TSTP Solution File: SYN354+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN354+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 02:02:42 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN354+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 21:25:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.EU4QwsFkOm/cvc5---1.0.5_19944.p...
% 0.20/0.54 ------- get file name : TPTP file name is SYN354+1
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19944.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for SYN354+1
% 0.20/0.54 % SZS output start Proof for SYN354+1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (forall ((X1 $$unsorted) (X2 $$unsorted)) (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f Y1 Y2))) (let ((_let_2 (tptp.big_g X2 Z))) (=> (tptp.big_f X1 X2) (=> (tptp.big_g X1 X2) (=> (=> (= _let_2 (tptp.big_g Y2 Z)) (=> _let_1 (tptp.big_f X2 Y2))) (=> (= _let_2 (tptp.big_g Y1 Z)) (and (tptp.big_f X1 Y1) (tptp.big_f X2 Y1) _let_1))))))))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_639 $$unsorted) (BOUND_VARIABLE_641 $$unsorted)) (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_639)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_639)) (not (tptp.big_f BOUND_VARIABLE_639 BOUND_VARIABLE_641)))))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4 _let_4))) (let ((_let_8 (forall ((BOUND_VARIABLE_653 $$unsorted) (BOUND_VARIABLE_655 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z))) (or (and (= (tptp.big_g BOUND_VARIABLE_655 Z) _let_1) (tptp.big_f BOUND_VARIABLE_653 BOUND_VARIABLE_655) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_655))) (= (tptp.big_g BOUND_VARIABLE_653 Z) (not _let_1))))))))) (let ((_let_9 (not _let_8))) (let ((_let_10 (not _let_2))) (let ((_let_11 (not (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_12 (or _let_6 _let_11 _let_10 _let_9))) (let ((_let_13 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.big_f X1 X2)) (not (tptp.big_g X1 X2)) (not (forall ((BOUND_VARIABLE_639 $$unsorted) (BOUND_VARIABLE_641 $$unsorted)) (or (not (tptp.big_f X1 BOUND_VARIABLE_639)) (not (tptp.big_f X2 BOUND_VARIABLE_639)) (not (tptp.big_f BOUND_VARIABLE_639 BOUND_VARIABLE_641))))) (not (forall ((BOUND_VARIABLE_653 $$unsorted) (BOUND_VARIABLE_655 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g X2 Z))) (or (and (= _let_1 (tptp.big_g BOUND_VARIABLE_655 Z)) (tptp.big_f BOUND_VARIABLE_653 BOUND_VARIABLE_655) (not (tptp.big_f X2 BOUND_VARIABLE_655))) (= (not _let_1) (tptp.big_g BOUND_VARIABLE_653 Z)))))))))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (or))) (let ((_let_17 (not _let_13))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_15) :args (_let_17)) (REWRITE :args ((=> _let_17 (not (or _let_6 _let_11 _let_10 (not (forall ((BOUND_VARIABLE_653 $$unsorted) (BOUND_VARIABLE_655 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z))) (or (and (= _let_1 (tptp.big_g BOUND_VARIABLE_655 Z)) (tptp.big_f BOUND_VARIABLE_653 BOUND_VARIABLE_655) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_655))) (= (not _let_1) (tptp.big_g BOUND_VARIABLE_653 Z))))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_13))) (REFL :args (_let_14)) :args _let_16)) _let_15 :args (_let_14 true _let_13)))) (let ((_let_19 (REFL :args (_let_12)))) (let ((_let_20 (not _let_7))) (let ((_let_21 (and _let_5 _let_4))) (let ((_let_22 (or _let_21 (forall ((Z $$unsorted)) (= (not (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Z)))))) (let ((_let_23 (_let_8))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 0)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_16)) :args ((or _let_5 _let_12))) _let_18 :args (_let_5 true _let_12)))) (let ((_let_25 (_let_21))) (let ((_let_26 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f BOUND_VARIABLE_639 BOUND_VARIABLE_641) false))))) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_7))) :args ((or _let_6 _let_4 _let_20))) _let_24 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_25) (CONG (REFL :args _let_25) (REFL :args (_let_6)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_16)) :args ((or _let_6 _let_3 _let_21))) _let_24 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_23))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 3)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_16)) :args ((or _let_8 _let_12))) _let_18 :args (_let_8 true _let_12)) :args ((not _let_22) false _let_8)) :args ((not _let_21) true _let_22)) :args (_let_3 false _let_5 true _let_21)) :args (_let_20 false _let_5 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 2)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_2))) :args _let_16)) :args ((or _let_2 _let_12))) _let_18 :args (_let_2 true _let_12)) :args (false true _let_7 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for SYN354+1
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------