TSTP Solution File: SYN054+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN054+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri Sep 1 02:01:07 EDT 2023
% Result : Theorem 0.20s 0.50s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN054+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 22:12:26 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.5msbd2zrtU/cvc5---1.0.5_25173.p...
% 0.20/0.50 ------- get file name : TPTP file name is SYN054+1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25173.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.50 % SZS status Theorem for SYN054+1
% 0.20/0.50 % SZS output start Proof for SYN054+1
% 0.20/0.50 (
% 0.20/0.50 (let ((_let_1 (not (exists ((X $$unsorted)) (and (tptp.big_p X) (tptp.big_r X)))))) (let ((_let_2 (forall ((X $$unsorted)) (=> (or (tptp.big_q X) (tptp.big_r X)) (tptp.big_s X))))) (let ((_let_3 (=> (not (exists ((X $$unsorted)) (tptp.big_p X))) (exists ((Y $$unsorted)) (tptp.big_q Y))))) (let ((_let_4 (forall ((X $$unsorted)) (=> (tptp.big_p X) (or (tptp.big_q X) (tptp.big_r X)))))) (let ((_let_5 (not (exists ((X $$unsorted)) (and (tptp.big_s X) (tptp.big_q X)))))) (let ((_let_6 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_6 _let_7))) (let ((_let_11 (forall ((Y $$unsorted)) (not (tptp.big_q Y))))) (let ((_let_12 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (not _let_12))) (let ((_let_14 (and _let_13 (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_15 (tptp.big_s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_13))) (let ((_let_18 (or _let_14 _let_15))) (let ((_let_19 (forall ((X $$unsorted)) (or (not (tptp.big_s X)) (not (tptp.big_q X)))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (forall ((X $$unsorted)) (or (and (not (tptp.big_q X)) (not (tptp.big_r X))) (tptp.big_s X))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_11))) (let ((_let_25 (_let_24))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_25)) :args _let_25) (REWRITE :args ((=> _let_24 (not _let_13)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_11))) (REFL :args (_let_12)) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_15 _let_14 (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.big_q X)))) :args (_let_21))) _let_22 :args (_let_18 false _let_21)) (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_13 _let_16 (not _let_17)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_q X) false))))) :args (_let_19))) _let_20 :args (_let_17 false _let_19)) (REORDERING (CNF_AND_POS :args (_let_14 0)) :args ((or _let_13 (not _let_14)))) :args (_let_13 false _let_18 true _let_15 false _let_17 true _let_14)) :args (_let_11 true _let_12)))) (let ((_let_27 (_let_11))) (let ((_let_28 (forall ((X $$unsorted)) (or (not (tptp.big_p X)) (tptp.big_q X) (tptp.big_r X))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (forall ((X $$unsorted)) (not (tptp.big_p X))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (_let_31))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32) (REWRITE :args ((=> _let_31 (not _let_9)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) (REFL :args (_let_8)) :args _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)))) _let_26 :args (_let_31 false _let_11)) :args (_let_8 true _let_30)))) (let ((_let_34 (not _let_7))) (let ((_let_35 (or _let_9 _let_34))) (let ((_let_36 (forall ((X $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_r X)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_6 _let_7 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_9 _let_34 (not _let_35)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) false))))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_34 false _let_8 false _let_35)) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) false))))) :args (_let_28))) _let_29 :args (_let_10 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_27) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_q Y) false))))) :args _let_27)) _let_26 :args ((not _let_6) false _let_11)) :args (false true _let_7 false _let_8 false _let_10 true _let_6)) :args (_let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))
% 0.20/0.51 )
% 0.20/0.51 % SZS output end Proof for SYN054+1
% 0.20/0.51 % cvc5---1.0.5 exiting
% 0.20/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------