TSTP Solution File: SET903+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET903+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 14:40:55 EDT 2023
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET903+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n029.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 08:51:24 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bAsjosnLFA/cvc5---1.0.5_30091.p...
% 0.21/0.52 ------- get file name : TPTP file name is SET903+1
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30091.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for SET903+1
% 0.21/0.52 % SZS output start Proof for SET903+1
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.singleton A) (tptp.set_union2 B C)) (not (= B C)) (not (= B tptp.empty_set)) (not (= C tptp.empty_set)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.singleton A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (= C _let_1))) (not (and (= _let_1 (tptp.set_union2 B C)) (not (and _let_2 _let_3)) (not (and (= B tptp.empty_set) _let_3)) (not (and _let_2 (= C tptp.empty_set))))))))))) (let ((_let_3 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_4 (= _let_3 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_5 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_3))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_3))) (let ((_let_8 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_9 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (not _let_4))) (let ((_let_11 (or _let_10 _let_5 _let_9 _let_8))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.singleton A) (tptp.set_union2 B C))) (= B C) (= tptp.empty_set B) (= tptp.empty_set C))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (or))) (let ((_let_16 (not _let_12))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_14) :args (_let_16))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_12))) (REFL :args (_let_13)) :args _let_15)) _let_14 :args (_let_13 true _let_12)))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG (REFL :args (_let_11)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_4))) :args _let_15)) :args ((or _let_4 _let_11))) _let_17 :args (_let_4 true _let_11)))) (let ((_let_19 (not _let_5))) (let ((_let_20 (and _let_6 _let_7))) (let ((_let_21 (and _let_6 _let_8))) (let ((_let_22 (and _let_9 _let_7))) (let ((_let_23 (or _let_10 _let_20 _let_22 _let_21))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.singleton A))) (let ((_let_2 (= B _let_1))) (let ((_let_3 (= C _let_1))) (or (not (= _let_1 (tptp.set_union2 B C))) (and _let_2 _let_3) (and (= tptp.empty_set B) _let_3) (and _let_2 (= tptp.empty_set C))))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (not _let_21))) (let ((_let_27 (not _let_22))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_10 _let_20 _let_22 _let_21 (not _let_23)))) _let_18 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_9 _let_27))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 2)) _let_17 :args ((not _let_9) true _let_11)) :args (_let_27 true _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 1)) :args ((or _let_8 _let_26))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 3)) _let_17 :args ((not _let_8) true _let_11)) :args (_let_26 true _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.singleton A) (tptp.set_union2 B C)))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_20 false _let_4 true _let_22 true _let_21 false _let_23)))) (let ((_let_29 (not _let_20))) (let ((_let_30 (ASSUME :args (_let_4)))) (let ((_let_31 (SYMM (SYMM _let_30)))) (let ((_let_32 (ASSUME :args (_let_7)))) (let ((_let_33 (ASSUME :args (_let_6)))) (let ((_let_34 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_30 _let_33 _let_32 _let_34) :args (_let_4 _let_19 _let_6 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_34)) (TRUE_INTRO (TRANS (SYMM (SYMM _let_33)) _let_31 (SYMM (TRANS (SYMM (SYMM _let_32)) _let_31)))))) :args (_let_4 _let_6 _let_7 _let_19)) :args ((not (and _let_4 _let_19 _let_6 _let_7)) SB_LITERAL))) (CONG (REFL :args (_let_10)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_5))) (REFL :args ((not _let_6))) (REFL :args ((not _let_7))) :args _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 1)) :args ((or _let_7 _let_29))) _let_28 :args (_let_7 false _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 0)) :args ((or _let_6 _let_29))) _let_28 :args (_let_6 false _let_20)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 1)) _let_17 :args (_let_19 true _let_11)) _let_18 :args (false false _let_7 false _let_6 true _let_5 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))
% 0.21/0.52 )
% 0.21/0.52 % SZS output end Proof for SET903+1
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------