TSTP Solution File: COL002-10 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL002-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 : Wed Aug 30 18:22:52 EDT 2023
% Result : Unsatisfiable 27.30s 27.66s
% Output : Proof 27.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL002-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n016.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sun Aug 27 04:54:28 EDT 2023
% 0.17/0.36 % CPUTime :
% 0.21/0.55 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.0hqDb70jVi/cvc5---1.0.5_30414.p...
% 0.21/0.56 ------- get file name : TPTP file name is COL002-10
% 0.21/0.56 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30414.smt2...
% 0.21/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.52/10.83 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.55/15.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.36/20.93 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.61/25.99 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 27.30/27.66 % SZS status Unsatisfiable for COL002-10
% 27.30/27.66 % SZS output start Proof for COL002-10
% 27.30/27.66 (
% 27.30/27.66 (let ((_let_1 (forall ((X $$unsorted)) (let ((_let_1 (tptp.apply (tptp.apply tptp.s (tptp.apply tptp.b X)) tptp.i))) (not (= (tptp.fixed_point (tptp.apply _let_1 _let_1)) tptp.true)))))) (let ((_let_2 (forall ((Weak_sage $$unsorted)) (= (tptp.ifeq Weak_sage (tptp.apply tptp.fixed_pt Weak_sage) (tptp.fixed_point Weak_sage) tptp.true) tptp.true)))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.apply tptp.i X) X)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z) (tptp.apply X (tptp.apply Y Z)))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z) (tptp.apply (tptp.apply X Z) (tptp.apply Y Z)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_8 (tptp.apply tptp.b tptp.fixed_pt))) (let ((_let_9 (tptp.apply (tptp.apply tptp.s _let_8) tptp.i))) (let ((_let_10 (tptp.apply _let_9 _let_9))) (let ((_let_11 (tptp.fixed_point _let_10))) (let ((_let_12 (= _let_11 (tptp.ifeq _let_10 _let_10 _let_11 tptp.true)))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (tptp.apply tptp.i _let_9))) (let ((_let_15 (tptp.apply (tptp.apply _let_8 _let_9) _let_14))) (let ((_let_16 (= _let_15 (tptp.apply tptp.fixed_pt (tptp.apply _let_9 _let_14))))) (let ((_let_17 (= _let_9 _let_14))) (let ((_let_18 (= tptp.true (tptp.ifeq _let_10 (tptp.apply tptp.fixed_pt _let_10) _let_11 tptp.true)))) (let ((_let_19 (= _let_10 _let_15))) (let ((_let_20 (= tptp.true _let_11))) (let ((_let_21 (not _let_12))) (let ((_let_22 (_let_4))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (forall ((X $$unsorted)) (= X (tptp.apply tptp.i X))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (forall ((Weak_sage $$unsorted)) (= tptp.true (tptp.ifeq Weak_sage (tptp.apply tptp.fixed_pt Weak_sage) (tptp.fixed_point Weak_sage) tptp.true))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_5))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (forall ((X $$unsorted)) (let ((_let_1 (tptp.apply (tptp.apply tptp.s (tptp.apply tptp.b X)) tptp.i))) (not (= tptp.true (tptp.fixed_point (tptp.apply _let_1 _let_1)))))))) (let ((_let_31 (not _let_20))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (and _let_31 _let_19 _let_18 _let_17 _let_16))) (let ((_let_34 (ASSUME :args (_let_31)))) (let ((_let_35 (REFL :args (_let_11)))) (let ((_let_36 (ASSUME :args (_let_18)))) (let ((_let_37 (APPLY_UF tptp.apply))) (let ((_let_38 (ASSUME :args (_let_17)))) (let ((_let_39 (ASSUME :args (_let_16)))) (let ((_let_40 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (_let_10 _let_11 tptp.true QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_7))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_33)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_36 _let_38 _let_39 _let_40 _let_34) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (REFL :args (_let_10)) (TRANS (SYMM (SYMM _let_40)) (SYMM (SYMM _let_39)) (CONG (REFL :args (tptp.fixed_pt)) (CONG (REFL :args (_let_9)) (SYMM _let_38) :args _let_37) :args _let_37)) _let_35 (REFL :args (tptp.true)) :args (APPLY_UF tptp.ifeq)) (SYMM _let_36)) _let_35 :args (=)) (FALSE_INTRO _let_34)) :args ((= _let_12 false)))) :args (_let_18 _let_17 _let_16 _let_19 _let_31))) :args (_let_31 _let_19 _let_18 _let_17 _let_16))) :args (true _let_33)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_20))) (REFL :args ((not _let_19))) (REFL :args ((not _let_18))) (REFL :args ((not _let_17))) (REFL :args ((not _let_16))) (REFL :args (_let_21)) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.apply tptp.b X)))) :args (_let_30))) _let_32 :args (_let_31 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_8 tptp.i _let_9 QUANTIFIERS_INST_E_MATCHING ((tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z)))) :args _let_28)) _let_29 :args (_let_19 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.fixed_point Weak_sage)))) :args (_let_26))) _let_27 :args (_let_18 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_9 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_24))) _let_25 :args (_let_17 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.fixed_pt _let_9 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_22)) _let_23 :args (_let_16 false _let_4)) :args (_let_21 true _let_20 false _let_19 false _let_18 false _let_17 false _let_16)) _let_13 :args (false true _let_12 false _let_7)) :args (_let_6 _let_5 _let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.c X) Y) Z) (tptp.apply (tptp.apply X Z) Y))) _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))
% 27.30/27.67 )
% 27.30/27.67 % SZS output end Proof for COL002-10
% 27.30/27.67 % cvc5---1.0.5 exiting
% 27.30/27.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------