TSTP Solution File: SET878+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET878+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 14:40:51 EDT 2023
% Result : Theorem 10.41s 10.74s
% Output : Proof 10.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET878+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 10:09:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 10.41/10.74 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.S2Pn14dSri/cvc5---1.0.5_7848.p...
% 10.41/10.74 ------- get file name : TPTP file name is SET878+1
% 10.41/10.74 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7848.smt2...
% 10.41/10.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.41/10.74 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.41/10.74 % SZS status Theorem for SET878+1
% 10.41/10.74 % SZS output start Proof for SET878+1
% 10.41/10.74 (
% 10.41/10.74 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (= (tptp.set_intersection2 _let_1 (tptp.unordered_pair A B)) _let_1)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (=> (tptp.in A B) (= (tptp.set_intersection2 B _let_1) _let_1)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= D A) (= D B)))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))))) (let ((_let_6 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.set_intersection2 _let_7 _let_6))) (let ((_let_9 (= _let_7 _let_8))) (let ((_let_10 (= _let_7 (tptp.set_intersection2 _let_7 _let_7)))) (let ((_let_11 (tptp.set_intersection2 _let_6 _let_7))) (let ((_let_12 (= _let_7 _let_11))) (let ((_let_13 (= _let_8 _let_11))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (= _let_1 (tptp.set_intersection2 _let_1 (tptp.unordered_pair A B))))))) (let ((_let_15 (not _let_9))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (or))) (let ((_let_18 (_let_15))) (let ((_let_19 (not _let_14))) (let ((_let_20 (forall ((A $$unsorted)) (= A (tptp.set_intersection2 A A))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_12))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (or (not (tptp.in A B)) (= _let_1 (tptp.set_intersection2 B _let_1))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (forall ((D $$unsorted)) (= (or (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.in D (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= A D) (= B D)))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_27))) (let ((_let_31 (_let_5))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (ASSUME :args (_let_10)))) (let ((_let_34 (SYMM (SYMM _let_33)))) (let ((_let_35 (ASSUME :args (_let_12)))) (let ((_let_36 (ASSUME :args (_let_13)))) (let ((_let_37 (ASSUME :args _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_33 _let_35 _let_36 _let_37) :args (_let_15 _let_10 _let_12 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_37)) (TRUE_INTRO (TRANS _let_34 (SYMM (TRANS (SYMM (SYMM _let_36)) (SYMM _let_35) _let_34)))))) :args (_let_10 _let_12 _let_13 _let_15)) :args ((not (and _let_15 _let_10 _let_12 _let_13)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_9))) (REFL :args ((not _let_10))) (REFL :args ((not _let_12))) (REFL :args ((not _let_13))) :args _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_6 _let_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_31))) _let_32 :args (_let_13 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_12 (not _let_24)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_30))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_28)))) _let_29 :args (_let_27 false _let_28)) :args (_let_22 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6 QUANTIFIERS_INST_ENUM)) :args (_let_25))) _let_26 :args (_let_24 false _let_25)) :args (_let_12 false _let_22 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_7 QUANTIFIERS_INST_ENUM)) :args (_let_20))) _let_21 :args (_let_10 false _let_20)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_16) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_14))) (REFL :args _let_18) :args _let_17)) _let_16 :args (_let_15 true _let_14)) :args (false false _let_13 false _let_12 false _let_10 true _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_5 _let_4 _let_3 _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true))))))))))))))))))))))))))))))))))))))))
% 10.41/10.75 )
% 10.41/10.75 % SZS output end Proof for SET878+1
% 10.41/10.75 % cvc5---1.0.5 exiting
% 10.41/10.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------