TSTP Solution File: LCL678+1.001 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL678+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 07:03:08 EDT 2023
% Result : Theorem 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL678+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.19/0.36 % Computer : n008.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Thu Aug 24 20:27:47 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.u9bz0mRZvx/cvc5---1.0.5_30763.p...
% 0.22/0.53 ------- get file name : TPTP file name is LCL678+1.001
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30763.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Theorem for LCL678+1.001
% 0.22/0.53 % SZS output start Proof for LCL678+1.001
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or false (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) false (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))))))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.r1 X X)))) (let ((_let_3 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Y)) (tptp.p1 Y))))) (let ((_let_4 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_5 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (not _let_3))) (let ((_let_9 (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) _let_8 _let_6 _let_4))) (let ((_let_10 (forall ((X $$unsorted) (BOUND_VARIABLE_635 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))) (not (tptp.r1 X BOUND_VARIABLE_635)) (tptp.p1 BOUND_VARIABLE_635))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (not _let_10))) (let ((_let_13 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_635 $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))) (not (tptp.r1 X BOUND_VARIABLE_635)) (tptp.p1 BOUND_VARIABLE_635)))))))) (let ((_let_17 (forall ((X $$unsorted)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted) (BOUND_VARIABLE_635 $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))) (not (tptp.r1 X BOUND_VARIABLE_635)) (tptp.p1 BOUND_VARIABLE_635)))))))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (or))) (let ((_let_20 (_let_16))) (let ((_let_21 (not _let_17))) (let ((_let_22 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_23 (_let_2))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (_let_12))) (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_12) _let_10))) (REFL :args (_let_11)) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args _let_22) :args _let_23)) _let_24 :args (_let_13 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_20) :args _let_22) :args _let_20)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_18) :args (_let_21)) (REWRITE :args ((=> _let_21 (not (not _let_16))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args _let_20) :args _let_19)) _let_18 :args (_let_16 true _let_17)) :args (_let_15 false _let_16)) :args (_let_12 false _let_13 false _let_15)) :args (_let_11 true _let_10)))) (let ((_let_27 (REFL :args (_let_9)))) (let ((_let_28 (not _let_7))) (let ((_let_29 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Y) false))))) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 _let_28))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 2)) (CONG _let_27 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_19)) :args ((or _let_5 _let_9))) _let_26 :args (_let_5 true _let_9)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_9 3)) _let_26 :args ((not _let_4) true _let_9)) :args (_let_28 false _let_5 true _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 1)) (CONG _let_27 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_3))) :args _let_19)) :args ((or _let_3 _let_9))) _let_26 :args (_let_3 true _let_9)) :args (false true _let_7 false _let_3)) :args (_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.r1 X Y) (tptp.r1 Y Z)) (tptp.r1 X Z))) _let_1 true))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for LCL678+1.001
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------