TSTP Solution File: KLE062+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE062+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 : Thu Aug 31 05:31:57 EDT 2023
% Result : Theorem 20.91s 3.70s
% Output : CNFRefutation 20.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 13
% Syntax : Number of formulae : 90 ( 89 unt; 0 def)
% Number of atoms : 91 ( 90 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 178 ( 28 sgn; 59 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f17,axiom,
! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).
fof(f18,conjecture,
! [X3,X4] : multiplication(domain(X3),domain(X4)) = multiplication(domain(X4),domain(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X3,X4] : multiplication(domain(X3),domain(X4)) = multiplication(domain(X4),domain(X3)),
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] : multiplication(domain(X0),domain(X1)) = multiplication(domain(X1),domain(X0)),
inference(rectify,[],[f19]) ).
fof(f26,plain,
? [X0,X1] : multiplication(domain(X0),domain(X1)) != multiplication(domain(X1),domain(X0)),
inference(ennf_transformation,[],[f25]) ).
fof(f27,plain,
( ? [X0,X1] : multiplication(domain(X0),domain(X1)) != multiplication(domain(X1),domain(X0))
=> multiplication(domain(sK0),domain(sK1)) != multiplication(domain(sK1),domain(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
multiplication(domain(sK0),domain(sK1)) != multiplication(domain(sK1),domain(sK0)),
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(f33,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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,
multiplication(domain(sK0),domain(sK1)) != multiplication(domain(sK1),domain(sK0)),
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_53,plain,
multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f33]) ).
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)) != multiplication(domain(sK1),domain(sK0)),
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_193,plain,
domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[status(thm)],[c_55,c_61]) ).
cnf(c_199,plain,
domain(domain(X0)) = domain(X0),
inference(light_normalisation,[status(thm)],[c_193,c_55]) ).
cnf(c_214,plain,
addition(one,addition(domain(X0),X1)) = addition(one,X1),
inference(superposition,[status(thm)],[c_79,c_50]) ).
cnf(c_347,plain,
addition(multiplication(X0,one),multiplication(X0,domain(X1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_79,c_56]) ).
cnf(c_366,plain,
addition(X0,multiplication(X0,domain(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_347,c_54]) ).
cnf(c_382,plain,
addition(multiplication(one,X0),multiplication(domain(X1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_79,c_57]) ).
cnf(c_402,plain,
addition(X0,multiplication(domain(X1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_382,c_55]) ).
cnf(c_406,plain,
multiplication(domain(X0),X0) = X0,
inference(demodulation,[status(thm)],[c_60,c_402]) ).
cnf(c_410,plain,
multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = multiplication(X0,domain(X1)),
inference(superposition,[status(thm)],[c_61,c_406]) ).
cnf(c_413,plain,
multiplication(domain(X0),domain(X0)) = domain(X0),
inference(superposition,[status(thm)],[c_199,c_406]) ).
cnf(c_415,plain,
multiplication(domain(X0),multiplication(X0,X1)) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_406,c_53]) ).
cnf(c_454,plain,
addition(X0,addition(multiplication(X0,domain(X1)),X2)) = addition(X0,X2),
inference(superposition,[status(thm)],[c_366,c_50]) ).
cnf(c_455,plain,
addition(domain(X0),domain(multiplication(X0,domain(X1)))) = domain(X0),
inference(superposition,[status(thm)],[c_366,c_64]) ).
cnf(c_456,plain,
addition(multiplication(X0,X1),multiplication(X0,multiplication(X1,domain(X2)))) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_366,c_56]) ).
cnf(c_460,plain,
addition(one,multiplication(domain(X0),domain(X1))) = addition(one,domain(X0)),
inference(superposition,[status(thm)],[c_366,c_214]) ).
cnf(c_465,plain,
addition(domain(X0),domain(multiplication(X0,X1))) = domain(X0),
inference(light_normalisation,[status(thm)],[c_455,c_61]) ).
cnf(c_466,plain,
addition(one,multiplication(domain(X0),domain(X1))) = one,
inference(light_normalisation,[status(thm)],[c_460,c_79]) ).
