TSTP Solution File: KLE060+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 02:32:48 EDT 2024
% Result : Theorem 7.92s 1.64s
% Output : CNFRefutation 7.92s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).
fof(f18,conjecture,
! [X3,X4] : domain(multiplication(domain(X3),X4)) = multiplication(domain(X3),domain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] : domain(multiplication(domain(X3),X4)) = multiplication(domain(X3),domain(X4)),
inference(negated_conjecture,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f21,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f22,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f23,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f24,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(rectify,[],[f17]) ).
fof(f25,plain,
~ ! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
inference(rectify,[],[f19]) ).
fof(f26,plain,
? [X0,X1] : domain(multiplication(domain(X0),X1)) != multiplication(domain(X0),domain(X1)),
inference(ennf_transformation,[],[f25]) ).
fof(f27,plain,
( ? [X0,X1] : domain(multiplication(domain(X0),X1)) != multiplication(domain(X0),domain(X1))
=> domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).
fof(f29,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f30,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f20]) ).
fof(f34,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f36,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f37,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f29]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f30]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f34]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f35]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f36]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f37]) ).
cnf(c_60,plain,
addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
inference(cnf_transformation,[],[f40]) ).
cnf(c_61,plain,
domain(multiplication(X0,domain(X1))) = domain(multiplication(X0,X1)),
inference(cnf_transformation,[],[f41]) ).
cnf(c_62,plain,
addition(domain(X0),one) = one,
inference(cnf_transformation,[],[f42]) ).
cnf(c_64,plain,
addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
inference(cnf_transformation,[],[f44]) ).
cnf(c_65,negated_conjecture,
multiplication(domain(sK0),domain(sK1)) != domain(multiplication(domain(sK0),sK1)),
inference(cnf_transformation,[],[f45]) ).
cnf(c_79,plain,
addition(one,domain(X0)) = one,
inference(theory_normalisation,[status(thm)],[c_62,c_50,c_49]) ).
cnf(c_120,plain,
domain(sK0) = sP0_iProver_def,
definition ).
cnf(c_121,plain,
domain(sK1) = sP1_iProver_def,
definition ).
cnf(c_122,plain,
multiplication(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_123,plain,
multiplication(sP0_iProver_def,sK1) = sP3_iProver_def,
definition ).
cnf(c_124,plain,
domain(sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_125,negated_conjecture,
sP2_iProver_def != sP4_iProver_def,
inference(demodulation,[status(thm)],[c_65,c_123,c_124,c_121,c_120,c_122]) ).
cnf(c_204,plain,
addition(one,sP0_iProver_def) = one,
inference(superposition,[status(thm)],[c_120,c_79]) ).
cnf(c_205,plain,
addition(one,sP1_iProver_def) = one,
inference(superposition,[status(thm)],[c_121,c_79]) ).
cnf(c_208,plain,
addition(sP1_iProver_def,one) = one,
inference(theory_normalisation,[status(thm)],[c_205,c_50,c_49]) ).
cnf(c_209,plain,
addition(sP0_iProver_def,one) = one,
inference(theory_normalisation,[status(thm)],[c_204,c_50,c_49]) ).
cnf(c_219,plain,
domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[status(thm)],[c_55,c_61]) ).
cnf(c_223,plain,
domain(multiplication(X0,sK1)) = domain(multiplication(X0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_121,c_61]) ).
cnf(c_228,plain,
domain(domain(X0)) = domain(X0),
inference(light_normalisation,[status(thm)],[c_219,c_55]) ).
cnf(c_231,plain,
domain(sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_120,c_228]) ).
cnf(c_232,plain,
domain(sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_121,c_228]) ).
cnf(c_233,plain,
domain(sP4_iProver_def) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_124,c_228]) ).
cnf(c_275,plain,
addition(sP1_iProver_def,addition(one,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_208,c_50]) ).
cnf(c_336,plain,
domain(multiplication(sP0_iProver_def,sP1_iProver_def)) = domain(sP3_iProver_def),
inference(superposition,[status(thm)],[c_123,c_223]) ).
cnf(c_341,plain,
domain(sP2_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_336,c_122,c_124]) ).
cnf(c_372,plain,
addition(multiplication(X0,sP1_iProver_def),multiplication(X0,one)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_208,c_56]) ).
cnf(c_386,plain,
addition(multiplication(X0,sP1_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_372,c_54]) ).
cnf(c_387,plain,
addition(X0,multiplication(X0,sP1_iProver_def)) = X0,
inference(theory_normalisation,[status(thm)],[c_386,c_50,c_49]) ).
cnf(c_407,plain,
addition(multiplication(one,X0),multiplication(domain(X1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_79,c_57]) ).
cnf(c_411,plain,
addition(multiplication(sP0_iProver_def,X0),multiplication(one,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_209,c_57]) ).
cnf(c_425,plain,
addition(multiplication(sP0_iProver_def,X0),X0) = X0,
inference(light_normalisation,[status(thm)],[c_411,c_55]) ).
cnf(c_426,plain,
addition(X0,multiplication(sP0_iProver_def,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_425,c_50,c_49]) ).
cnf(c_433,plain,
addition(X0,multiplication(domain(X1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_407,c_55]) ).
cnf(c_435,plain,
multiplication(domain(X0),X0) = X0,
inference(demodulation,[status(thm)],[c_60,c_433]) ).
cnf(c_451,plain,
multiplication(sP4_iProver_def,sP4_iProver_def) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_233,c_435]) ).
cnf(c_453,plain,
multiplication(sP4_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_341,c_435]) ).
cnf(c_546,plain,
addition(sP0_iProver_def,sP2_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_122,c_387]) ).
