TSTP Solution File: GRP704+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP704+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 May 3 02:23:31 EDT 2024
% Result : Theorem 3.62s 1.19s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f6,axiom,
! [X1] : mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f8,axiom,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f9,axiom,
! [X0,X1] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).
fof(f11,axiom,
! [X1] : op_d = ld(X1,mult(op_c,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11) ).
fof(f13,axiom,
! [X0,X1] : op_f = mult(X1,mult(X0,ld(mult(X1,X0),op_c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f13) ).
fof(f14,conjecture,
! [X3,X4] :
( mult(X3,mult(op_f,X4)) = mult(mult(X3,op_f),X4)
& mult(X3,mult(X4,op_f)) = mult(mult(X3,X4),op_f)
& mult(op_f,mult(X3,X4)) = mult(mult(op_f,X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X3,X4] :
( mult(X3,mult(op_f,X4)) = mult(mult(X3,op_f),X4)
& mult(X3,mult(X4,op_f)) = mult(mult(X3,X4),op_f)
& mult(op_f,mult(X3,X4)) = mult(mult(op_f,X3),X4) ),
inference(negated_conjecture,[],[f14]) ).
fof(f17,plain,
! [X0] : mult(unit,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f19,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(rectify,[],[f11]) ).
fof(f20,plain,
~ ! [X0,X1] :
( mult(X0,mult(op_f,X1)) = mult(mult(X0,op_f),X1)
& mult(X0,mult(X1,op_f)) = mult(mult(X0,X1),op_f)
& mult(op_f,mult(X0,X1)) = mult(mult(op_f,X0),X1) ),
inference(rectify,[],[f15]) ).
fof(f21,plain,
? [X0,X1] :
( mult(X0,mult(op_f,X1)) != mult(mult(X0,op_f),X1)
| mult(X0,mult(X1,op_f)) != mult(mult(X0,X1),op_f)
| mult(op_f,mult(X0,X1)) != mult(mult(op_f,X0),X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,plain,
( ? [X0,X1] :
( mult(X0,mult(op_f,X1)) != mult(mult(X0,op_f),X1)
| mult(X0,mult(X1,op_f)) != mult(mult(X0,X1),op_f)
| mult(op_f,mult(X0,X1)) != mult(mult(op_f,X0),X1) )
=> ( mult(sK0,mult(op_f,sK1)) != mult(mult(sK0,op_f),sK1)
| mult(sK0,mult(sK1,op_f)) != mult(mult(sK0,sK1),op_f)
| mult(op_f,mult(sK0,sK1)) != mult(mult(op_f,sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( mult(sK0,mult(op_f,sK1)) != mult(mult(sK0,op_f),sK1)
| mult(sK0,mult(sK1,op_f)) != mult(mult(sK0,sK1),op_f)
| mult(op_f,mult(sK0,sK1)) != mult(mult(op_f,sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f22]) ).
fof(f24,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(op_c,X1),X0),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X0,X1] : mult(X1,mult(X0,op_c)) = mult(mult(X1,X0),op_c),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
! [X0,X1] : op_f = mult(X1,mult(X0,ld(mult(X1,X0),op_c))),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
( mult(sK0,mult(op_f,sK1)) != mult(mult(sK0,op_f),sK1)
| mult(sK0,mult(sK1,op_f)) != mult(mult(sK0,sK1),op_f)
| mult(op_f,mult(sK0,sK1)) != mult(mult(op_f,sK0),sK1) ),
inference(cnf_transformation,[],[f23]) ).
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f24]) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f25]) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f26]) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f27]) ).
cnf(c_54,plain,
mult(unit,X0) = X0,
inference(cnf_transformation,[],[f29]) ).
cnf(c_56,plain,
mult(mult(op_c,X0),X1) = mult(op_c,mult(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
cnf(c_57,plain,
mult(mult(X0,X1),op_c) = mult(X0,mult(X1,op_c)),
inference(cnf_transformation,[],[f32]) ).
cnf(c_59,plain,
ld(X0,mult(op_c,X0)) = op_d,
inference(cnf_transformation,[],[f34]) ).
cnf(c_61,plain,
mult(X0,mult(X1,ld(mult(X0,X1),op_c))) = op_f,
inference(cnf_transformation,[],[f36]) ).
cnf(c_62,negated_conjecture,
( mult(mult(op_f,sK0),sK1) != mult(op_f,mult(sK0,sK1))
| mult(mult(sK0,op_f),sK1) != mult(sK0,mult(op_f,sK1))
| mult(mult(sK0,sK1),op_f) != mult(sK0,mult(sK1,op_f)) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_114,plain,
mult(op_f,sK0) = sP0_iProver_def,
definition ).
cnf(c_115,plain,
mult(sP0_iProver_def,sK1) = sP1_iProver_def,
definition ).
cnf(c_116,plain,
mult(sK0,sK1) = sP2_iProver_def,
definition ).
