TSTP Solution File: SWW588_2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW588_2 : TPTP v8.1.2. Released v6.1.0.
% 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 : Fri Sep 1 00:21:37 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW588_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 19:10:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_ARI
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.RMzBXi1s88/cvc5---1.0.5_8907.p...
% 0.21/0.54 ------- get file name : TPTP file name is SWW588_2
% 0.21/0.54 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8907.smt2...
% 0.21/0.54 --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.54 % SZS status Theorem for SWW588_2
% 0.21/0.54 % SZS output start Proof for SWW588_2
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (not (forall ((A Int) (B Int)) (let ((_let_1 (<= 0 A))) (=> (and _let_1 (< 0 B)) (and (= (+ (* 0 B) A) A) _let_1 (forall ((R Int) (Q Int)) (let ((_let_1 (<= B R))) (=> (and (= (+ (* Q B) R) A) (<= 0 R)) (and (=> _let_1 (forall ((Q1 Int)) (=> (= Q1 (+ Q 1)) (forall ((R1 Int)) (=> (= R1 (- R B)) (and (= (+ (* Q1 B) R1) A) (<= 0 R1) (<= 0 R) (< R1 R))))))) (=> (not _let_1) (exists ((R1 Int)) (and (= (+ (* Q B) R1) A) (<= 0 R1) (< R1 B))))))))))))))) (let ((_let_2 (* (- 1) (* SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_3 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_2) 0))) (let ((_let_4 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 1))) (let ((_let_5 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_2) 0))) (let ((_let_6 (and _let_5 _let_3 _let_4))) (let ((_let_7 (not _let_5))) (let ((_let_8 (and _let_3 _let_7))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (or _let_7 _let_6))) (let ((_let_11 (and _let_10 _let_9))) (let ((_let_12 (not _let_3))) (let ((_let_13 (or _let_12 _let_11))) (let ((_let_14 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 0))) (let ((_let_15 (and _let_14 _let_13))) (let ((_let_16 (not _let_13))) (let ((_let_17 (not _let_4))) (let ((_let_18 (not _let_14))) (let ((_let_19 (or _let_18 _let_17 _let_15))) (let ((_let_20 (forall ((A Int) (B Int) (BOUND_VARIABLE_967 Int)) (let ((_let_1 (* (- 1) (* B BOUND_VARIABLE_967)))) (let ((_let_2 (>= (+ A (* (- 1) B) _let_1) 0))) (let ((_let_3 (not _let_2))) (let ((_let_4 (>= (+ A _let_1) 0))) (let ((_let_5 (>= B 1))) (let ((_let_6 (>= A 0))) (or (not _let_6) (not _let_5) (and _let_6 (or (not _let_4) (and (or _let_3 (and _let_2 _let_4 _let_5)) (or _let_2 (and _let_4 _let_3))))))))))))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (REFL :args (_let_19)))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_15)) :args ((or _let_18 _let_15 _let_16))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_14))) :args _let_23)) :args ((or _let_14 _let_19))) _let_25 :args (_let_14 true _let_19)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 2)) _let_25 :args ((not _let_15) true _let_19)) :args (_let_16 false _let_14 true _let_15)))) (let ((_let_28 (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_3))) :args _let_23)) :args ((or _let_3 _let_13))) _let_27 :args (_let_3 true _let_13)))) (let ((_let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_5))))) (let ((_let_30 (_let_8))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_11)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 1)) _let_27 :args ((not _let_11) true _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_30) (CONG (REFL :args _let_30) (REFL :args (_let_12)) _let_29 :args _let_23)) :args ((or _let_12 _let_5 _let_8))) _let_28 (CNF_OR_NEG :args (_let_9 1)) (REORDERING (CNF_OR_NEG :args (_let_9 0)) :args ((or _let_7 _let_9))) :args (_let_9 false _let_3 true _let_8 true _let_5)) :args ((not _let_10) true _let_11 false _let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_6)) :args ((or _let_17 _let_12 _let_7 _let_6))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_10 1)) _let_31 :args ((not _let_6) true _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 0)) (CONG (REFL :args (_let_10)) _let_29 :args _let_23)) :args ((or _let_5 _let_10))) _let_31 :args (_let_5 true _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_4))) :args _let_23)) :args ((or _let_4 _let_19))) _let_25 :args (_let_4 true _let_19)) _let_28 :args (false true _let_6 false _let_5 false _let_4 false _let_3)) :args ((forall ((A tptp.ty)) (tptp.sort1 A (tptp.witness1 A))) (forall ((A tptp.ty) (X tptp.bool1) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 A (tptp.match_bool1 A X X1 X2))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z) (= (tptp.match_bool1 A tptp.true1 Z Z1) Z))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z1) (= (tptp.match_bool1 A tptp.false1 Z Z1) Z1))) (not (= tptp.true1 tptp.false1)) (forall ((U tptp.bool1)) (or (= U tptp.true1) (= U tptp.false1))) (forall ((U tptp.tuple02)) (= U tptp.tuple03)) (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.ref A) (tptp.mk_ref A X))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.contents A X))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 A U) (= (tptp.contents A (tptp.mk_ref A U)) U))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 (tptp.ref A) U) (= U (tptp.mk_ref A (tptp.contents A U))))) _let_1 true))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SWW588_2
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------