TSTP Solution File: GRP665-12 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP665-12 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 0.22s 0.54s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP665-12 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n022.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 : Mon Aug 28 22:44:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZFKOt7nbUB/cvc5---1.0.5_12982.p...
% 0.22/0.50 ------- get file name : TPTP file name is GRP665-12
% 0.22/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12982.smt2...
% 0.22/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54 % SZS status Unsatisfiable for GRP665-12
% 0.22/0.54 % SZS output start Proof for GRP665-12
% 0.22/0.54 (
% 0.22/0.54 (let ((_let_1 (tptp.mult tptp.x1 tptp.op_c))) (let ((_let_2 (tptp.mult tptp.x0 tptp.x1))) (let ((_let_3 (tptp.mult _let_2 tptp.op_c))) (let ((_let_4 (= _let_3 (tptp.mult tptp.x0 _let_1)))) (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 A (tptp.mult B C)) (tptp.mult (tptp.rd (tptp.mult A B) A) (tptp.mult A C)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.rd (tptp.mult A B) B) A)))) (let ((_let_9 (tptp.mult tptp.op_c tptp.x1))) (let ((_let_10 (= _let_1 _let_9))) (let ((_let_11 (tptp.mult tptp.op_c _let_2))) (let ((_let_12 (= _let_3 _let_11))) (let ((_let_13 (tptp.mult tptp.x0 tptp.op_c))) (let ((_let_14 (= tptp.x0 (tptp.rd _let_13 tptp.op_c)))) (let ((_let_15 (tptp.mult tptp.op_c tptp.x0))) (let ((_let_16 (= _let_11 (tptp.mult (tptp.rd _let_15 tptp.op_c) _let_9)))) (let ((_let_17 (= _let_13 _let_15))) (let ((_let_18 (_let_6))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 ((tptp.mult A tptp.op_c)))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (= A (tptp.rd (tptp.mult A B) 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 (ASSUME :args (_let_10)))) (let ((_let_27 (ASSUME :args (_let_14)))) (let ((_let_28 (ASSUME :args (_let_17)))) (let ((_let_29 (ASSUME :args (_let_16)))) (let ((_let_30 (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_26 _let_29 _let_30) (SCOPE (TRANS (SYMM (SYMM _let_30)) (SYMM (SYMM _let_29)) (CONG (TRANS (CONG (SYMM _let_28) (REFL :args (tptp.op_c)) :args (APPLY_UF tptp.rd)) (SYMM _let_27)) (SYMM _let_26) :args (APPLY_UF tptp.mult))) :args (_let_14 _let_17 _let_10 _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 (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.x0 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.op_c tptp.x0 tptp.x1 QUANTIFIERS_INST_E_MATCHING ((tptp.mult A (tptp.mult B C))))) :args _let_23)) _let_24 :args (_let_16 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.x0 tptp.op_c 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 (MACRO_SR_PRED_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 (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.x1 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)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ld A (tptp.mult A B)) B)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.mult (tptp.rd A B) B) A)) _let_8 (forall ((A $$unsorted)) (= (tptp.mult A tptp.unit) A)) (forall ((A $$unsorted)) (= (tptp.mult tptp.unit A) A)) _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_6 _let_5)))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for GRP665-12
% 0.22/0.55 % cvc5---1.0.5 exiting
% 0.22/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------