TSTP Solution File: SET881+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET881+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 14:40:52 EDT 2023
% Result : Theorem 10.43s 10.64s
% Output : Proof 10.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET881+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 12:25:56 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 10.43/10.64 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4jANs5nS7T/cvc5---1.0.5_9017.p...
% 10.43/10.64 ------- get file name : TPTP file name is SET881+1
% 10.43/10.64 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9017.smt2...
% 10.43/10.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.43/10.64 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.43/10.64 % SZS status Theorem for SET881+1
% 10.43/10.64 % SZS output start Proof for SET881+1
% 10.43/10.64 (
% 10.43/10.64 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_difference (tptp.singleton A) (tptp.unordered_pair A B)) tptp.empty_set))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.set_difference (tptp.singleton A) B) tptp.empty_set) (tptp.in A B))))) (let ((_let_3 (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_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.in A B) (= tptp.empty_set (tptp.set_difference (tptp.singleton A) B)))))) (let ((_let_5 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_5))) (let ((_let_7 (= tptp.empty_set (tptp.set_difference (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_5)))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (not _let_8))) (let ((_let_11 (forall ((D $$unsorted)) (= (or (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.in D (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= A D) (= B D)))))))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (_let_11))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= tptp.empty_set (tptp.set_difference (tptp.singleton A) (tptp.unordered_pair A B)))))) (let ((_let_16 (not _let_7))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (not _let_15))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_4)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_8)) :args ((or _let_7 (not _let_6) _let_10))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_18))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_15))) (REFL :args (_let_16)) :args (or))) _let_17 :args (_let_16 true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_14) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_14))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_12)))) _let_13 :args (_let_11 false _let_12)) :args (_let_6 false _let_11)) :args (_let_10 true _let_7 false _let_6)) _let_9 :args (false true _let_8 false _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_3 (tptp.empty tptp.empty_set) _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true)))))))))))))))))))))
% 10.43/10.64 )
% 10.43/10.64 % SZS output end Proof for SET881+1
% 10.43/10.65 % cvc5---1.0.5 exiting
% 10.43/10.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------