cnf(c_117,plain,
mult(op_f,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_118,plain,
mult(sK0,op_f) = sP4_iProver_def,
definition ).
cnf(c_119,plain,
mult(sP4_iProver_def,sK1) = sP5_iProver_def,
definition ).
cnf(c_120,plain,
mult(op_f,sK1) = sP6_iProver_def,
definition ).
cnf(c_121,plain,
mult(sK0,sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_122,plain,
mult(sP2_iProver_def,op_f) = sP8_iProver_def,
definition ).
cnf(c_123,plain,
mult(sK1,op_f) = sP9_iProver_def,
definition ).
cnf(c_124,plain,
mult(sK0,sP9_iProver_def) = sP10_iProver_def,
definition ).
cnf(c_125,negated_conjecture,
( sP1_iProver_def != sP3_iProver_def
| sP5_iProver_def != sP7_iProver_def
| sP8_iProver_def != sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_62,c_123,c_124,c_122,c_120,c_121,c_118,c_119,c_116,c_117,c_114,c_115]) ).
cnf(c_228,plain,
ld(sK0,sP2_iProver_def) = sK1,
inference(superposition,[status(thm)],[c_116,c_50]) ).
cnf(c_234,plain,
ld(sP2_iProver_def,sP8_iProver_def) = op_f,
inference(superposition,[status(thm)],[c_122,c_50]) ).
cnf(c_252,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_256,plain,
rd(sP4_iProver_def,op_f) = sK0,
inference(superposition,[status(thm)],[c_118,c_52]) ).
cnf(c_257,plain,
rd(sP9_iProver_def,op_f) = sK1,
inference(superposition,[status(thm)],[c_123,c_52]) ).
cnf(c_264,plain,
rd(sP8_iProver_def,op_f) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_122,c_52]) ).
cnf(c_272,plain,
ld(ld(op_c,X0),X0) = op_d,
inference(superposition,[status(thm)],[c_49,c_59]) ).
cnf(c_274,plain,
mult(X0,op_d) = mult(op_c,X0),
inference(superposition,[status(thm)],[c_59,c_49]) ).
cnf(c_275,plain,
op_c = op_d,
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_290,plain,
rd(mult(op_c,mult(X0,X1)),X1) = mult(op_c,X0),
inference(superposition,[status(thm)],[c_56,c_52]) ).
cnf(c_348,plain,
mult(X0,mult(ld(X0,X1),op_c)) = mult(X1,op_c),
inference(superposition,[status(thm)],[c_49,c_57]) ).
cnf(c_518,plain,
mult(X0,ld(mult(unit,X0),op_c)) = op_f,
inference(superposition,[status(thm)],[c_61,c_54]) ).
cnf(c_522,plain,
mult(X0,ld(X0,op_c)) = op_f,
inference(light_normalisation,[status(thm)],[c_518,c_54]) ).
cnf(c_633,plain,
ld(ld(op_c,X0),X0) = op_c,
inference(light_normalisation,[status(thm)],[c_272,c_275]) ).
cnf(c_637,plain,
ld(op_c,X0) = rd(X0,op_c),
inference(superposition,[status(thm)],[c_633,c_252]) ).
cnf(c_640,plain,
mult(X0,op_c) = mult(op_c,X0),
inference(light_normalisation,[status(thm)],[c_274,c_275]) ).
cnf(c_815,plain,
op_c = op_f,
inference(demodulation,[status(thm)],[c_522,c_49]) ).
cnf(c_816,plain,
rd(sP8_iProver_def,op_c) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_264,c_815]) ).
cnf(c_819,plain,
rd(sP9_iProver_def,op_c) = sK1,
inference(demodulation,[status(thm)],[c_257,c_815]) ).
cnf(c_820,plain,
rd(sP4_iProver_def,op_c) = sK0,
inference(demodulation,[status(thm)],[c_256,c_815]) ).
cnf(c_822,plain,
ld(sP2_iProver_def,sP8_iProver_def) = op_c,
inference(demodulation,[status(thm)],[c_234,c_815]) ).
cnf(c_830,plain,
mult(op_c,sK1) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_120,c_815]) ).
cnf(c_832,plain,
mult(op_c,sP2_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_117,c_815]) ).
cnf(c_833,plain,
mult(op_c,sK0) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_114,c_815]) ).
cnf(c_834,plain,
ld(op_c,sP8_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_816,c_637]) ).
cnf(c_835,plain,
mult(op_c,sP2_iProver_def) = sP8_iProver_def,
inference(superposition,[status(thm)],[c_834,c_49]) ).
cnf(c_839,plain,
sP3_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_835,c_832]) ).
cnf(c_841,plain,
( sP1_iProver_def != sP3_iProver_def
| sP3_iProver_def != sP10_iProver_def
| sP5_iProver_def != sP7_iProver_def ),
inference(demodulation,[status(thm)],[c_125,c_839]) ).
cnf(c_878,plain,
ld(op_c,sP9_iProver_def) = sK1,
inference(demodulation,[status(thm)],[c_819,c_637]) ).