cnf(c_482,plain,
addition(X0,addition(multiplication(domain(X1),X0),X2)) = addition(X0,X2),
inference(superposition,[status(thm)],[c_402,c_50]) ).
cnf(c_483,plain,
addition(domain(X0),domain(multiplication(domain(X1),X0))) = domain(X0),
inference(superposition,[status(thm)],[c_402,c_64]) ).
cnf(c_539,plain,
addition(multiplication(X0,one),multiplication(X0,multiplication(domain(X1),domain(X2)))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_466,c_56]) ).
cnf(c_543,plain,
addition(X0,multiplication(X0,multiplication(domain(X1),domain(X2)))) = X0,
inference(light_normalisation,[status(thm)],[c_539,c_54]) ).
cnf(c_636,plain,
addition(multiplication(domain(X0),X1),multiplication(domain(multiplication(X0,X2)),X1)) = multiplication(domain(X0),X1),
inference(superposition,[status(thm)],[c_465,c_57]) ).
cnf(c_862,plain,
addition(multiplication(X0,domain(X1)),multiplication(X0,domain(multiplication(domain(X2),X1)))) = multiplication(X0,domain(X1)),
inference(superposition,[status(thm)],[c_483,c_56]) ).
cnf(c_1021,plain,
addition(X0,multiplication(domain(X1),multiplication(X0,domain(X2)))) = addition(X0,multiplication(X0,domain(X2))),
inference(superposition,[status(thm)],[c_402,c_454]) ).
cnf(c_1864,plain,
addition(domain(multiplication(domain(X0),X1)),multiplication(domain(X0),domain(X1))) = domain(multiplication(domain(X0),X1)),
inference(superposition,[status(thm)],[c_410,c_543]) ).
cnf(c_1880,plain,
addition(multiplication(domain(X0),domain(X1)),domain(multiplication(domain(X0),X1))) = domain(multiplication(domain(X0),X1)),
inference(theory_normalisation,[status(thm)],[c_1864,c_50,c_49]) ).
cnf(c_1938,plain,
addition(X0,multiplication(domain(X1),multiplication(X0,domain(X2)))) = addition(X0,multiplication(domain(X1),X0)),
inference(superposition,[status(thm)],[c_456,c_482]) ).
cnf(c_1948,plain,
addition(X0,multiplication(domain(X1),multiplication(X0,domain(X2)))) = X0,
inference(light_normalisation,[status(thm)],[c_1938,c_402,c_1021]) ).
cnf(c_1987,plain,
addition(multiplication(X0,X1),multiplication(domain(X2),multiplication(X0,multiplication(X1,domain(X3))))) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_53,c_1948]) ).
cnf(c_11324,plain,
addition(multiplication(domain(X0),domain(multiplication(X0,X1))),domain(multiplication(X0,X1))) = multiplication(domain(X0),domain(multiplication(X0,X1))),
inference(superposition,[status(thm)],[c_413,c_636]) ).
cnf(c_11379,plain,
addition(domain(multiplication(X0,X1)),multiplication(domain(X0),domain(multiplication(X0,X1)))) = multiplication(domain(X0),domain(multiplication(X0,X1))),
inference(theory_normalisation,[status(thm)],[c_11324,c_50,c_49]) ).
cnf(c_17698,plain,
addition(multiplication(domain(X0),domain(multiplication(X0,X1))),domain(multiplication(X0,X1))) = domain(multiplication(X0,X1)),
inference(superposition,[status(thm)],[c_415,c_1880]) ).
cnf(c_17757,plain,
addition(domain(multiplication(X0,X1)),multiplication(domain(X0),domain(multiplication(X0,X1)))) = domain(multiplication(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_17698,c_50,c_49]) ).
cnf(c_17758,plain,
multiplication(domain(X0),domain(multiplication(X0,X1))) = domain(multiplication(X0,X1)),
inference(light_normalisation,[status(thm)],[c_17757,c_11379]) ).
cnf(c_17934,plain,
addition(multiplication(domain(domain(X0)),domain(X1)),domain(multiplication(domain(X0),X1))) = multiplication(domain(domain(X0)),domain(X1)),
inference(superposition,[status(thm)],[c_17758,c_862]) ).
