TSTP Solution File: COL002-4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL002-4 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 0.19s 0.52s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL002-4 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.03/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 04:18:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QAbbYAm68Q/cvc5---1.0.5_18838.p...
% 0.19/0.49 ------- get file name : TPTP file name is COL002-4
% 0.19/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18838.smt2...
% 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.52 % SZS status Unsatisfiable for COL002-4
% 0.19/0.52 % SZS output start Proof for COL002-4
% 0.19/0.53 (
% 0.19/0.53 (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 $$unsorted)) (let ((_let_1 (tptp.apply (tptp.apply tptp.s (tptp.apply tptp.b X)) tptp.i))) (= (tptp.weak_fixed_point X) (tptp.apply _let_1 _let_1)))))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.apply tptp.i X) X)))) (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.apply tptp.s _let_8) tptp.i))) (let ((_let_10 (tptp.apply _let_9 _let_9))) (let ((_let_11 (= _let_1 _let_10))) (let ((_let_12 (tptp.apply tptp.i _let_9))) (let ((_let_13 (tptp.apply _let_8 _let_9))) (let ((_let_14 (= _let_10 (tptp.apply _let_13 _let_12)))) (let ((_let_15 (= (tptp.apply _let_13 _let_9) (tptp.apply tptp.fixed_pt _let_10)))) (let ((_let_16 (= _let_9 _let_12))) (let ((_let_17 (_let_4))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (_let_7))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (_let_6))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (forall ((X $$unsorted)) (= X (tptp.apply tptp.i X))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (and _let_11 _let_14 _let_15 _let_16))) (let ((_let_26 (APPLY_UF tptp.apply))) (let ((_let_27 (ASSUME :args (_let_11)))) (let ((_let_28 (ASSUME :args (_let_15)))) (let ((_let_29 (ASSUME :args (_let_16)))) (let ((_let_30 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_25)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_27 _let_28 _let_29 _let_30) (SCOPE (TRANS _let_27 (SYMM (SYMM _let_30)) (CONG (REFL :args (_let_13)) (SYMM _let_29) :args _let_26) (SYMM (SYMM _let_28)) (CONG (REFL :args (tptp.fixed_pt)) (SYMM _let_27) :args _let_26)) :args (_let_11 _let_15 _let_16 _let_14))) :args (_let_11 _let_14 _let_15 _let_16))) :args (true _let_25)) :args ((or _let_2 (not _let_11) (not _let_14) (not _let_15) (not _let_16)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.apply tptp.i X)))) :args (_let_23))) _let_24 :args (_let_16 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.fixed_pt _let_9 _let_9 QUANTIFIERS_INST_E_MATCHING ((tptp.apply X (tptp.apply Y Z))))) :args _let_21)) _let_22 :args (_let_15 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_8 tptp.i _let_9 QUANTIFIERS_INST_E_MATCHING ((tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z)))) :args _let_19)) _let_20 :args (_let_14 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.weak_fixed_point X)))) :args _let_17)) _let_18 :args (_let_11 false _let_4)) (ASSUME :args (_let_3)) :args (false false _let_16 false _let_15 false _let_14 false _let_11 true _let_2)) :args (_let_7 _let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.c X) Y) Z) (tptp.apply (tptp.apply X Z) Y))) _let_5 _let_4 _let_3)))))))))))))))))))))))))))))))))
% 0.19/0.53 )
% 0.19/0.53 % SZS output end Proof for COL002-4
% 0.19/0.53 % cvc5---1.0.5 exiting
% 0.19/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------