TSTP Solution File: SEU151+3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU151+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n010.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 16:29:36 EDT 2023

% Result   : Theorem 10.45s 10.63s
% Output   : Proof 10.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU151+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 23 18:51:51 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 10.45/10.63  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ePkN9nXyPT/cvc5---1.0.5_25755.p...
% 10.45/10.63  ------- get file name : TPTP file name is SEU151+3
% 10.45/10.63  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_25755.smt2...
% 10.45/10.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.45/10.63  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.45/10.63  % SZS status Theorem for SEU151+3
% 10.45/10.63  % SZS output start Proof for SEU151+3
% 10.45/10.63  (
% 10.45/10.63  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (= (tptp.unordered_pair A B) (tptp.unordered_pair C D)) (not (= A C)) (not (= A D)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= D A) (= D B)))))))) (let ((_let_3 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_4 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_3))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_4))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_10 (not _let_5))) (let ((_let_11 (or _let_10 _let_9 _let_8))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (= (tptp.unordered_pair A B) (tptp.unordered_pair C D))) (= A C) (= A D))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (or))) (let ((_let_16 (not _let_12))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_14) :args (_let_16))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_12))) (REFL :args (_let_13)) :args _let_15)) _let_14 :args (_let_13 true _let_12)))) (let ((_let_18 (or _let_9 _let_8))) (let ((_let_19 (= _let_6 _let_18))) (let ((_let_20 (not _let_6))) (let ((_let_21 (forall ((D $$unsorted)) (= (tptp.in D (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (or (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= A D) (= B D)))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 (_let_21))) (let ((_let_26 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_27 (not _let_18))) (let ((_let_28 (forall ((D $$unsorted)) (= (or (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.in D (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_29 (_let_28))) (let ((_let_30 (ASSUME :args (_let_7)))) (let ((_let_31 (ASSUME :args (_let_5)))) (let ((_let_32 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_30 _let_31 _let_32) :args (_let_5 _let_20 _let_7)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_32)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (SYMM _let_31) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_30))) :args (_let_7 _let_5 _let_20)) :args ((not (and _let_5 _let_20 _let_7)) SB_LITERAL))) (CONG (REFL :args (_let_10)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_6))) (REFL :args ((not _let_7))) :args _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args _let_26) :args _let_29))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_24))) _let_23 :args (_let_28 false _let_22)) :args (_let_7 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or _let_18 _let_20 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_9 _let_8 _let_27))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 1)) _let_17 :args ((not _let_9) true _let_11)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_11 2)) _let_17 :args ((not _let_8) true _let_11)) :args (_let_27 true _let_9 true _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_25) :args _let_26) :args _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_24))) _let_23 :args (_let_21 false _let_22)) :args (_let_19 false _let_21)) :args (_let_20 true _let_18 false _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_11 0)) (CONG (REFL :args (_let_11)) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_5))) :args _let_15)) :args ((or _let_5 _let_11))) _let_17 :args (_let_5 true _let_11)) :args (false false _let_7 true _let_6 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true)))))))))))))))))))))))))))))))))))
% 10.45/10.63  )
% 10.45/10.63  % SZS output end Proof for SEU151+3
% 10.45/10.63  % cvc5---1.0.5 exiting
% 10.45/10.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------