TSTP Solution File: COL002-5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL002-5 : TPTP v8.1.2. Bugfixed v3.1.0.
% 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 : Wed Aug 30 18:22:52 EDT 2023
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : COL002-5 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 05:17:47 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.5YYiWn670T/cvc5---1.0.5_26767.p...
% 0.21/0.50 ------- get file name : TPTP file name is COL002-5
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26767.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Unsatisfiable for COL002-5
% 0.21/0.53 % SZS output start Proof for COL002-5
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (tptp.weak_fixed_point tptp.fixed_pt))) (let ((_let_2 (= _let_1 (tptp.apply tptp.fixed_pt _let_1)))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((X $$unsorted)) (let ((_let_1 (tptp.apply tptp.s (tptp.apply tptp.c (tptp.apply tptp.b X))))) (= (tptp.weak_fixed_point X) (tptp.apply (tptp.apply _let_1 _let_1) _let_1)))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.c X) Y) Z) (tptp.apply (tptp.apply X Z) Y))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z) (tptp.apply X (tptp.apply Y Z)))))) (let ((_let_7 (forall ((X $$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_8 (tptp.apply tptp.b tptp.fixed_pt))) (let ((_let_9 (tptp.apply tptp.c _let_8))) (let ((_let_10 (tptp.apply tptp.s _let_9))) (let ((_let_11 (tptp.apply _let_10 _let_10))) (let ((_let_12 (tptp.apply (tptp.apply _let_8 _let_11) _let_10))) (let ((_let_13 (tptp.apply (tptp.apply _let_9 _let_10) _let_11))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (_let_5))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (tptp.apply _let_11 _let_10))) (let ((_let_18 (= _let_12 (tptp.apply tptp.fixed_pt _let_17)))) (let ((_let_19 (= _let_17 _let_13))) (let ((_let_20 (= _let_1 _let_17))) (let ((_let_21 (not _let_14))) (let ((_let_22 (_let_6))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (_let_7))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (_let_4))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (ASSUME :args (_let_3)))) (let ((_let_29 (and _let_3 _let_20 _let_19 _let_18))) (let ((_let_30 (ASSUME :args (_let_20)))) (let ((_let_31 (SYMM _let_30))) (let ((_let_32 (ASSUME :args (_let_18)))) (let ((_let_33 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_8 _let_10 _let_11 QUANTIFIERS_INST_E_MATCHING ((tptp.apply (tptp.apply (tptp.apply tptp.c X) Y) Z)))) :args _let_15)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_29)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_30 _let_33 _let_28 _let_32) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM _let_33) _let_31) (TRANS (SYMM (SYMM _let_32)) (CONG (REFL :args (tptp.fixed_pt)) _let_31 :args (APPLY_UF tptp.apply))) :args (=)) (FALSE_INTRO _let_28))) :args (_let_20 _let_19 _let_3 _let_18))) :args (_let_3 _let_20 _let_19 _let_18))) :args (true _let_29)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args ((not _let_20))) (REFL :args ((not _let_19))) (REFL :args ((not _let_18))) (REFL :args (_let_21)) :args (or))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.weak_fixed_point X)))) :args _let_26)) _let_27 :args (_let_20 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_9 _let_10 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z)))) :args _let_24)) _let_25 :args (_let_19 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.fixed_pt _let_11 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.apply X (tptp.apply Y Z))))) :args _let_22)) _let_23 :args (_let_18 false _let_6)) :args (_let_21 true _let_2 false _let_20 false _let_19 false _let_18)) _let_16 :args (false true _let_14 false _let_5)) :args (_let_7 _let_6 _let_5 (forall ((X $$unsorted)) (= (tptp.apply tptp.i X) X)) _let_4 _let_3))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for COL002-5
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------