TSTP Solution File: SYN345-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN345-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 : Fri Sep  1 02:02:37 EDT 2023

% Result   : Unsatisfiable 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN345-1 : TPTP v8.1.2. Released v1.2.0.
% 0.15/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 18:57:03 EDT 2023
% 0.22/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.zkp2SvdCAc/cvc5---1.0.5_12519.p...
% 0.22/0.51  ------- get file name : TPTP file name is SYN345-1
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12519.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Unsatisfiable for SYN345-1
% 0.22/0.55  % SZS output start Proof for SYN345-1
% 0.22/0.56  (
% 0.22/0.56  (let ((_let_1 (forall ((Y1 $$unsorted)) (or (not (tptp.f tptp.b tptp.b Y1)) (not (tptp.f tptp.a tptp.a tptp.b)) (not (tptp.f tptp.a tptp.b tptp.b)))))) (let ((_let_2 (forall ((Y1 $$unsorted)) (or (not (tptp.f tptp.b tptp.b Y1)) (tptp.f tptp.a tptp.a tptp.b) (tptp.f tptp.a tptp.b tptp.b))))) (let ((_let_3 (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (or (tptp.f Y1 Y2 (tptp.z Y1 Y2)) (not (tptp.f tptp.a tptp.a tptp.b)) (not (tptp.f tptp.a tptp.b tptp.b)))))) (let ((_let_4 (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (or (tptp.f Y1 Y2 (tptp.z Y1 Y2)) (tptp.f tptp.a tptp.a tptp.b) (tptp.f tptp.a tptp.b tptp.b))))) (let ((_let_5 (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (let ((_let_1 (tptp.z Y1 Y2))) (or (not (tptp.f Y1 _let_1 _let_1)) (tptp.f tptp.a tptp.a tptp.b) (not (tptp.f tptp.a tptp.b tptp.b))))))) (let ((_let_6 (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (or (tptp.f tptp.b Y1 Y2) (tptp.f tptp.a tptp.a tptp.b) (not (tptp.f tptp.a tptp.b tptp.b)))))) (let ((_let_7 (forall ((Y1 $$unsorted)) (or (tptp.f tptp.a tptp.b Y1) (not (tptp.f tptp.a tptp.a tptp.b)) (tptp.f tptp.a tptp.b tptp.b))))) (let ((_let_8 (forall ((Y1 $$unsorted)) (not (tptp.f tptp.b tptp.b Y1))))) (let ((_let_9 (tptp.z tptp.b tptp.b))) (let ((_let_10 (tptp.f tptp.b tptp.b _let_9))) (let ((_let_11 (forall ((Y1 $$unsorted)) (not (tptp.f tptp.b tptp.b Y1))))) (let ((_let_12 (tptp.f tptp.a tptp.b tptp.b))) (let ((_let_13 (tptp.f tptp.a tptp.a tptp.b))) (let ((_let_14 (forall ((Y1 $$unsorted)) (tptp.f tptp.a tptp.b Y1)))) (let ((_let_15 (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (tptp.f Y1 Y2 (tptp.z Y1 Y2))))) (let ((_let_16 (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (tptp.f tptp.b Y1 Y2)))) (let ((_let_17 (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (let ((_let_1 (tptp.z Y1 Y2))) (not (tptp.f Y1 _let_1 _let_1)))))) (let ((_let_18 (tptp.z tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (_let_17))) (let ((_let_20 (_let_16))) (let ((_let_21 (_let_15))) (let ((_let_22 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_21) :args (tptp.b tptp.b QUANTIFIERS_INST_ENUM)) :args _let_21)))) (let ((_let_23 (_let_8))) (let ((_let_24 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f tptp.b tptp.b Y1) false))))) :args _let_23)))) (let ((_let_25 (MACRO_RESOLUTION_TRUST _let_24 _let_22 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_20) :args (_let_18 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f tptp.b Y1 Y2) true))))) :args _let_20)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_19) :args (tptp.b SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_19)) (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_13 (not _let_12)) true (tptp.f tptp.b _let_18 _let_18) false _let_17 false _let_16)) :args (_let_13 false _let_10 false _let_8 false _let_15 true _let_12)))) (let ((_let_26 (_let_14))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.f tptp.a tptp.b Y1) true))))) :args _let_26)) :args ((or _let_12 (not _let_14)))) (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) _let_25 :args (_let_12 false _let_14 false _let_13)))) (let ((_let_28 (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (tptp.f Y1 Y2 (tptp.z Y1 Y2))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_24 (MACRO_RESOLUTION_TRUST _let_22 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_15 (= Y1 Y1) (= Y2 Y2)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_25 _let_27 :args (_let_28 false _let_13 false _let_12)) :args (_let_15 false _let_28)) :args (_let_10 false _let_15)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_8 (= Y1 Y1)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) _let_25 _let_27 :args (_let_11 false _let_13 false _let_12)) :args (_let_8 false _let_11)) :args (false false _let_10 false _let_8)) :args (_let_7 (forall ((Y2 $$unsorted) (Y1 $$unsorted)) (or (not (tptp.f Y2 Y1 (tptp.z Y1 Y2))) (not (tptp.f tptp.a tptp.a tptp.b)) (tptp.f tptp.a tptp.b tptp.b))) _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))
% 0.22/0.56  )
% 0.22/0.56  % SZS output end Proof for SYN345-1
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------