TSTP Solution File: REL008+3 by cvc5---1.0.5

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : REL008+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 13:36:36 EDT 2023

% Result   : Theorem 61.21s 61.70s
% Output   : Proof 61.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : REL008+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri Aug 25 21:52:33 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 61.21/61.70  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.fPdkrSIRB9/cvc5---1.0.5_29805.p...
% 61.21/61.70  ------- get file name : TPTP file name is REL008+3
% 61.21/61.70  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29805.smt2...
% 61.21/61.70  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 61.21/61.70  --- Run --no-e-matching --full-saturate-quant at 5...
% 61.21/61.70  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 61.21/61.70  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 61.21/61.70  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 61.21/61.70  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 61.21/61.70  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 61.21/61.70  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 61.21/61.70  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 61.21/61.70  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 61.21/61.70  --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.21/61.70  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 61.21/61.70  % SZS status Theorem for REL008+3
% 61.21/61.70  % SZS output start Proof for REL008+3
% 61.21/61.70  (
% 61.21/61.70  (let ((_let_1 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.composition X0 (tptp.join X1 X2)) (tptp.join (tptp.composition X0 X1) (tptp.composition X0 X2)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.converse (tptp.composition X0 X1)) (tptp.composition (tptp.converse X1) (tptp.converse X0)))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.converse (tptp.join X0 X1)) (tptp.join (tptp.converse X0) (tptp.converse X1)))))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.converse (tptp.converse X0)) X0)))) (let ((_let_6 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.composition (tptp.join X0 X1) X2) (tptp.join (tptp.composition X0 X2) (tptp.composition X1 X2)))))) (let ((_let_7 (tptp.composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.join _let_8 _let_7))) (let ((_let_10 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.composition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (tptp.converse _let_7))) (let ((_let_14 (tptp.converse _let_8))) (let ((_let_15 (tptp.converse _let_9))) (let ((_let_16 (= _let_15 (tptp.join _let_14 _let_13)))) (let ((_let_17 (tptp.converse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.converse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (tptp.composition _let_18 _let_17))) (let ((_let_20 (= _let_14 _let_19))) (let ((_let_21 (tptp.converse _let_10))) (let ((_let_22 (tptp.converse _let_11))) (let ((_let_23 (= _let_22 (tptp.composition _let_21 _let_17)))) (let ((_let_24 (tptp.converse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (tptp.join _let_18 _let_24))) (let ((_let_26 (= _let_21 _let_25))) (let ((_let_27 (= _let_9 (tptp.converse _let_15)))) (let ((_let_28 (tptp.composition _let_24 _let_17))) (let ((_let_29 (= _let_13 _let_28))) (let ((_let_30 (= (tptp.composition _let_25 _let_17) (tptp.join _let_19 _let_28)))) (let ((_let_31 (= _let_11 (tptp.converse _let_22)))) (let ((_let_32 (not _let_12))) (let ((_let_33 (_let_2))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (or))) (let ((_let_36 (_let_32))) (let ((_let_37 (_let_4))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (_let_3))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (forall ((X0 $$unsorted)) (= X0 (tptp.converse (tptp.converse X0)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 (_let_6))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (not _let_31))) (let ((_let_47 (_let_46))) (let ((_let_48 (ASSUME :args (_let_31)))) (let ((_let_49 (ASSUME :args _let_36))) (let ((_let_50 (ASSUME :args (_let_27)))) (let ((_let_51 (ASSUME :args (_let_16)))) (let ((_let_52 (ASSUME :args (_let_29)))) (let ((_let_53 (ASSUME :args (_let_20)))) (let ((_let_54 (ASSUME :args (_let_30)))) (let ((_let_55 (ASSUME :args (_let_26)))) (let ((_let_56 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_48 (MODUS_PONENS (AND_INTRO _let_49 _let_50 _let_51 _let_53 _let_52 _let_54 _let_55 _let_56) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_11)) (TRANS (CONG (TRANS (SYMM (SYMM _let_56)) (CONG (SYMM (SYMM _let_55)) (REFL :args (_let_17)) :args (APPLY_UF tptp.composition)) (SYMM (SYMM _let_54)) (CONG (SYMM _let_53) (SYMM _let_52) :args (APPLY_UF tptp.join)) (SYMM _let_51)) :args (APPLY_UF tptp.converse)) (SYMM _let_50)) :args (=)) (FALSE_INTRO _let_49))) :args (_let_32 _let_27 _let_16 _let_20 _let_29 _let_30 _let_26 _let_23)))) :args (_let_32 _let_16 _let_20 _let_23 _let_26 _let_27 _let_29 _let_30 _let_31)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_47))) (TRUE_INTRO (SYMM (SYMM _let_48))))) :args (_let_31 _let_46)) :args ((not (and _let_32 _let_16 _let_20 _let_23 _let_26 _let_27 _let_29 _let_30 _let_31)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_12))) (REFL :args ((not _let_16))) (REFL :args ((not _let_20))) (REFL :args ((not _let_23))) (REFL :args ((not _let_26))) (REFL :args ((not _let_27))) (REFL :args ((not _let_29))) (REFL :args ((not _let_30))) (REFL :args _let_47) :args _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_43)) _let_42 :args (_let_31 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_18 _let_24 _let_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_44)) _let_45 :args (_let_30 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_39)) _let_40 :args (_let_29 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_43)) _let_42 :args (_let_27 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_37)) _let_38 :args (_let_26 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_40 :args (_let_23 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_40 :args (_let_20 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_8 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_37)) _let_38 :args (_let_16 false _let_4)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_34) :args _let_33)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_36) :args _let_35)) _let_34 :args (_let_32 true _let_1)) :args (false false _let_31 false _let_30 false _let_29 false _let_27 false _let_26 false _let_23 false _let_20 false _let_16 true _let_12)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.join X0 X1) (tptp.join X1 X0))) (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.join X0 (tptp.join X1 X2)) (tptp.join (tptp.join X0 X1) X2))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.complement X0))) (= X0 (tptp.join (tptp.complement (tptp.join _let_1 (tptp.complement X1))) (tptp.complement (tptp.join _let_1 X1)))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.meet X0 X1) (tptp.complement (tptp.join (tptp.complement X0) (tptp.complement X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.composition X0 (tptp.composition X1 X2)) (tptp.composition (tptp.composition X0 X1) X2))) (forall ((X0 $$unsorted)) (= (tptp.composition X0 tptp.one) X0)) _let_6 _let_5 _let_4 _let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.complement X1))) (= (tptp.join (tptp.composition (tptp.converse X0) (tptp.complement (tptp.composition X0 X1))) _let_1) _let_1))) (forall ((X0 $$unsorted)) (= tptp.top (tptp.join X0 (tptp.complement X0)))) (forall ((X0 $$unsorted)) (= tptp.zero (tptp.meet X0 (tptp.complement X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.composition (tptp.meet X0 (tptp.composition X2 (tptp.converse X1))) (tptp.meet X1 (tptp.composition (tptp.converse X0) X2))))) (= (tptp.join (tptp.meet (tptp.composition X0 X1) X2) _let_1) _let_1))) (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.meet (tptp.composition X0 (tptp.meet X1 (tptp.composition (tptp.converse X0) X2))) X2))) (= (tptp.join (tptp.meet (tptp.composition X0 X1) X2) _let_1) _let_1))) (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.meet (tptp.composition (tptp.meet X0 (tptp.composition X2 (tptp.converse X1))) X1) X2))) (= (tptp.join (tptp.meet (tptp.composition X0 X1) X2) _let_1) _let_1))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 61.21/61.70  )
% 61.21/61.70  % SZS output end Proof for REL008+3
% 61.21/61.70  % cvc5---1.0.5 exiting
% 61.21/61.70  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------