cnf(c_17996,plain,
multiplication(domain(X0),domain(X1)) = domain(multiplication(domain(X0),X1)),
inference(light_normalisation,[status(thm)],[c_17934,c_199,c_1880]) ).
cnf(c_18089,plain,
multiplication(multiplication(domain(X0),domain(X1)),multiplication(domain(X0),X1)) = multiplication(domain(X0),X1),
inference(superposition,[status(thm)],[c_17996,c_406]) ).
cnf(c_19344,plain,
multiplication(domain(X0),multiplication(domain(X1),multiplication(domain(X0),X1))) = multiplication(domain(X0),X1),
inference(demodulation,[status(thm)],[c_18089,c_53]) ).
cnf(c_19458,plain,
addition(multiplication(domain(domain(X0)),domain(X1)),multiplication(domain(X1),domain(X0))) = multiplication(domain(domain(X0)),domain(X1)),
inference(superposition,[status(thm)],[c_19344,c_1987]) ).
cnf(c_19495,plain,
addition(multiplication(domain(X0),domain(X1)),multiplication(domain(X1),domain(X0))) = multiplication(domain(X0),domain(X1)),
inference(light_normalisation,[status(thm)],[c_19458,c_199]) ).
cnf(c_72072,plain,
addition(multiplication(domain(X0),domain(X1)),multiplication(domain(X1),domain(X0))) = multiplication(domain(X1),domain(X0)),
inference(superposition,[status(thm)],[c_19495,c_49]) ).
cnf(c_87107,plain,
multiplication(domain(X0),domain(X1)) = multiplication(domain(X1),domain(X0)),
inference(superposition,[status(thm)],[c_72072,c_19495]) ).
cnf(c_87167,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_87107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE062+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 12:02:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 20.91/3.70 % SZS status Started for theBenchmark.p
% 20.91/3.70 % SZS status Theorem for theBenchmark.p
% 20.91/3.70
% 20.91/3.70 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 20.91/3.70
% 20.91/3.70 ------ iProver source info
% 20.91/3.70
% 20.91/3.70 git: date: 2023-05-31 18:12:56 +0000
% 20.91/3.70 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 20.91/3.70 git: non_committed_changes: false
% 20.91/3.70 git: last_make_outside_of_git: false
% 20.91/3.70
% 20.91/3.70 ------ Parsing...
% 20.91/3.70 ------ Clausification by vclausify_rel & Parsing by iProver...
% 20.91/3.70
% 20.91/3.70 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 20.91/3.70
% 20.91/3.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.91/3.70
% 20.91/3.70 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.91/3.70 ------ Proving...
% 20.91/3.70 ------ Problem Properties
% 20.91/3.70
% 20.91/3.70
% 20.91/3.70 clauses 17
% 20.91/3.70 conjectures 1
% 20.91/3.70 EPR 0
% 20.91/3.70 Horn 17
% 20.91/3.70 unary 17
% 20.91/3.70 binary 0
% 20.91/3.70 lits 17
% 20.91/3.70 lits eq 17
% 20.91/3.70 fd_pure 0
% 20.91/3.70 fd_pseudo 0
% 20.91/3.70 fd_cond 0
% 20.91/3.70 fd_pseudo_cond 0
% 20.91/3.70 AC symbols 1
% 20.91/3.70
% 20.91/3.70 ------ Schedule UEQ
% 20.91/3.70
% 20.91/3.70 ------ Option_UEQ Time Limit: 10.
% 20.91/3.70
% 20.91/3.70
% 20.91/3.70 ------
% 20.91/3.70 Current options:
% 20.91/3.70 ------
% 20.91/3.70
% 20.91/3.70
% 20.91/3.70
% 20.91/3.70
% 20.91/3.70 ------ Proving...
% 20.91/3.70
% 20.91/3.70
% 20.91/3.70 % SZS status Theorem for theBenchmark.p
% 20.91/3.70
% 20.91/3.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.91/3.70
% 20.91/3.70
%------------------------------------------------------------------------------