TSTP Solution File: REL031+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL031+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Fri May 3 02:56:46 EDT 2024
% Result : Theorem 49.82s 7.71s
% Output : CNFRefutation 49.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f14,conjecture,
! [X0,X1] :
( ( one = join(composition(converse(X1),X1),one)
& one = join(composition(converse(X0),X0),one) )
=> one = join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( ( one = join(composition(converse(X1),X1),one)
& one = join(composition(converse(X0),X0),one) )
=> one = join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) ),
inference(negated_conjecture,[],[f14]) ).
fof(f16,plain,
? [X0,X1] :
( one != join(composition(converse(composition(X0,X1)),composition(X0,X1)),one)
& one = join(composition(converse(X1),X1),one)
& one = join(composition(converse(X0),X0),one) ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
? [X0,X1] :
( one != join(composition(converse(composition(X0,X1)),composition(X0,X1)),one)
& one = join(composition(converse(X1),X1),one)
& one = join(composition(converse(X0),X0),one) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
( ? [X0,X1] :
( one != join(composition(converse(composition(X0,X1)),composition(X0,X1)),one)
& one = join(composition(converse(X1),X1),one)
& one = join(composition(converse(X0),X0),one) )
=> ( one != join(composition(converse(composition(sK0,sK1)),composition(sK0,sK1)),one)
& one = join(composition(converse(sK1),sK1),one)
& one = join(composition(converse(sK0),sK0),one) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( one != join(composition(converse(composition(sK0,sK1)),composition(sK0,sK1)),one)
& one = join(composition(converse(sK1),sK1),one)
& one = join(composition(converse(sK0),sK0),one) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18]) ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f21,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f25,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f26,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f27,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f28,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f33,plain,
one = join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f19]) ).
fof(f34,plain,
one = join(composition(converse(sK1),sK1),one),
inference(cnf_transformation,[],[f19]) ).
fof(f35,plain,
one != join(composition(converse(composition(sK0,sK1)),composition(sK0,sK1)),one),
inference(cnf_transformation,[],[f19]) ).
cnf(c_49,plain,
join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f20]) ).
cnf(c_50,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[],[f21]) ).
cnf(c_52,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(cnf_transformation,[],[f24]) ).
cnf(c_53,plain,
composition(X0,one) = X0,
inference(cnf_transformation,[],[f25]) ).
cnf(c_54,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
inference(cnf_transformation,[],[f26]) ).
cnf(c_55,plain,
converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f27]) ).
cnf(c_56,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_57,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
inference(cnf_transformation,[],[f29]) ).
cnf(c_61,negated_conjecture,
join(composition(converse(composition(sK0,sK1)),composition(sK0,sK1)),one) != one,
inference(cnf_transformation,[],[f35]) ).
cnf(c_62,negated_conjecture,
join(composition(converse(sK1),sK1),one) = one,
inference(cnf_transformation,[],[f34]) ).
cnf(c_63,negated_conjecture,
join(composition(converse(sK0),sK0),one) = one,
inference(cnf_transformation,[],[f33]) ).
cnf(c_78,negated_conjecture,
join(one,composition(converse(composition(sK0,sK1)),composition(sK0,sK1))) != one,
inference(theory_normalisation,[status(thm)],[c_61,c_50,c_49]) ).
cnf(c_79,negated_conjecture,
join(one,composition(converse(sK1),sK1)) = one,
inference(theory_normalisation,[status(thm)],[c_62,c_50,c_49]) ).
cnf(c_80,negated_conjecture,
join(one,composition(converse(sK0),sK0)) = one,
inference(theory_normalisation,[status(thm)],[c_63,c_50,c_49]) ).
cnf(c_120,plain,
converse(sK0) = sP0_iProver_def,
definition ).
cnf(c_121,plain,
composition(sP0_iProver_def,sK0) = sP1_iProver_def,
definition ).
cnf(c_122,plain,
join(one,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_123,plain,
converse(sK1) = sP3_iProver_def,
definition ).
cnf(c_124,plain,
composition(sP3_iProver_def,sK1) = sP4_iProver_def,
definition ).
cnf(c_125,plain,
join(one,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_126,plain,
composition(sK0,sK1) = sP6_iProver_def,
definition ).
cnf(c_127,plain,
converse(sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_128,plain,
composition(sP7_iProver_def,sP6_iProver_def) = sP8_iProver_def,
definition ).
cnf(c_129,plain,
join(one,sP8_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_130,negated_conjecture,
sP2_iProver_def = one,
inference(demodulation,[status(thm)],[c_80,c_120,c_121,c_122]) ).
cnf(c_131,negated_conjecture,
sP5_iProver_def = one,
inference(demodulation,[status(thm)],[c_79,c_123,c_124,c_125]) ).
cnf(c_132,negated_conjecture,
sP9_iProver_def != one,
inference(demodulation,[status(thm)],[c_78,c_126,c_127,c_128,c_129]) ).
cnf(c_221,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_222,plain,
sP2_iProver_def = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_131,c_130]) ).
