TSTP Solution File: COL001-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n001.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 18:22:51 EDT 2023

% Result   : Unsatisfiable 1.66s 1.89s
% Output   : Proof 1.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COL001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 05:15:02 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GMPJqt6yYA/cvc5---1.0.5_2619.p...
% 0.21/0.50  ------- get file name : TPTP file name is COL001-2
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2619.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.66/1.89  % SZS status Unsatisfiable for COL001-2
% 1.66/1.89  % SZS output start Proof for COL001-2
% 1.66/1.89  (
% 1.66/1.89  (let ((_let_1 (forall ((Y $$unsorted)) (not (= Y (tptp.apply tptp.combinator Y)))))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.apply tptp.i X) X)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z) (tptp.apply X (tptp.apply Y Z)))))) (let ((_let_4 (forall ((X $$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_5 (tptp.apply tptp.b tptp.combinator))) (let ((_let_6 (tptp.apply (tptp.apply tptp.s _let_5) tptp.i))) (let ((_let_7 (tptp.apply tptp.i _let_6))) (let ((_let_8 (tptp.apply _let_6 _let_7))) (let ((_let_9 (tptp.apply tptp.combinator _let_8))) (let ((_let_10 (= _let_8 _let_9))) (let ((_let_11 (_let_1))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (= _let_6 _let_7))) (let ((_let_14 (tptp.apply (tptp.apply _let_5 _let_6) _let_7))) (let ((_let_15 (= _let_14 _let_9))) (let ((_let_16 (= (tptp.apply _let_6 _let_6) _let_14))) (let ((_let_17 (forall ((X $$unsorted)) (= X (tptp.apply tptp.i X))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (_let_3))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (_let_4))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (and _let_16 _let_15 _let_13))) (let ((_let_24 (ASSUME :args (_let_15)))) (let ((_let_25 (ASSUME :args (_let_16)))) (let ((_let_26 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.apply tptp.combinator Y)))) :args _let_11)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_23)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_24 _let_25 _let_26) (SCOPE (TRANS (CONG (REFL :args (_let_6)) (SYMM _let_26) :args (APPLY_UF tptp.apply)) (SYMM (SYMM _let_25)) (SYMM (SYMM _let_24))) :args (_let_15 _let_16 _let_13))) :args (_let_16 _let_15 _let_13))) :args (true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_5 tptp.i _let_6 QUANTIFIERS_INST_E_MATCHING ((tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z)))) :args _let_21)) _let_22 :args (_let_16 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.combinator _let_6 _let_7 QUANTIFIERS_INST_E_MATCHING ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) :args _let_19)) _let_20 :args (_let_15 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.apply tptp.i X)))) :args (_let_17))) _let_18 :args (_let_13 false _let_17)) :args (_let_10 false _let_16 false _let_15 false _let_13)) _let_12 :args (false false _let_10 false _let_1)) :args (_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.k X) Y) X)) _let_3 _let_2 (forall ((X $$unsorted)) (let ((_let_1 (tptp.apply (tptp.apply tptp.s (tptp.apply tptp.b X)) tptp.i))) (let ((_let_2 (tptp.apply _let_1 _let_1))) (= _let_2 (tptp.apply tptp.x _let_2))))) _let_1)))))))))))))))))))))))))))))
% 1.66/1.89  )
% 1.66/1.89  % SZS output end Proof for COL001-2
% 1.66/1.90  % cvc5---1.0.5 exiting
% 1.66/1.90  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------