cnf(c_879,plain,
mult(op_c,sK1) = sP9_iProver_def,
inference(superposition,[status(thm)],[c_878,c_49]) ).
cnf(c_883,plain,
sP6_iProver_def = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_879,c_830]) ).
cnf(c_887,plain,
mult(sK0,sP6_iProver_def) = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_124,c_883]) ).
cnf(c_888,plain,
sP7_iProver_def = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_887,c_121]) ).
cnf(c_890,plain,
( sP1_iProver_def != sP3_iProver_def
| sP3_iProver_def != sP7_iProver_def
| sP5_iProver_def != sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_841,c_888]) ).
cnf(c_894,plain,
ld(op_c,sP4_iProver_def) = sK0,
inference(demodulation,[status(thm)],[c_820,c_637]) ).
cnf(c_895,plain,
mult(op_c,sK0) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_894,c_49]) ).
cnf(c_899,plain,
sP0_iProver_def = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_895,c_833]) ).
cnf(c_903,plain,
mult(sP0_iProver_def,sK1) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_119,c_899]) ).
cnf(c_904,plain,
sP1_iProver_def = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_903,c_115]) ).
cnf(c_905,plain,
( sP1_iProver_def != sP3_iProver_def
| sP1_iProver_def != sP7_iProver_def
| sP3_iProver_def != sP7_iProver_def ),
inference(demodulation,[status(thm)],[c_890,c_904]) ).
cnf(c_915,plain,
ld(sP2_iProver_def,sP3_iProver_def) = op_c,
inference(light_normalisation,[status(thm)],[c_822,c_839]) ).
cnf(c_916,plain,
mult(sP2_iProver_def,op_c) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_915,c_49]) ).
cnf(c_1035,plain,
rd(mult(op_c,sP2_iProver_def),sK1) = mult(op_c,sK0),
inference(superposition,[status(thm)],[c_116,c_290]) ).
cnf(c_1046,plain,
rd(sP3_iProver_def,sK1) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_1035,c_832,c_833]) ).
cnf(c_1076,plain,
mult(sP0_iProver_def,sK1) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_1046,c_51]) ).
cnf(c_1077,plain,
sP1_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_1076,c_115]) ).
cnf(c_1078,plain,
( sP1_iProver_def != sP7_iProver_def
| sP3_iProver_def != sP7_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_905,c_1077]) ).
cnf(c_1080,plain,
mult(sP2_iProver_def,op_c) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_916,c_1077]) ).
cnf(c_1087,plain,
sP1_iProver_def != sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_1078,c_1077]) ).
cnf(c_1215,plain,
mult(X0,mult(op_c,ld(X0,X1))) = mult(X1,op_c),
inference(demodulation,[status(thm)],[c_348,c_640]) ).
cnf(c_1225,plain,
mult(sK0,mult(op_c,sK1)) = mult(sP2_iProver_def,op_c),
inference(superposition,[status(thm)],[c_228,c_1215]) ).
cnf(c_1253,plain,
sP1_iProver_def = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_1225,c_121,c_830,c_1080]) ).
cnf(c_1254,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1253,c_1087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP704+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n019.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 : Fri May 3 00:03:14 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.62/1.19 % SZS status Started for theBenchmark.p
% 3.62/1.19 % SZS status Theorem for theBenchmark.p
% 3.62/1.19
% 3.62/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.62/1.19
% 3.62/1.19 ------ iProver source info
% 3.62/1.19
% 3.62/1.19 git: date: 2024-05-02 19:28:25 +0000
% 3.62/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.62/1.19 git: non_committed_changes: false
% 3.62/1.19
% 3.62/1.19 ------ Parsing...
% 3.62/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.62/1.19
% 3.62/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.62/1.19
% 3.62/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.62/1.19
% 3.62/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.62/1.19 ------ Proving...
% 3.62/1.19 ------ Problem Properties
% 3.62/1.19
% 3.62/1.19
% 3.62/1.19 clauses 25
% 3.62/1.19 conjectures 1
% 3.62/1.19 EPR 1
% 3.62/1.19 Horn 25
% 3.62/1.19 unary 24
% 3.62/1.19 binary 0
% 3.62/1.19 lits 27
% 3.62/1.19 lits eq 27
% 3.62/1.19 fd_pure 0
% 3.62/1.19 fd_pseudo 0
% 3.62/1.19 fd_cond 0
% 3.62/1.19 fd_pseudo_cond 0
% 3.62/1.19 AC symbols 0
% 3.62/1.19
% 3.62/1.19 ------ Schedule dynamic 5 is on
% 3.62/1.19
% 3.62/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.62/1.19
% 3.62/1.19
% 3.62/1.19 ------
% 3.62/1.19 Current options:
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% 3.62/1.19 ------ Proving...
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% 3.62/1.19 % SZS status Theorem for theBenchmark.p
% 3.62/1.19
% 3.62/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 3.62/1.20
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