cnf(c_559,plain,
addition(domain(sP0_iProver_def),domain(sP2_iProver_def)) = domain(sP0_iProver_def),
inference(superposition,[status(thm)],[c_546,c_64]) ).
cnf(c_562,plain,
addition(sP0_iProver_def,sP4_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_559,c_231,c_341]) ).
cnf(c_567,plain,
addition(multiplication(sP0_iProver_def,X0),multiplication(sP4_iProver_def,X0)) = multiplication(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_562,c_57]) ).
cnf(c_595,plain,
addition(sP1_iProver_def,sP2_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_122,c_426]) ).
cnf(c_608,plain,
addition(sP1_iProver_def,addition(sP2_iProver_def,X0)) = addition(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_595,c_50]) ).
cnf(c_609,plain,
addition(domain(sP1_iProver_def),domain(sP2_iProver_def)) = domain(sP1_iProver_def),
inference(superposition,[status(thm)],[c_595,c_64]) ).
cnf(c_610,plain,
addition(multiplication(X0,sP1_iProver_def),multiplication(X0,sP2_iProver_def)) = multiplication(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_595,c_56]) ).
cnf(c_612,plain,
addition(sP1_iProver_def,sP4_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_609,c_232,c_341]) ).
cnf(c_622,plain,
addition(multiplication(X0,sP1_iProver_def),multiplication(X0,sP4_iProver_def)) = multiplication(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_612,c_56]) ).
cnf(c_826,plain,
addition(sP1_iProver_def,addition(X0,one)) = addition(X0,one),
inference(superposition,[status(thm)],[c_49,c_275]) ).
cnf(c_1631,plain,
addition(sP1_iProver_def,one) = addition(sP2_iProver_def,one),
inference(superposition,[status(thm)],[c_826,c_608]) ).
cnf(c_1634,plain,
addition(sP2_iProver_def,one) = one,
inference(light_normalisation,[status(thm)],[c_1631,c_208]) ).
cnf(c_1641,plain,
addition(multiplication(X0,sP2_iProver_def),multiplication(X0,one)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1634,c_56]) ).
cnf(c_1648,plain,
addition(multiplication(X0,sP2_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_1641,c_54]) ).
cnf(c_1649,plain,
addition(X0,multiplication(X0,sP2_iProver_def)) = X0,
inference(theory_normalisation,[status(thm)],[c_1648,c_50,c_49]) ).
cnf(c_1683,plain,
addition(sP4_iProver_def,sP2_iProver_def) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_453,c_1649]) ).
cnf(c_1701,plain,
addition(sP2_iProver_def,sP4_iProver_def) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_1683,c_50,c_49]) ).
cnf(c_7580,plain,
addition(sP2_iProver_def,multiplication(sP4_iProver_def,sP1_iProver_def)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_122,c_567]) ).
cnf(c_8337,plain,
addition(multiplication(sP4_iProver_def,sP1_iProver_def),sP2_iProver_def) = multiplication(sP4_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_453,c_610]) ).
cnf(c_8352,plain,
addition(sP2_iProver_def,multiplication(sP4_iProver_def,sP1_iProver_def)) = multiplication(sP4_iProver_def,sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_8337,c_50,c_49]) ).
cnf(c_8353,plain,
multiplication(sP4_iProver_def,sP1_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_8352,c_7580]) ).
cnf(c_8958,plain,
addition(sP2_iProver_def,multiplication(sP4_iProver_def,sP4_iProver_def)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_8353,c_622]) ).
cnf(c_8976,plain,
sP2_iProver_def = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_8958,c_451,c_1701]) ).
cnf(c_8977,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8976,c_125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 00:32:50 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 7.92/1.64 % SZS status Started for theBenchmark.p
% 7.92/1.64 % SZS status Theorem for theBenchmark.p
% 7.92/1.64
% 7.92/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.92/1.64
% 7.92/1.64 ------ iProver source info
% 7.92/1.64
% 7.92/1.64 git: date: 2024-05-02 19:28:25 +0000
% 7.92/1.64 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.92/1.64 git: non_committed_changes: false
% 7.92/1.64
% 7.92/1.64 ------ Parsing...
% 7.92/1.64 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.92/1.64
% 7.92/1.64 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.92/1.64
% 7.92/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.92/1.64
% 7.92/1.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.92/1.64 ------ Proving...
% 7.92/1.64 ------ Problem Properties
% 7.92/1.64
% 7.92/1.64
% 7.92/1.64 clauses 22
% 7.92/1.64 conjectures 1
% 7.92/1.64 EPR 1
% 7.92/1.64 Horn 22
% 7.92/1.64 unary 22
% 7.92/1.64 binary 0
% 7.92/1.64 lits 22
% 7.92/1.64 lits eq 22
% 7.92/1.64 fd_pure 0
% 7.92/1.64 fd_pseudo 0
% 7.92/1.64 fd_cond 0
% 7.92/1.64 fd_pseudo_cond 0
% 7.92/1.64 AC symbols 1
% 7.92/1.64
% 7.92/1.64 ------ Schedule UEQ
% 7.92/1.64
% 7.92/1.64 ------ Option_UEQ Time Limit: 10.
% 7.92/1.64
% 7.92/1.64
% 7.92/1.64 ------
% 7.92/1.64 Current options:
% 7.92/1.64 ------
% 7.92/1.64
% 7.92/1.64
% 7.92/1.64
% 7.92/1.64
% 7.92/1.64 ------ Proving...
% 7.92/1.64
% 7.92/1.64
% 7.92/1.64 % SZS status Theorem for theBenchmark.p
% 7.92/1.64
% 7.92/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.92/1.64
% 7.92/1.64
%------------------------------------------------------------------------------