TSTP Solution File: KRS074+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 05:41:20 EDT 2023

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n013.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   : Mon Aug 28 02:11:47 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.pM8UjHmQp5/cvc5---1.0.5_14494.p...
% 0.21/0.49  ------- get file name : TPTP file name is KRS074+1
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14494.smt2...
% 0.21/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52  % SZS status Unsatisfiable for KRS074+1
% 0.21/0.52  % SZS output start Proof for KRS074+1
% 0.21/0.52  (
% 0.21/0.52  (let ((_let_1 (tptp.cUnsatisfiable tptp.i2003_11_14_17_18_59896))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (exists ((Y $$unsorted)) (and (tptp.rs X Y) (tptp.cp Y) (exists ((Z $$unsorted)) (and (tptp.rinvS Y Z) (tptp.cp Z))))) (forall ((Y $$unsorted)) (=> (tptp.rs X Y) (not (tptp.cp Y))))))))) (let ((_let_3 (forall ((Y $$unsorted)) (or (not (tptp.rs tptp.i2003_11_14_17_18_59896 Y)) (not (tptp.cp Y)))))) (let ((_let_4 (tptp.cp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.rs tptp.i2003_11_14_17_18_59896 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (forall ((Y $$unsorted) (BOUND_VARIABLE_1203 $$unsorted)) (or (not (tptp.rs tptp.i2003_11_14_17_18_59896 Y)) (not (tptp.cp Y)) (not (tptp.rinvS Y BOUND_VARIABLE_1203)) (not (tptp.cp BOUND_VARIABLE_1203)))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (and _let_10 _let_3))) (let ((_let_12 (= _let_1 _let_11))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.cUnsatisfiable X) (and (not (forall ((Y $$unsorted) (BOUND_VARIABLE_1203 $$unsorted)) (or (not (tptp.rs X Y)) (not (tptp.cp Y)) (not (tptp.rinvS Y BOUND_VARIABLE_1203)) (not (tptp.cp BOUND_VARIABLE_1203))))) (forall ((Y $$unsorted)) (or (not (tptp.rs X Y)) (not (tptp.cp Y))))))))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_12)) :args ((or (not _let_1) _let_11 (not _let_12)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.i2003_11_14_17_18_59896 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cUnsatisfiable X)))) :args (_let_13))) _let_14 :args (_let_12 false _let_13)) :args (_let_11 false _let_1 false _let_12)))) (let ((_let_16 (not _let_11))) (let ((_let_17 (not _let_8))) (let ((_let_18 (or _let_7 _let_5 (not (tptp.rinvS SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.cp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or))) (let ((_let_21 (_let_10))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_21)) :args _let_21)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) (REFL :args (_let_19)) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_10 _let_16))) _let_15 :args (_let_10 false _let_11)) :args (_let_19 true _let_9)))) (let ((_let_23 (REFL :args (_let_18)))) (let ((_let_24 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_24) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rs tptp.i2003_11_14_17_18_59896 Y) false))))) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_20)) :args ((or _let_6 _let_18))) _let_22 :args (_let_6 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_20)) :args ((or _let_4 _let_18))) _let_22 :args (_let_4 true _let_18)) :args (_let_17 false _let_6 false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_3 _let_16))) _let_15 :args (_let_3 false _let_11)) :args (false true _let_8 false _let_3)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cUnsatisfiable A)) (tptp.cUnsatisfiable B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlNothing A)) (tptp.cowlNothing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cowlThing A)) (tptp.cowlThing B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.cp A)) (tptp.cp B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf A C)) (tptp.rf B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf C A)) (tptp.rf C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf1 A C)) (tptp.rf1 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rf1 C A)) (tptp.rf1 C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF A C)) (tptp.rinvF B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF C A)) (tptp.rinvF C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF1 A C)) (tptp.rinvF1 B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvF1 C A)) (tptp.rinvF1 C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvS A C)) (tptp.rinvS B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rinvS C A)) (tptp.rinvS C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rs A C)) (tptp.rs B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A B) (tptp.rs C A)) (tptp.rs C B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_integer A)) (tptp.xsd_integer B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (= A B) (tptp.xsd_string A)) (tptp.xsd_string B))) (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))) _let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf X Y) (tptp.rf X Z)) (= Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rf1 X Y) (tptp.rf1 X Z)) (= Y Z))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF X Y) (tptp.rf Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvF1 X Y) (tptp.rf1 Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rinvS X Y) (tptp.rs Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.rs X Y) (tptp.rs X Z)) (= Y Z))) _let_1 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rs X Y) (tptp.rf1 X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rs X Y) (tptp.rf X Y))))))))))))))))))))))))))))))
% 0.21/0.52  )
% 0.21/0.52  % SZS output end Proof for KRS074+1
% 0.21/0.52  % cvc5---1.0.5 exiting
% 0.21/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------