TSTP Solution File: SYN058+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN058+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri Sep 1 02:01:09 EDT 2023
% Result : Theorem 0.20s 0.49s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN058+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:24:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.SgqKc9QcOK/cvc5---1.0.5_30952.p...
% 0.20/0.49 ------- get file name : TPTP file name is SYN058+1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30952.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.49 % SZS status Theorem for SYN058+1
% 0.20/0.49 % SZS output start Proof for SYN058+1
% 0.20/0.49 (
% 0.20/0.49 (let ((_let_1 (not (forall ((X $$unsorted)) (=> (and (tptp.big_p X) (tptp.big_f X)) (tptp.big_g X)))))) (let ((_let_2 (=> (exists ((X $$unsorted)) (tptp.big_s X)) (forall ((X1 $$unsorted)) (=> (tptp.big_f X1) (tptp.big_g X1)))))) (let ((_let_3 (forall ((X $$unsorted)) (or (tptp.big_q X) (tptp.big_r X))))) (let ((_let_4 (=> _let_3 (exists ((X1 $$unsorted)) (and (tptp.big_q X1) (tptp.big_s X1)))))) (let ((_let_5 (forall ((X $$unsorted)) (=> (tptp.big_p X) (forall ((Z $$unsorted)) (tptp.big_q Z)))))) (let ((_let_6 (tptp.big_s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or (not (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_7))) (let ((_let_9 (forall ((X $$unsorted)) (not (tptp.big_s X))))) (let ((_let_10 (forall ((X1 $$unsorted)) (or (not (tptp.big_f X1)) (tptp.big_g X1))))) (let ((_let_11 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_13 _let_11))) (let ((_let_19 (forall ((X $$unsorted)) (or (not (tptp.big_p X)) (not (tptp.big_f X)) (tptp.big_g X))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (or))) (let ((_let_23 (not _let_19))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args (_let_23))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) (REFL :args (_let_20)) :args _let_22)) _let_21 :args (_let_20 true _let_19)))) (let ((_let_25 (REFL :args (_let_18)))) (let ((_let_26 (_let_10))) (let ((_let_27 (_let_9))) (let ((_let_28 (forall ((X1 $$unsorted)) (or (not (tptp.big_q X1)) (not (tptp.big_s X1)))))) (let ((_let_29 (not _let_8))) (let ((_let_30 (not _let_28))) (let ((_let_31 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_32 (or _let_31 (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_33 (forall ((Z $$unsorted)) (tptp.big_q Z)))) (let ((_let_34 (forall ((X $$unsorted)) (not (tptp.big_p X))))) (let ((_let_35 (_let_34))) (let ((_let_36 (_let_33))) (let ((_let_37 (not _let_3))) (let ((_let_38 (_let_37))) (let ((_let_39 (_let_30))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_8 1)) (CONG (REFL :args (_let_8)) (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_22)) :args ((or _let_6 _let_8))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_39)) :args _let_39)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) (REFL :args (_let_29)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_30 _let_37))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_38)) :args _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_3))) (REFL :args ((not _let_32))) :args _let_22)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_q Z) true))))) :args _let_36)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X) false))))) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_22)) :args ((or _let_16 _let_18))) _let_24 :args (_let_16 true _let_18)) :args ((not _let_34) false _let_16)) :args (_let_33 true _let_34)) :args (_let_31 false _let_33)) :args (_let_32 false _let_31)) :args (_let_3 false _let_32)) :args (_let_30 false _let_3)) :args (_let_29 true _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_27) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_s X) false))))) :args _let_27)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not (not _let_9)) _let_9))) (REFL :args _let_26) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f X1) false))))) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_11 _let_15))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_22)) :args ((or _let_12 _let_18))) _let_24 :args (_let_12 true _let_18)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 2)) _let_24 :args ((not _let_11) true _let_18)) :args (_let_15 false _let_12 true _let_11)) :args ((not _let_10) true _let_14)) :args (_let_9 true _let_10)) :args (_let_7 false _let_9)) :args (false true _let_8 true _let_6)) :args (_let_5 _let_4 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.50 )
% 0.20/0.50 % SZS output end Proof for SYN058+1
% 0.20/0.50 % cvc5---1.0.5 exiting
% 0.20/0.50 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------