↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : REL005+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:36:32 PM UTC 2026

% Result   : Theorem 121.60s 36.62s
% Output   : CNFRefutation 121.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   97 (  88 unt;   0 def)
%            Number of atoms       :  106 ( 105 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   25 (  16   ~;   7   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  137 (   0 sgn 135   !;   2   ?;  86   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).

fof(f3,axiom,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).

fof(f4,axiom,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).

fof(f5,axiom,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_associativity) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).

fof(f9,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).

fof(f10,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).

fof(f11,axiom,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).

fof(f12,axiom,
    ! [X0] : top = join(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).

fof(f13,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).

fof(f17,conjecture,
    ! [X0,X1] :
      ( join(meet(converse(X0),converse(X1)),converse(meet(X0,X1))) = converse(meet(X0,X1))
      & join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) = meet(converse(X0),converse(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1] :
        ( join(meet(converse(X0),converse(X1)),converse(meet(X0,X1))) = converse(meet(X0,X1))
        & join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) = meet(converse(X0),converse(X1)) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ? [X0,X1] :
      ( converse(meet(X0,X1)) != join(meet(converse(X0),converse(X1)),converse(meet(X0,X1)))
      | meet(converse(X0),converse(X1)) != join(converse(meet(X0,X1)),meet(converse(X0),converse(X1))) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f20,plain,
    ( converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1)))
    | meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f19]) ).

fof(f21,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f22,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[],[f2]) ).

fof(f23,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f24,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    inference(cnf_transformation,[],[f4]) ).

fof(f25,plain,
    ! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f8]) ).

fof(f29,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(cnf_transformation,[],[f9]) ).

fof(f30,plain,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(cnf_transformation,[],[f10]) ).

fof(f31,plain,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    inference(cnf_transformation,[],[f11]) ).

fof(f32,plain,
    ! [X0] : top = join(X0,complement(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f33,plain,
    ! [X0] : zero = meet(X0,complement(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f37,plain,
    ( converse(meet(sK0,sK1)) != join(meet(converse(sK0),converse(sK1)),converse(meet(sK0,sK1)))
    | meet(converse(sK0),converse(sK1)) != join(converse(meet(sK0,sK1)),meet(converse(sK0),converse(sK1))) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f38,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f33,f24]) ).

fof(f42,plain,
    ( converse(complement(join(complement(sK0),complement(sK1)))) != join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1)))))
    | complement(join(complement(converse(sK0)),complement(converse(sK1)))) != join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) ),
    inference(definition_unfolding,[],[f37,f24,f24,f24,f24,f24,f24]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f23]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i] : composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_53,plain,
    ! [X0: $i] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f26]) ).

tcf(c_55,plain,
    ! [X0: $i] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f28]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] : join(converse(X0),converse(X1)) = converse(join(X0,X1)),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] : composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_59,plain,
    ! [X0: $i] : join(X0,complement(X0)) = top,
    inference(cnf_transformation,[],[f32]) ).

tcf(c_60,plain,
    ! [X0: $i] : complement(join(complement(X0),complement(complement(X0)))) = zero,
    inference(cnf_transformation,[],[f38]) ).

tcf(c_64,negated_conjecture,
    ( ( join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1)))) )
    | ( join(complement(join(complement(converse(sK0)),complement(converse(sK1)))),converse(complement(join(complement(sK0),complement(sK1))))) != converse(complement(join(complement(sK0),complement(sK1)))) ) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_51,c_50,c_49]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_58,c_50,c_49]) ).

tcf(c_84,negated_conjecture,
    ( ( join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != converse(complement(join(complement(sK0),complement(sK1)))) )
    | ( join(converse(complement(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1)))) ) ),
    inference(theory_normalisation,[status(thm)],[c_64,c_50,c_49]) ).

tcf(c_123,plain,
    complement(top) = zero,
    inference(demodulation,[status(thm)],[c_60,c_59]) ).

tcf(c_202,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

tcf(c_214,plain,
    ! [X0: $i,X1: $i] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

tcf(c_244,plain,
    ! [X0: $i] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_59,c_80]) ).

tcf(c_250,plain,
    ! [X0: $i] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_244,c_50,c_49]) ).

tcf(c_251,plain,
    ! [X0: $i] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(demodulation,[status(thm)],[c_250,c_123]) ).

tcf(c_259,plain,
    ! [X0: $i,X1: $i] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_55,c_57]) ).

tcf(c_268,plain,
    ! [X0: $i,X1: $i] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_59,c_50]) ).

tcf(c_269,plain,
    ! [X0: $i,X1: $i,X2: $i] : join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)) = join(X0,X2),
    inference(superposition,[status(thm)],[c_80,c_50]) ).

tcf(c_277,plain,
    ! [X0: $i,X1: $i] : composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_53,c_52]) ).

tcf(c_340,plain,
    ! [X0: $i] : join(X0,converse(complement(converse(X0)))) = converse(top),
    inference(superposition,[status(thm)],[c_59,c_214]) ).

tcf(c_450,plain,
    ! [X0: $i] : join(complement(converse(top)),complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
    inference(superposition,[status(thm)],[c_340,c_80]) ).

tcf(c_1329,plain,
    ! [X0: $i] : composition(converse(one),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_53,c_259]) ).

tcf(c_1355,plain,
    ! [X0: $i] : composition(converse(one),X0) = X0,
    inference(demodulation,[status(thm)],[c_1329,c_55]) ).

