TSTP Solution File: KRS171+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KRS171+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS171+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 02:01:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.EZ5Ah805HL/cvc5---1.0.5_2670.p...
% 0.21/0.52 ------- get file name : TPTP file name is KRS171+1
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2670.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for KRS171+1
% 0.21/0.52 % SZS output start Proof for KRS171+1
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.rhasLeader X Y) (tptp.rhasHead X Y))))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_3 (not (and (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))) _let_2 _let_1)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rhasLeader X Y) (tptp.rhasHead X Y))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.rhasHead X Y) (tptp.rhasLeader X Y))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.xsd_string X) (not (tptp.xsd_integer X)))))) (let ((_let_7 (forall ((X $$unsorted)) (and (tptp.cowlThing X) (not (tptp.cowlNothing X)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rhasLeader X Y)) (tptp.rhasHead X Y))))) (let ((_let_9 (tptp.rhasHead SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.rhasLeader SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_9))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (= _let_10 _let_9))) (let ((_let_16 (not _let_9))) (let ((_let_17 (or _let_16 _let_10))) (let ((_let_18 (not _let_15))) (let ((_let_19 (forall ((BOUND_VARIABLE_658 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_658))))) (let ((_let_20 (forall ((BOUND_VARIABLE_653 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_653)))) (let ((_let_21 (not _let_1))) (let ((_let_22 (forall ((BOUND_VARIABLE_637 $$unsorted)) (not (tptp.cowlNothing BOUND_VARIABLE_637))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (forall ((BOUND_VARIABLE_632 $$unsorted)) (tptp.cowlThing BOUND_VARIABLE_632)))) (let ((_let_25 (_let_21))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_25)) :args _let_25)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_1))) (REFL :args (_let_18)) :args (or))) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_6 (= X X)))) :args ((or _let_2 (not _let_6)))) (ASSUME :args (_let_6)) :args (_let_2 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_24 (= BOUND_VARIABLE_632 BOUND_VARIABLE_653)))) :args ((or _let_20 (not _let_24)))) (AND_ELIM _let_23 :args (0)) :args (_let_20 false _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_22 (= BOUND_VARIABLE_637 BOUND_VARIABLE_658)))) :args ((or _let_19 (not _let_22)))) (AND_ELIM _let_23 :args (1)) :args (_let_19 false _let_22)) :args (_let_21 false _let_2 false _let_20 false _let_19)) :args (_let_18 true _let_1)))) (let ((_let_27 (_let_15))) (let ((_let_28 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.rhasHead X Y)) (tptp.rhasLeader X Y))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_10 _let_16 (not _let_17)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rhasHead X Y) false))))) :args (_let_28))) _let_29 :args (_let_17 false _let_28)) (REORDERING (CNF_EQUIV_NEG1 :args _let_27) :args ((or _let_10 _let_9 _let_15))) _let_26 :args (_let_10 false _let_17 false _let_9 true _let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.rhasLeader X Y) false))))) :args (_let_8))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_9 _let_11 _let_14))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_27) _let_26 _let_30 :args (_let_16 true _let_15 false _let_10)) _let_30 :args (_let_14 true _let_9 false _let_10)) _let_13 :args (false true _let_12 false _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_3 true)))))))))))))))))))))))))))))))))
% 0.21/0.52 )
% 0.21/0.52 % SZS output end Proof for KRS171+1
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------