TSTP Solution File: COL002-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL002-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 1.74s 1.96s
% Output   : Proof 1.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COL002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n027.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun Aug 27 04:35:20 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ol4vdoghj0/cvc5---1.0.5_26486.p...
% 0.19/0.49  ------- get file name : TPTP file name is COL002-2
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26486.smt2...
% 0.19/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.74/1.96  % SZS status Unsatisfiable for COL002-2
% 1.74/1.96  % SZS output start Proof for COL002-2
% 1.74/1.96  (
% 1.74/1.96  (let ((_let_1 (forall ((X $$unsorted)) (let ((_let_1 (tptp.apply (tptp.apply tptp.s (tptp.apply tptp.b X)) tptp.i))) (not (tptp.fixed_point (tptp.apply _let_1 _let_1))))))) (let ((_let_2 (forall ((Weak_sage $$unsorted)) (or (not (= Weak_sage (tptp.apply tptp.fixed_pt Weak_sage))) (tptp.fixed_point Weak_sage))))) (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 $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z) (tptp.apply (tptp.apply X Z) (tptp.apply Y Z)))))) (let ((_let_6 (tptp.apply tptp.b tptp.fixed_pt))) (let ((_let_7 (tptp.apply (tptp.apply tptp.s _let_6) tptp.i))) (let ((_let_8 (tptp.apply tptp.i _let_7))) (let ((_let_9 (tptp.apply _let_6 _let_7))) (let ((_let_10 (tptp.apply _let_7 _let_7))) (let ((_let_11 (= _let_10 (tptp.apply _let_9 _let_8)))) (let ((_let_12 (tptp.apply tptp.fixed_pt _let_10))) (let ((_let_13 (= _let_10 _let_12))) (let ((_let_14 (= _let_12 (tptp.apply _let_9 _let_7)))) (let ((_let_15 (= _let_7 _let_8))) (let ((_let_16 (_let_5))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (tptp.fixed_point _let_10))) (let ((_let_19 (not _let_13))) (let ((_let_20 (or _let_19 _let_18))) (let ((_let_21 (_let_2))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (_let_1))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (_let_4))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (forall ((X $$unsorted)) (= X (tptp.apply tptp.i X))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (and _let_11 _let_14 _let_15))) (let ((_let_30 (ASSUME :args (_let_14)))) (let ((_let_31 (ASSUME :args (_let_15)))) (let ((_let_32 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_29)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_30 _let_31 _let_32) (SCOPE (TRANS (SYMM (SYMM _let_32)) (CONG (REFL :args (_let_9)) (SYMM _let_31) :args (APPLY_UF tptp.apply)) (SYMM _let_30)) :args (_let_14 _let_15 _let_11))) :args (_let_11 _let_14 _let_15))) :args (true _let_29)) :args ((or _let_13 (not _let_11) (not _let_14) (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.apply tptp.i X)))) :args (_let_27))) _let_28 :args (_let_15 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.fixed_pt _let_7 _let_7 QUANTIFIERS_INST_E_MATCHING ((tptp.apply X (tptp.apply Y Z))))) :args _let_25))) _let_26 :args (_let_14 false _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_18 _let_19 (not _let_20)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.apply tptp.b X)))) :args _let_23)) _let_24 :args ((not _let_18) false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.fixed_point Weak_sage) true))))) :args _let_21)) _let_22 :args (_let_20 false _let_2)) :args (_let_19 true _let_18 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_6 tptp.i _let_7 QUANTIFIERS_INST_E_MATCHING ((tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z)))) :args _let_16)) _let_17 :args (_let_11 false _let_5)) :args (false false _let_15 false _let_14 true _let_13 false _let_11)) :args (_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)))))))))))))))))))))))))))))))))))
% 1.74/1.96  )
% 1.74/1.97  % SZS output end Proof for COL002-2
% 1.74/1.97  % cvc5---1.0.5 exiting
% 1.74/1.97  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------