TSTP Solution File: GRP665-10 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP665-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 : Thu Aug 31 00:27:03 EDT 2023

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP665-10 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 28 22:00:25 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KtKy3iwqE5/cvc5---1.0.5_16383.p...
% 0.20/0.49  ------- get file name : TPTP file name is GRP665-10
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16383.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Unsatisfiable for GRP665-10
% 0.20/0.52  % SZS output start Proof for GRP665-10
% 0.20/0.52  (
% 0.20/0.52  (let ((_let_1 (tptp.mult tptp.op_c tptp.x0))) (let ((_let_2 (tptp.mult tptp.x0 tptp.x1))) (let ((_let_3 (tptp.mult tptp.op_c _let_2))) (let ((_let_4 (= _let_3 (tptp.mult _let_1 tptp.x1)))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.mult tptp.op_c A) (tptp.mult A tptp.op_c))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult A B) C) (tptp.mult (tptp.mult A C) (tptp.ld C (tptp.mult B C))))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)))) (let ((_let_9 (tptp.mult tptp.x0 tptp.op_c))) (let ((_let_10 (= _let_1 _let_9))) (let ((_let_11 (tptp.mult _let_2 tptp.op_c))) (let ((_let_12 (= _let_3 _let_11))) (let ((_let_13 (tptp.mult tptp.op_c tptp.x1))) (let ((_let_14 (= tptp.x1 (tptp.ld tptp.op_c _let_13)))) (let ((_let_15 (tptp.mult tptp.x1 tptp.op_c))) (let ((_let_16 (= _let_11 (tptp.mult _let_9 (tptp.ld tptp.op_c _let_15))))) (let ((_let_17 (= _let_13 _let_15))) (let ((_let_18 (_let_6))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 ((tptp.mult tptp.op_c A)))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (= B (tptp.ld A (tptp.mult A B)))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_7))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (and _let_10 _let_12 _let_14 _let_16 _let_17))) (let ((_let_26 (APPLY_UF tptp.mult))) (let ((_let_27 (ASSUME :args (_let_10)))) (let ((_let_28 (ASSUME :args (_let_14)))) (let ((_let_29 (ASSUME :args (_let_17)))) (let ((_let_30 (ASSUME :args (_let_16)))) (let ((_let_31 (ASSUME :args (_let_12)))) (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 _let_31) (SCOPE (TRANS (SYMM (SYMM _let_31)) (SYMM (SYMM _let_30)) (CONG (REFL :args (_let_9)) (TRANS (CONG (REFL :args (tptp.op_c)) (SYMM _let_29) :args (APPLY_UF tptp.ld)) (SYMM _let_28)) :args _let_26) (CONG (SYMM _let_27) (REFL :args (tptp.x1)) :args _let_26)) :args (_let_10 _let_14 _let_17 _let_16 _let_12))) :args (_let_10 _let_12 _let_14 _let_16 _let_17))) :args (true _let_25)) :args ((or _let_4 (not _let_10) (not _let_12) (not _let_14) (not _let_16) (not _let_17)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_18)) _let_19 :args (_let_17 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.x0 tptp.x1 tptp.op_c QUANTIFIERS_INST_E_MATCHING ((tptp.mult (tptp.mult A B) C)))) :args _let_23)) _let_24 :args (_let_16 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.op_c tptp.x1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.mult A B)))) :args (_let_21))) _let_22 :args (_let_14 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_18)) _let_19 :args (_let_12 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.x0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_18)) _let_19 :args (_let_10 false _let_6)) (ASSUME :args (_let_5)) :args (false false _let_17 false _let_16 false _let_14 false _let_12 false _let_10 true _let_4)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.ld A B)) B)) _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult (tptp.rd A B) B) A)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.rd (tptp.mult A B) B) A)) (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)) (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult A (tptp.mult B C)) (tptp.mult (tptp.rd (tptp.mult A B) A) (tptp.mult A C)))) _let_7 _let_6 _let_5))))))))))))))))))))))))))))))))))
% 0.20/0.52  )
% 0.20/0.52  % SZS output end Proof for GRP665-10
% 0.20/0.52  % cvc5---1.0.5 exiting
% 0.20/0.52  % cvc5---1.0.5 exiting
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