TSTP Solution File: KRS170+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS170+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 05:41:42 EDT 2023
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS170+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n020.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 : Mon Aug 28 01:56:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.2oDufyByRa/cvc5---1.0.5_18282.p...
% 0.20/0.52 ------- get file name : TPTP file name is KRS170+1
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18282.smt2...
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Theorem for KRS170+1
% 0.20/0.52 % SZS output start Proof for KRS170+1
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_2 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_1 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rhasLeader X Y) (tptp.rhasHead X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rhasHead X Y) (tptp.rhasLeader X Y))))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rhasLeader X Y) (tptp.rhasHead X Y))))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_5 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_6 (tptp.rhasLeader SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.rhasHead SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (_let_3))) (let ((_let_10 (ASSUME :args _let_9))) (let ((_let_11 ((tptp.rhasLeader X Y)))) (let ((_let_12 (not _let_7))) (let ((_let_13 (or _let_12 _let_6))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rhasHead X Y)) (tptp.rhasLeader X Y))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (forall ((BOUND_VARIABLE_650 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_650))))) (let ((_let_17 (forall ((BOUND_VARIABLE_645 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_645)))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rhasLeader X Y)) (tptp.rhasHead X Y))))) (let ((_let_19 (not _let_14))) (let ((_let_20 (forall ((BOUND_VARIABLE_637 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_637))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (forall ((BOUND_VARIABLE_632 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_632)))) (let ((_let_23 (tptp.rhasHead SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (tptp.rhasLeader SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23))) (let ((_let_27 (= _let_24 _let_23))) (let ((_let_28 (or))) (let ((_let_29 (not _let_18))) (let ((_let_30 (_let_29))) (let ((_let_31 (_let_19))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_31)) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_14))) (REFL :args (_let_15)) :args _let_28)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_4 (= X X)))) :args ((or _let_1 (not _let_4)))) (ASSUME :args (_let_4)) :args (_let_1 false _let_4)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_30)) :args _let_30)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_18))) (REFL :args ((not _let_26))) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_27)) :args ((or _let_25 _let_23 (not _let_27)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_11)) :args _let_9)) _let_10 :args (_let_27 false _let_3)) (CNF_OR_NEG :args (_let_26 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_28)) :args ((or _let_24 _let_26))) :args (_let_26 false _let_27 true _let_23 false _let_24)) :args (_let_18 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_22 (= BOUND_VARIABLE_632 BOUND_VARIABLE_645)))) :args ((or _let_17 (not _let_22)))) (AND_ELIM _let_21 :args (0)) :args (_let_17 false _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_20 (= BOUND_VARIABLE_637 BOUND_VARIABLE_650)))) :args ((or _let_16 (not _let_20)))) (AND_ELIM _let_21 :args (1)) :args (_let_16 false _let_20)) :args (_let_19 false _let_1 false _let_18 false _let_17 false _let_16)) :args (_let_15 true _let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_8)) :args ((or _let_12 _let_6 (not _let_8)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 1)) _let_32 :args ((not _let_6) true _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG (REFL :args (_let_13)) (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_7))) :args _let_28)) :args ((or _let_7 _let_13))) _let_32 :args (_let_7 true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_10 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_11)) :args _let_9))) _let_10 :args (_let_8 false _let_3)) :args (false true _let_6 false _let_7 false _let_8)) :args (_let_5 _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for KRS170+1
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------