TSTP Solution File: GRP715-10 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP715-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 00:27:18 EDT 2023

% Result   : Unsatisfiable 25.11s 25.29s
% Output   : Proof 25.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP715-10 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n018.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   : Tue Aug 29 01:35:17 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.H5PyVEhhl7/cvc5---1.0.5_16343.p...
% 0.21/0.50  ------- get file name : TPTP file name is GRP715-10
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16343.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.42/10.66  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.42/15.70  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.50/20.74  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.11/25.29  % SZS status Unsatisfiable for GRP715-10
% 25.11/25.29  % SZS output start Proof for GRP715-10
% 25.11/25.30  (
% 25.11/25.30  (let ((_let_1 (tptp.mult (tptp.mult tptp.x0 tptp.op_a) tptp.op_b))) (let ((_let_2 (not (= _let_1 tptp.x0)))) (let ((_let_3 (tptp.mult tptp.op_b tptp.op_a))) (let ((_let_4 (= _let_3 tptp.unit))) (let ((_let_5 (tptp.mult tptp.op_a tptp.op_b))) (let ((_let_6 (= _let_5 tptp.unit))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult (tptp.mult (tptp.mult A B) C) B) (tptp.mult A (tptp.mult (tptp.mult B C) B)))))) (let ((_let_10 (= _let_5 _let_3))) (let ((_let_11 (= tptp.x0 _let_1))) (let ((_let_12 (= tptp.x0 (tptp.mult tptp.x0 _let_5)))) (let ((_let_13 (= tptp.op_b (tptp.mult tptp.op_b _let_5)))) (let ((_let_14 (= tptp.op_b (tptp.mult _let_5 tptp.op_b)))) (let ((_let_15 (= _let_5 (tptp.mult _let_5 _let_5)))) (let ((_let_16 (= tptp.op_a (tptp.mult _let_5 tptp.op_a)))) (let ((_let_17 (tptp.mult (tptp.mult tptp.op_a _let_5) tptp.op_a))) (let ((_let_18 (tptp.mult tptp.op_b _let_17))) (let ((_let_19 (= (tptp.mult (tptp.mult _let_3 _let_5) tptp.op_a) _let_18))) (let ((_let_20 (tptp.mult (tptp.mult tptp.x0 tptp.op_b) _let_17))) (let ((_let_21 (tptp.mult _let_20 tptp.op_b))) (let ((_let_22 (= _let_21 (tptp.mult tptp.x0 (tptp.mult _let_18 tptp.op_b))))) (let ((_let_23 (= (tptp.mult (tptp.mult _let_21 tptp.op_a) tptp.op_b) (tptp.mult _let_20 (tptp.mult _let_3 tptp.op_b))))) (let ((_let_24 (SYMM (ASSUME :args (_let_6))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_24 :args ((= tptp.unit _let_3) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_26 (SYMM (ASSUME :args (_let_2))))) (let ((_let_27 (forall ((A $$unsorted)) (= A (tptp.mult A (tptp.mult tptp.op_a tptp.op_b)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_24 :args ((forall ((A $$unsorted)) (= A (tptp.mult A tptp.unit))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_29 (_let_27))) (let ((_let_30 (forall ((A $$unsorted)) (= A (tptp.mult (tptp.mult tptp.op_a tptp.op_b) A))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_24 :args ((forall ((A $$unsorted)) (= A (tptp.mult tptp.unit A))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_32 (_let_30))) (let ((_let_33 (_let_9))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (not _let_23))) (let ((_let_36 (_let_35))) (let ((_let_37 (not _let_11))) (let ((_let_38 (ASSUME :args (_let_23)))) (let ((_let_39 (APPLY_UF tptp.mult))) (let ((_let_40 (REFL :args (tptp.op_b)))) (let ((_let_41 (REFL :args (tptp.op_a)))) (let ((_let_42 (ASSUME :args (_let_12)))) (let ((_let_43 (SYMM _let_42))) (let ((_let_44 (ASSUME :args (_let_16)))) (let ((_let_45 (ASSUME :args (_let_15)))) (let ((_let_46 (REFL :args (_let_5)))) (let ((_let_47 (SYMM _let_25))) (let ((_let_48 (ASSUME :args (_let_19)))) (let ((_let_49 (CONG (REFL :args (tptp.x0)) (CONG (TRANS (SYMM _let_48) (CONG (TRANS (CONG _let_47 _let_46 :args _let_39) (SYMM _let_45)) _let_41 :args _let_39) (SYMM _let_44)) _let_40 :args _let_39) :args _let_39))) (let ((_let_50 (ASSUME :args (_let_22)))) (let ((_let_51 (SYMM (SYMM _let_50)))) (let ((_let_52 (ASSUME :args (_let_14)))) (let ((_let_53 (SYMM _let_52))) (let ((_let_54 (ASSUME :args (_let_13)))) (let ((_let_55 (TRANS (CONG _let_53 _let_46 :args _let_39) (SYMM _let_54)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_38 (MODUS_PONENS (AND_INTRO _let_42 _let_44 _let_45 _let_25 _let_48 _let_50 _let_52 _let_54 _let_26) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (REFL :args (_let_20)) (TRANS (CONG _let_47 (SYMM _let_55) :args _let_39) (CONG _let_46 _let_55 :args _let_39) _let_53) :args _let_39) _let_51 _let_49 _let_43) (CONG (CONG (TRANS _let_51 _let_49 _let_43) _let_41 :args _let_39) _let_40 :args _let_39) :args (=)) (FALSE_INTRO _let_26)) :args ((= _let_23 false)))) :args (_let_12 _let_16 _let_15 _let_10 _let_19 _let_22 _let_14 _let_13 _let_37)))) :args (_let_37 _let_10 _let_12 _let_13 _let_14 _let_15 _let_16 _let_19 _let_22 _let_23)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_36))) (TRUE_INTRO (SYMM (SYMM _let_38))))) :args (_let_23 _let_35)) :args ((not (and _let_37 _let_10 _let_12 _let_13 _let_14 _let_15 _let_16 _let_19 _let_22 _let_23)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_11))) (REFL :args ((not _let_10))) (REFL :args ((not _let_12))) (REFL :args ((not _let_13))) (REFL :args ((not _let_14))) (REFL :args ((not _let_15))) (REFL :args ((not _let_16))) (REFL :args ((not _let_19))) (REFL :args ((not _let_22))) (REFL :args _let_36) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_20 tptp.op_b tptp.op_a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_33)) _let_34 :args (_let_23 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.x0 tptp.op_b _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_33)) _let_34 :args (_let_22 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.op_b tptp.op_a _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_33)) _let_34 :args (_let_19 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.op_a QUANTIFIERS_INST_CBQI_PROP)) :args _let_32)) _let_31 :args (_let_16 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_32)) _let_31 :args (_let_15 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.op_b QUANTIFIERS_INST_CBQI_PROP)) :args _let_32)) _let_31 :args (_let_14 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.op_b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_29)) _let_28 :args (_let_13 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.x0 QUANTIFIERS_INST_CBQI_PROP)) :args _let_29)) _let_28 :args (_let_12 false _let_27)) _let_26 _let_25 :args (false false _let_23 false _let_22 false _let_19 false _let_16 false _let_15 false _let_14 false _let_13 false _let_12 true _let_11 false _let_10)) :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.plus (tptp.plus A B) C) (tptp.plus A (tptp.plus B C)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.plus A B) (tptp.plus B A))) (forall ((A $$unsorted)) (= (tptp.plus A tptp.op_0) A)) (forall ((A $$unsorted)) (= (tptp.plus A (tptp.minus A)) tptp.op_0)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.mult A (tptp.plus B C)) (tptp.plus (tptp.mult A B) (tptp.mult A C)))) _let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult A (tptp.mult B B)) (tptp.mult (tptp.mult A B) B))) _let_8 _let_7 _let_6 _let_4 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.11/25.30  )
% 25.11/25.30  % SZS output end Proof for GRP715-10
% 25.11/25.31  % cvc5---1.0.5 exiting
% 25.11/25.31  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------