TSTP Solution File: SEU143+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 16:29:31 EDT 2023
% Result : Theorem 0.19s 0.51s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU143+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 23:30:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.5P4uIfLbw1/cvc5---1.0.5_19263.p...
% 0.19/0.51 ------- get file name : TPTP file name is SEU143+1
% 0.19/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19263.smt2...
% 0.19/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.51 % SZS status Theorem for SEU143+1
% 0.19/0.51 % SZS output start Proof for SEU143+1
% 0.19/0.51 (
% 0.19/0.51 (let ((_let_1 (not (forall ((A $$unsorted)) (not (= (tptp.singleton A) tptp.empty_set)))))) (let ((_let_2 (forall ((A $$unsorted)) (= (= A tptp.empty_set) (forall ((B $$unsorted)) (not (tptp.in B A))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_4 (forall ((B $$unsorted)) (not (tptp.in B tptp.empty_set))))) (let ((_let_5 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set))) (let ((_let_6 (forall ((A $$unsorted)) (= (forall ((B $$unsorted)) (not (tptp.in B A))) (= tptp.empty_set A))))) (let ((_let_7 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_8 (forall ((C $$unsorted)) (= (tptp.in C tptp.empty_set) (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_9 (= tptp.empty_set (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (forall ((A $$unsorted)) (not (= tptp.empty_set (tptp.singleton A)))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (not _let_9))) (let ((_let_17 (_let_8))) (let ((_let_18 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_18) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in B tptp.empty_set) false))))) :args _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_17) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or _let_16 _let_8 (not _let_10)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_14) :args (_let_15)) (REWRITE :args ((=> _let_15 (not _let_16)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_13))) (REFL :args (_let_9)) :args (or))) _let_14 :args (_let_9 true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_11)))) _let_12 :args (_let_10 false _let_11)) :args (_let_8 false _let_9 false _let_10)) :args (_let_5 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_7 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_6)))) _let_7 :args (_let_4 false _let_6)) :args (false false _let_5 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_3 _let_2 true true (tptp.empty tptp.empty_set) _let_1 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) true)))))))))))))))))))))
% 0.19/0.51 )
% 0.19/0.51 % SZS output end Proof for SEU143+1
% 0.19/0.51 % cvc5---1.0.5 exiting
% 0.19/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------