cnf(c_223,plain,
sP2_iProver_def != sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_132,c_130]) ).
cnf(c_224,plain,
composition(X0,sP2_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_53,c_130]) ).
cnf(c_236,plain,
converse(sP0_iProver_def) = sK0,
inference(superposition,[status(thm)],[c_120,c_55]) ).
cnf(c_238,plain,
join(sP1_iProver_def,one) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_122,c_50,c_49]) ).
cnf(c_239,plain,
join(sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_238,c_130]) ).
cnf(c_243,plain,
join(sP4_iProver_def,one) = sP5_iProver_def,
inference(theory_normalisation,[status(thm)],[c_125,c_50,c_49]) ).
cnf(c_244,plain,
join(sP4_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_243,c_130,c_222]) ).
cnf(c_245,plain,
join(sP2_iProver_def,sP4_iProver_def) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_244,c_50,c_49]) ).
cnf(c_246,plain,
join(sP8_iProver_def,one) = sP9_iProver_def,
inference(theory_normalisation,[status(thm)],[c_129,c_50,c_49]) ).
cnf(c_247,plain,
join(sP8_iProver_def,sP2_iProver_def) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_246,c_130]) ).
cnf(c_248,plain,
join(sP2_iProver_def,sP8_iProver_def) = sP9_iProver_def,
inference(theory_normalisation,[status(thm)],[c_247,c_50,c_49]) ).
cnf(c_261,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_314,plain,
composition(sP3_iProver_def,converse(X0)) = converse(composition(X0,sK1)),
inference(superposition,[status(thm)],[c_123,c_57]) ).
cnf(c_315,plain,
composition(sP0_iProver_def,converse(X0)) = converse(composition(X0,sK0)),
inference(superposition,[status(thm)],[c_120,c_57]) ).
cnf(c_321,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_326,plain,
composition(converse(X0),sK0) = converse(composition(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_236,c_57]) ).
cnf(c_337,plain,
join(sP2_iProver_def,join(sP8_iProver_def,X0)) = join(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_248,c_50]) ).
cnf(c_343,plain,
composition(sP0_iProver_def,composition(sK0,X0)) = composition(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_121,c_52]) ).
cnf(c_346,plain,
composition(X0,composition(sP2_iProver_def,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_224,c_52]) ).
cnf(c_355,plain,
join(sP4_iProver_def,composition(X0,sK1)) = composition(join(sP3_iProver_def,X0),sK1),
inference(superposition,[status(thm)],[c_124,c_54]) ).
cnf(c_467,plain,
join(sP2_iProver_def,join(X0,sP4_iProver_def)) = join(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_245,c_221]) ).
cnf(c_468,plain,
join(sP2_iProver_def,join(X0,sP8_iProver_def)) = join(X0,sP9_iProver_def),
inference(superposition,[status(thm)],[c_248,c_221]) ).
cnf(c_604,plain,
join(sP8_iProver_def,sP2_iProver_def) = join(sP9_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_467,c_337]) ).
cnf(c_605,plain,
join(sP2_iProver_def,sP8_iProver_def) = join(sP4_iProver_def,sP9_iProver_def),
inference(theory_normalisation,[status(thm)],[c_604,c_50,c_49]) ).
cnf(c_606,plain,
join(sP4_iProver_def,sP9_iProver_def) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_605,c_248]) ).
cnf(c_1016,plain,
composition(sP3_iProver_def,converse(sK0)) = converse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_126,c_314]) ).
cnf(c_1027,plain,
composition(sP3_iProver_def,sP0_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_1016,c_120,c_127]) ).
cnf(c_1040,plain,
composition(sP3_iProver_def,composition(sP0_iProver_def,X0)) = composition(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_1027,c_52]) ).
cnf(c_1047,plain,
composition(sP0_iProver_def,converse(sP0_iProver_def)) = converse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_121,c_315]) ).
cnf(c_1056,plain,
converse(sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1047,c_121,c_236]) ).
cnf(c_1063,plain,
composition(sP1_iProver_def,converse(X0)) = converse(composition(X0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_1056,c_57]) ).
cnf(c_3076,plain,
composition(sP0_iProver_def,sP6_iProver_def) = composition(sP1_iProver_def,sK1),
inference(superposition,[status(thm)],[c_126,c_343]) ).
cnf(c_3342,plain,
composition(sP3_iProver_def,converse(sP1_iProver_def)) = converse(composition(sP0_iProver_def,sP6_iProver_def)),
inference(superposition,[status(thm)],[c_3076,c_314]) ).
cnf(c_3343,plain,
converse(composition(sP0_iProver_def,sP6_iProver_def)) = composition(sP3_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_3342,c_1056]) ).
cnf(c_3376,plain,
composition(sP3_iProver_def,sP1_iProver_def) = composition(sP7_iProver_def,sK0),
inference(demodulation,[status(thm)],[c_3343,c_127,c_326]) ).
