TSTP Solution File: SYN375+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN375+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 : Fri Sep 1 02:02:49 EDT 2023
% Result : Theorem 0.19s 0.50s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN375+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n006.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 : Sat Aug 26 19:06:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WFL78cyAVX/cvc5---1.0.5_23507.p...
% 0.19/0.50 ------- get file name : TPTP file name is SYN375+1
% 0.19/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23507.smt2...
% 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.50 % SZS status Theorem for SYN375+1
% 0.19/0.50 % SZS output start Proof for SYN375+1
% 0.19/0.50 (
% 0.19/0.50 (let ((_let_1 (forall ((X $$unsorted)) (tptp.big_p X)))) (let ((_let_2 (not (= (forall ((X $$unsorted)) (= (tptp.big_p X) (exists ((Y $$unsorted)) (tptp.big_p Y)))) (= _let_1 (exists ((Y $$unsorted)) (tptp.big_p Y))))))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.big_p X) (not (forall ((Y $$unsorted)) (not (tptp.big_p Y)))))))) (let ((_let_4 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_5 (forall ((Y $$unsorted)) (not (tptp.big_p Y))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (= _let_6 _let_4))) (let ((_let_8 (forall ((Y $$unsorted)) (not (tptp.big_p Y))))) (let ((_let_9 (not _let_8))) (let ((_let_10 (= _let_1 _let_9))) (let ((_let_11 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (= _let_6 _let_11))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (or))) (let ((_let_15 (not _let_3))) (let ((_let_16 (_let_15))) (let ((_let_17 (not _let_10))) (let ((_let_18 (_let_12))) (let ((_let_19 (SYMM (ALPHA_EQUIV :args (_let_8 (= Y Y)))))) (let ((_let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))))) (let ((_let_21 (_let_1))) (let ((_let_22 (_let_10))) (let ((_let_23 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_21) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) true))))) :args _let_21)))) (let ((_let_24 (not _let_11))) (let ((_let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))))) (let ((_let_26 (EQUIV_ELIM1 _let_19))) (let ((_let_27 (_let_8))) (let ((_let_28 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_27) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p Y) false))))) :args _let_27)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST _let_28 _let_26 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_18) (CONG (REFL :args _let_18) _let_25 (REFL :args (_let_24)) :args _let_14)) :args ((or _let_5 _let_12 _let_24))) (MACRO_RESOLUTION_TRUST _let_23 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_22) (CONG (REFL :args (_let_17)) (REFL :args _let_21) _let_20 :args _let_14)) :args ((or _let_1 _let_8 _let_17))) (EQUIV_ELIM2 _let_19) (REORDERING (CNF_EQUIV_NEG1 :args _let_18) :args ((or _let_6 _let_11 _let_12))) :args ((or _let_17 _let_11 _let_12) false _let_1 true _let_8 true _let_5)) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_16)) :args _let_16) (REWRITE :args ((=> _let_15 (not (= _let_11 _let_6))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_3))) (REFL :args ((not _let_12))) :args _let_14)) (NOT_EQUIV_ELIM1 _let_13) :args (_let_3 false _let_8 false _let_5 false _let_11 true _let_12 false _let_10)))) (let ((_let_30 (not _let_7))) (let ((_let_31 (not _let_4))) (let ((_let_32 (not _let_1))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM2 _let_13) _let_29 :args (_let_17 false _let_3)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST _let_23 (REORDERING (CNF_EQUIV_NEG1 :args _let_22) :args ((or _let_1 _let_9 _let_10))) _let_33 _let_28 :args (_let_9 false _let_1 true _let_10 true _let_11)))) (let ((_let_35 (_let_32))) (let ((_let_36 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) _let_6))))) :args _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args (_let_7)) (CONG (REFL :args (_let_30)) _let_25 (REFL :args (_let_4)) :args _let_14)) :args ((or _let_5 _let_4 _let_30))) (MACRO_RESOLUTION_TRUST _let_26 _let_34 :args (_let_6 true _let_8)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_35)) :args _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_1))) (REFL :args (_let_31)) :args _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_22) (CONG (REFL :args _let_22) (REFL :args _let_35) _let_20 :args _let_14)) :args ((or _let_8 _let_10 _let_32))) _let_34 _let_33 :args (_let_32 true _let_8 true _let_10)) :args (_let_31 true _let_1)) :args (_let_30 true _let_5 true _let_4)) _let_29 :args (false true _let_7 false _let_3)) :args (_let_2 true)))))))))))))))))))))))))))))))))))))))
% 0.19/0.51 )
% 0.19/0.51 % SZS output end Proof for SYN375+1
% 0.19/0.51 % cvc5---1.0.5 exiting
% 0.19/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------