let_42 (tptp.mult _let_32 _let_23))) (let ((_let_43 (= _let_42 (tptp.mult _let_33 tptp.op_a)))) (let ((_let_44 (= _let_12 (tptp.mult _let_12 _let_4)))) (let ((_let_45 (= tptp.op_b (tptp.mult tptp.op_b _let_4)))) (let ((_let_46 (= _let_15 (tptp.mult _let_15 _let_4)))) (let ((_let_47 (tptp.mult _let_12 tptp.op_b))) (let ((_let_48 (= (tptp.mult (tptp.mult _let_47 _let_24) tptp.op_b) (tptp.mult _let_12 (tptp.mult _let_25 tptp.op_b))))) (let ((_let_49 (tptp.mult (tptp.mult _let_13 tptp.op_a) _let_20))) (let ((_let_50 (tptp.mult _let_49 tptp.op_a))) (let ((_let_51 (= _let_50 (tptp.mult _let_13 (tptp.mult _let_21 tptp.op_a))))) (let ((_let_52 (tptp.mult (tptp.mult _let_47 _let_23) tptp.op_b))) (let ((_let_53 (= _let_52 (tptp.mult _let_12 _let_40)))) (let ((_let_54 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_4)))) (let ((_let_55 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_56 (= _let_49 (tptp.mult _let_50 tptp.op_b)))) (let ((_let_57 (= (tptp.mult (tptp.mult _let_50 tptp.op_a) tptp.op_a) (tptp.mult _let_49 _let_24)))) (let ((_let_58 (= (tptp.mult _let_52 _let_23) (tptp.mult _let_47 _let_42)))) (let ((_let_59 (= (tptp.mult (tptp.mult _let_12 _let_23) tptp.op_b) (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_40)))) (let ((_let_60 (SYMM (ASSUME :args (_let_5))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((= tptp.unit _let_2) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_62 (_let_9))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.mult (tptp.mult A B) C)))) (let ((_let_65 (forall ((A $$unsorted)) (= A (tptp.mult (tptp.mult tptp.op_a tptp.op_b) A))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_6)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_67 (_let_65))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.op_a QUANTIFIERS_INST_CBQI_PROP)) :args _let_67)) _let_66 :args (_let_16 false _let_65)))) (let ((_let_69 (tptp.op_b QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args _let_69) :args _let_67)) _let_66 :args (_let_18 false _let_65)))) (let ((_let_71 (_let_8))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((tptp.mult (tptp.mult A B) B)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.op_a tptp.op_b QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71))) _let_72 :args (_let_31 false _let_8)))) (let ((_let_75 ((tptp.mult A (tptp.mult (tptp.mult B C) B))))) (let ((_let_76 (forall ((A $$unsorted)) (= A (tptp.mult A (tptp.mult tptp.op_a tptp.op_b)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_78 (_let_76))) (let ((_let_79 (forall ((BOUND_VARIABLE_694 $$unsorted)) (= BOUND_VARIABLE_694 (tptp.mult (tptp.mult BOUND_VARIABLE_694 tptp.op_b) tptp.op_a))))) (let ((_let_80 (not _let_55))) (let ((_let_81 (forall ((BOUND_VARIABLE_687 $$unsorted)) (= BOUND_VARIABLE_687 (tptp.mult (tptp.mult BOUND_VARIABLE_687 tptp.op_a) tptp.op_b))))) (let ((_let_82 (not _let_79))) (let ((_let_83 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.mult (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.op_a) tptp.op_b)))) (let ((_let_84 (tptp.mult (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.op_b) _let_23))) (let ((_let_85 (tptp.mult _let_84 tptp.op_b))) (let ((_let_86 (= (tptp.mult (tptp.mult _let_85 _let_15) tptp.op_b) (tptp.mult _let_84 (tptp.mult (tptp.mult tptp.op_b _let_15) tptp.op_b))))) (let ((_let_87 (= _let_85 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40)))) (let ((_let_88 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.mult SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_4)))) (let ((_let_89 (not _let_31))) (let ((_let_90 (not _let_18))) (let ((_let_91 (not _let_16))) (let ((_let_92 (not _let_10))) (let ((_let_93 (and _let_10 _let_16 _let_18 _let_31 _let_88 _let_87 _let_86))) (let ((_let_94 (APPLY_UF tptp.mult))) (let ((_let_95 (REFL :args (tptp.op_b)))) (let ((_let_96 (ASSUME :args (_let_16)))) (let ((_let_97 (SYMM _let_96))) (let ((_let_98 (ASSUME :args (_let_88)))) (let ((_let_99 (REFL :args (tptp.op_a)))) (let ((_let_100 (SYMM _let_61))) (let ((_let_101 (CONG _let_100 _let_99 :args _let_94))) (let ((_let_102 (ASSUME :args (_let_31)))) (let ((_let_103 (CONG (TRANS (SYMM _let_102) _let_101 _let_97) _let_95 :args _let_94))) (let ((_let_104 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_103 :args _let_94))) (let ((_let_105 (ASSUME :args (_let_87)))) (let ((_let_106 (SYMM _let_105))) (let ((_let_107 (ASSUME :args (_let_86)))) (let ((_let_108 (ASSUME :args (_let_18)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (or))) (let ((_let_111 (not _let_81))) (let ((_let_112 (_let_111))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_112)) :args _let_112)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_81))) (REFL :args ((not _let_83))) :args _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_93)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_96 _let_61 _let_102 _let_105 _let_107 _let_108) (SCOPE (TRANS _let_98 (SYMM _let_104) _let_106 (CONG (REFL :args (_let_84)) (TRANS (SYMM _let_109) (CONG (TRANS _let_61 (CONG _let_95 _let_96 :args _let_94)) _let_95 :args _let_94)) :args _let_94) (SYMM _let_107) (CONG (CONG (TRANS (TRANS (SYMM _let_106) _let_104) (SYMM _let_98)) _let_97 :args _let_94) _let_95 :args _let_94)) :args (_let_88 _let_16 _let_10 _let_31 _let_87 _let_86 _let_18))) :args (_let_10 _let_16 _let_18 _let_31 _let_88 _let_87 _let_86))) :args (true _let_93)) :args ((or _let_92 _let_83 _let_91 _let_90 _let_89 (not _let_88) (not _let_87) (not _let_86)))) _let_61 _let_68 _let_70 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_78)) _let_77 :args (_let_88 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_23 tptp.op_b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_62)) _let_63 :args (_let_87 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_15 tptp.op_b _let_84 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_62)) _let_63 :args (_let_86 false _let_9)) :args (_let_83 false _let_10 false _let_16 false _let_18 false _let_31 false _let_88 false _let_87 false _let_86)) :args (_let_81 false _let_83)))) (let ((_let_114 (_let_82))) (let ((_let_115 (_let_81))) (let ((_let_116 (and _let_10 _let_14 _let_16 _let_18 _let_22 _let_27 _let_29 _let_31 _let_34 _let_36 _let_38 _let_39 _let_41 _let_43 _let_44 _let_45 _let_46 _let_48 _let_51 _let_53 _let_54 _let_56 _let_57 _let_58 _let_59))) (let ((_let_117 (ASSUME :args (_let_46)))) (let ((_let_118 (ASSUME :args (_let_41)))) (let ((_let_119 (ASSUME :args (_let_36)))) (let ((_let_120 (ASSUME :args (_let_27)))) (let ((_let_121 (REFL :args (_let_12)))) (let ((_let_122 (ASSUME :args (_let_48)))) (let ((_let_123 (TRANS (CONG _let_100 _let_95 :args _let_94) _let_109))) (let ((_let_124 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_125 (ASSUME :args (_let_14)))) (let ((_let_126 (ASSUME :args (_let_45)))) (let ((_let_127 (ASSUME :args (_let_29)))) (let ((_let_128 (ASSUME :args (_let_39)))) (let ((_let_129 (ASSUME :args (_let_38)))) (let ((_let_130 (ASSUME :args (_let_22)))) (let ((_let_131 (ASSUME :args (_let_51)))) (let ((_let_132 (TRANS (SYMM (SYMM _let_131)) (CONG (REFL :args (_let_13)) (TRANS (CONG (TRANS (SYMM _let_130) (CONG _let_109 _let_95 :args _let_94)) _let_99 :args _let_94) (CONG (TRANS (CONG (SYMM _let_123) _let_95 :args _let_94) (SYMM _let_129)) _let_99 :args _let_94) (SYMM (SYMM _let_128)) (CONG _let_95 (TRANS (CONG (TRANS (SYMM _let_127) _let_109) _let_99 :args _let_94) _let_100) :args _let_94) (SYMM _let_126)) :args _let_94) (SYMM (SYMM _let_125)) (CONG _let_124 _let_123 :args _let_94)))) (let ((_let_133 (ASSUME :args (_let_56)))) (let ((_let_134 (CONG (TRANS (SYMM (SYMM _let_133)) (CONG _let_132 _let_95 :args _let_94)) (REFL :args (_let_24)) :args _let_94))) (let ((_let_135 (ASSUME :args (_let_57)))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (CONG (CONG (SYMM _let_132) _let_99 :args _let_94) _let_99 :args _let_94))) (let ((_let_138 (REFL :args (_let_23)))) (let ((_let_139 (ASSUME :args (_let_34)))) (let ((_let_140 (ASSUME :args (_let_43)))) (let ((_let_141 (ASSUME :args (_let_58)))) (let ((_let_142 (ASSUME :args (_let_53)))) (let ((_let_143 (SYMM _let_103))) (let ((_let_144 (ASSUME :args (_let_44)))) (let ((_let_145 (ASSUME :args (_let_59)))) (let ((_let_146 (ASSUME :args (_let_54)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_116)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_96 _let_117 _let_61 _let_102 _let_118 _let_119 _let_120 _let_122 _let_108 _let_125 _let_126 _let_127 _let_128 _let_129 _let_130 _let_131 _let_133 _let_135 _let_139 _let_140 _let_141 _let_142 _let_144 _let_145 _let_146) (SCOPE (TRANS (SYMM (SYMM _let_146)) (CONG _let_124 _let_143 :args _let_94) (SYMM _let_145) (CONG (TRANS (TRANS (CONG (TRANS (SYMM (SYMM _let_144)) (CONG _let_121 _let_143 :args _let_94) (SYMM _let_142)) _let_138 :args _let_94) (SYMM (SYMM _let_141)) (CONG (REFL :args (_let_47)) (TRANS (SYMM (SYMM _let_140)) (CONG (TRANS (SYMM (SYMM _let_139)) (CONG _let_99 _let_97 :args _let_94)) _let_96 :args _let_94) (CONG _let_138 _let_97 :args _let_94)) :args _let_94) (SYMM _let_134) _let_136 (SYMM _let_137)) (TRANS _let_137 (SYMM _let_136) _let_134)) _let_95 :args _let_94) (SYMM (SYMM _let_122)) (CONG _let_121 (TRANS (CONG (TRANS (SYMM _let_120) (CONG (TRANS _let_101 _let_97) _let_99 :args _let_94)) _let_95 :args _let_94) (CONG (TRANS (CONG _let_96 _let_99 :args _let_94) (SYMM _let_119)) _let_95 :args _let_94) (SYMM (SYMM _let_118)) (CONG _let_96 _let_103 :args _let_94) (SYMM _let_117) _let_97) :args _let_94)) :args (_let_16 _let_46 _let_10 _let_31 _let_41 _let_36 _let_27 _let_48 _let_18 _let_14 _let_45 _let_29 _let_39 _let_38 _let_22 _let_51 _let_56 _let_57 _let_34 _let_43 _let_58 _let_53 _let_44 _let_59 _let_54))) :args (_let_10 _let_14 _let_16 _let_18 _let_22 _let_27 _let_29 _let_31 _let_34 _let_36 _let_38 _let_39 _let_41 _let_43 _let_44 _let_45 _let_46 _let_48 _let_51 _let_53 _let_54 _let_56 _let_57 _let_58 _let_59))) :args (true _let_116)) :args ((or _let_92 _let_55 (not _let_14) _let_91 _let_90 (not _let_22) (not _let_27) (not _let_29) _let_89 (not _let_34) (not _let_36) (not _let_38) (not _let_39) (not _let_41) (not _let_43) (not _let_44) (not _let_45) (not _let_46) (not _let_48) (not _let_51) (not _let_53) (not _let_54) (not _let_56) (not _let_57) (not _let_58) (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_23 tptp.op_b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_62)) _let_63 :args (_let_59 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.op_b _let_23 _let_47 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_58 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.op_a tptp.op_a _let_49 QUANTIFIERS_INST_CBQI_PROP)) :args _let_62)) _let_63 :args (_let_57 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_115) :args (_let_49 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_113 :args (_let_56 false _let_81)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_114)) :args _let_114)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_79))) (REFL :args (_let_80)) :args _let_110)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) _let_113 :args (_let_82 false _let_81)) :args (_let_80 true _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_78)) _let_77 :args (_let_54 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_23 tptp.op_b _let_12 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_62)) _let_63 :args (_let_53 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_20 tptp.op_a _let_13 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_62)) _let_63 :args (_let_51 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_24 tptp.op_b _let_12 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_62)) _let_63 :args (_let_48 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_78)) _let_77 :args (_let_46 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args _let_69) :args _let_78)) _let_77 :args (_let_45 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_78)) _let_77 :args (_let_44 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.op_a _let_32 QUANTIFIERS_INST_CBQI_PROP)) :args _let_71)) _let_72 :args (_let_43 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_23 tptp.op_b tptp.op_a QUANTIFIERS_INST_CBQI_PROP)) :args _let_62)) _let_63 :args (_let_41 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_19 tptp.op_a tptp.op_b QUANTIFIERS_INST_CBQI_PROP)) :args _let_62)) _let_63 :args (_let_39 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.op_b _let_2 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_38 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.op_a _let_4 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_36 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.op_b tptp.op_a tptp.op_a QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_62)) _let_63 :args (_let_34 false _let_9)) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.op_b tptp.op_a QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71))) _let_72 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.op_a tptp.op_a tptp.op_b QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_27 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.op_b tptp.op_b tptp.op_a QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_22 false _let_9)) _let_70 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.op_a tptp.op_b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_14 false _let_9)) _let_61 :args (false false _let_59 false _let_58 false _let_57 false _let_56 true _let_55 false _let_54 false _let_53 false _let_51 false _let_48 false _let_46 false _let_45 false _let_44 false _let_43 false _let_41 false _let_39 false _let_38 false _let_36 false _let_34 false _let_31 false _let_29 false _let_27 false _let_22 false _let_18 false _let_16 false _let_14 false _let_10)) :args ((forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.plus (tptp.plus A B) C) (tptp.plus A (tptp.plus B C)))) (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.plus A B) (tptp.plus B A))) (forall ((A $$unsorted)) (= (tptp.plus A tptp.op_0) A)) (forall ((A $$unsorted)) (= (tptp.plus A (tptp.minus A)) tptp.op_0)) (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.mult A (tptp.plus B C)) (tptp.plus (tptp.mult A B) (tptp.mult A C)))) _let_9 _let_8 _let_7 _let_6 _let_5 _let_3 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 56.76/52.08 )
% 56.76/52.08 % SZS output end Proof for GRP715+1
% 56.76/52.08 % cvc5---1.0.5 exiting
% 56.76/52.09 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------