cnf(c_3378,plain,
composition(composition(sP3_iProver_def,sP1_iProver_def),X0) = composition(sP7_iProver_def,composition(sK0,X0)),
inference(superposition,[status(thm)],[c_3376,c_52]) ).
cnf(c_5520,plain,
composition(sP3_iProver_def,composition(sP1_iProver_def,X0)) = composition(sP7_iProver_def,composition(sK0,X0)),
inference(superposition,[status(thm)],[c_343,c_1040]) ).
cnf(c_5720,plain,
converse(composition(sP1_iProver_def,converse(X0))) = composition(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_1063,c_55]) ).
cnf(c_9634,plain,
composition(converse(sP2_iProver_def),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_224,c_321]) ).
cnf(c_9791,plain,
composition(converse(sP2_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_9634,c_55]) ).
cnf(c_9900,plain,
composition(converse(sP2_iProver_def),X0) = composition(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_9791,c_346]) ).
cnf(c_9936,plain,
composition(sP2_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_9900,c_9791]) ).
cnf(c_10994,plain,
join(composition(X0,X1),X1) = composition(join(X0,sP2_iProver_def),X1),
inference(superposition,[status(thm)],[c_9936,c_54]) ).
cnf(c_11035,plain,
join(X0,composition(X1,X0)) = composition(join(X1,sP2_iProver_def),X0),
inference(theory_normalisation,[status(thm)],[c_10994,c_50,c_49]) ).
cnf(c_32333,plain,
join(X0,composition(sP1_iProver_def,X0)) = composition(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_239,c_11035]) ).
cnf(c_32447,plain,
join(X0,composition(sP1_iProver_def,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_32333,c_9936]) ).
cnf(c_32649,plain,
join(X0,converse(composition(sP1_iProver_def,converse(X0)))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_32447,c_261]) ).
cnf(c_32767,plain,
join(X0,composition(X0,sP1_iProver_def)) = X0,
inference(light_normalisation,[status(thm)],[c_32649,c_55,c_5720]) ).
cnf(c_33431,plain,
join(sP4_iProver_def,composition(composition(sP3_iProver_def,sP1_iProver_def),sK1)) = composition(sP3_iProver_def,sK1),
inference(superposition,[status(thm)],[c_32767,c_355]) ).
cnf(c_33529,plain,
join(sP4_iProver_def,composition(composition(sP3_iProver_def,sP1_iProver_def),sK1)) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_33431,c_124]) ).
cnf(c_135292,plain,
join(sP4_iProver_def,sP8_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_33529,c_128,c_1040,c_3076,c_3378,c_5520]) ).
cnf(c_135320,plain,
join(sP2_iProver_def,sP4_iProver_def) = join(sP4_iProver_def,sP9_iProver_def),
inference(superposition,[status(thm)],[c_135292,c_468]) ).
cnf(c_135326,plain,
sP2_iProver_def = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_135320,c_245,c_606]) ).
cnf(c_135327,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_135326,c_223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL031+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 20:09:16 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 49.82/7.71 % SZS status Started for theBenchmark.p
% 49.82/7.71 % SZS status Theorem for theBenchmark.p
% 49.82/7.71
% 49.82/7.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 49.82/7.71
% 49.82/7.71 ------ iProver source info
% 49.82/7.71
% 49.82/7.71 git: date: 2024-05-02 19:28:25 +0000
% 49.82/7.71 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 49.82/7.71 git: non_committed_changes: false
% 49.82/7.71
% 49.82/7.71 ------ Parsing...
% 49.82/7.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 49.82/7.71
% 49.82/7.71 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 49.82/7.71
% 49.82/7.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 49.82/7.71
% 49.82/7.71 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 49.82/7.71 ------ Proving...
% 49.82/7.71 ------ Problem Properties
% 49.82/7.71
% 49.82/7.71
% 49.82/7.71 clauses 25
% 49.82/7.71 conjectures 3
% 49.82/7.71 EPR 3
% 49.82/7.71 Horn 25
% 49.82/7.71 unary 25
% 49.82/7.71 binary 0
% 49.82/7.71 lits 25
% 49.82/7.71 lits eq 25
% 49.82/7.71 fd_pure 0
% 49.82/7.71 fd_pseudo 0
% 49.82/7.71 fd_cond 0
% 49.82/7.71 fd_pseudo_cond 0
% 49.82/7.71 AC symbols 1
% 49.82/7.71
% 49.82/7.71 ------ Schedule UEQ
% 49.82/7.71
% 49.82/7.71 ------ Option_UEQ Time Limit: 10.
% 49.82/7.71
% 49.82/7.71
% 49.82/7.71 ------
% 49.82/7.71 Current options:
% 49.82/7.71 ------
% 49.82/7.71
% 49.82/7.71
% 49.82/7.71
% 49.82/7.71
% 49.82/7.71 ------ Proving...
% 49.82/7.71
% 49.82/7.71
% 49.82/7.71 % SZS status Theorem for theBenchmark.p
% 49.82/7.71
% 49.82/7.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 49.82/7.71
% 49.82/7.72
%------------------------------------------------------------------------------