tcf(c_1424,plain,
    converse(one) = one,
    inference(superposition,[status(thm)],[c_1355,c_53]) ).

tcf(c_1436,plain,
    ! [X0: $i] : composition(converse(one),X0) = composition(one,X0),
    inference(superposition,[status(thm)],[c_1355,c_277]) ).

tcf(c_1437,plain,
    ! [X0: $i] : composition(one,X0) = X0,
    inference(demodulation,[status(thm)],[c_1436,c_1355]) ).

tcf(c_1491,plain,
    ! [X0: $i] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
    inference(superposition,[status(thm)],[c_1424,c_81]) ).

tcf(c_1499,plain,
    ! [X0: $i] : join(complement(X0),complement(X0)) = complement(X0),
    inference(demodulation,[status(thm)],[c_1491,c_1437]) ).

tcf(c_1504,plain,
    ! [X0: $i] : join(zero,complement(complement(X0))) = X0,
    inference(demodulation,[status(thm)],[c_251,c_1499]) ).

tcf(c_1836,plain,
    ! [X0: $i] : join(top,complement(complement(X0))) = join(X0,top),
    inference(superposition,[status(thm)],[c_59,c_268]) ).

tcf(c_2076,plain,
    join(zero,zero) = zero,
    inference(superposition,[status(thm)],[c_123,c_1499]) ).

tcf(c_2082,plain,
    ! [X0: $i] : join(X0,complement(X0)) = join(top,complement(X0)),
    inference(superposition,[status(thm)],[c_1499,c_268]) ).

tcf(c_2092,plain,
    ! [X0: $i] : join(top,complement(X0)) = top,
    inference(demodulation,[status(thm)],[c_2082,c_59]) ).

tcf(c_2105,plain,
    ! [X0: $i] : join(X0,top) = top,
    inference(demodulation,[status(thm)],[c_1836,c_2092]) ).

tcf(c_2157,plain,
    ! [X0: $i] : join(zero,join(zero,X0)) = join(zero,X0),
    inference(superposition,[status(thm)],[c_2076,c_50]) ).

tcf(c_2170,plain,
    ! [X0: $i] : join(top,X0) = top,
    inference(superposition,[status(thm)],[c_2105,c_49]) ).

tcf(c_2198,plain,
    converse(top) = top,
    inference(superposition,[status(thm)],[c_2170,c_340]) ).

tcf(c_2545,plain,
    ! [X0: $i] : join(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_1504,c_2157]) ).

tcf(c_2554,plain,
    ! [X0: $i] : complement(complement(X0)) = X0,
    inference(demodulation,[status(thm)],[c_1504,c_2545]) ).

tcf(c_2638,plain,
    ! [X0: $i] : join(X0,X0) = X0,
    inference(superposition,[status(thm)],[c_2554,c_1499]) ).

tcf(c_2642,plain,
    ! [X0: $i,X1: $i] : join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = complement(X0),
    inference(superposition,[status(thm)],[c_2554,c_80]) ).

tcf(c_2723,plain,
    ! [X0: $i,X1: $i] : join(X0,join(X1,X0)) = join(X1,X0),
    inference(superposition,[status(thm)],[c_2638,c_202]) ).

tcf(c_10571,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
    inference(superposition,[status(thm)],[c_269,c_2723]) ).

tcf(c_10606,plain,
    ! [X0: $i,X1: $i] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),X1))),
    inference(theory_normalisation,[status(thm)],[c_10571,c_50,c_49]) ).

tcf(c_10607,plain,
    ! [X0: $i,X1: $i] : join(X0,complement(join(complement(X0),X1))) = X0,
    inference(demodulation,[status(thm)],[c_10606,c_2554,c_2642]) ).

tcf(c_11355,plain,
    ! [X0: $i,X1: $i] : join(X0,complement(join(X1,complement(X0)))) = X0,
    inference(superposition,[status(thm)],[c_2723,c_10607]) ).

tcf(c_11519,plain,
    ! [X0: $i,X1: $i] : join(X0,converse(complement(join(X1,complement(converse(X0)))))) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_11355,c_214]) ).

tcf(c_11549,plain,
    ! [X0: $i,X1: $i] : join(X0,converse(complement(join(X1,complement(converse(X0)))))) = X0,
    inference(demodulation,[status(thm)],[c_11519,c_55]) ).

tcf(c_48179,plain,
    ! [X0: $i] : join(zero,complement(join(complement(X0),complement(converse(complement(converse(complement(X0)))))))) = X0,
    inference(light_normalisation,[status(thm)],[c_450,c_123,c_2198]) ).

tcf(c_48180,plain,
    ! [X0: $i] : complement(join(complement(X0),complement(converse(complement(converse(complement(X0))))))) = X0,
    inference(demodulation,[status(thm)],[c_48179,c_2545]) ).

tcf(c_48186,plain,
    ! [X0: $i] : complement(join(X0,complement(converse(complement(converse(X0)))))) = complement(X0),
    inference(superposition,[status(thm)],[c_2554,c_48180]) ).

tcf(c_48284,plain,
    ! [X0: $i] : join(complement(converse(complement(X0))),converse(X0)) = complement(converse(complement(X0))),
    inference(superposition,[status(thm)],[c_48180,c_11549]) ).

tcf(c_48287,plain,
    ! [X0: $i] : join(converse(X0),complement(converse(complement(X0)))) = complement(converse(complement(X0))),
    inference(theory_normalisation,[status(thm)],[c_48284,c_50,c_49]) ).

tcf(c_50981,plain,
    ! [X0: $i] : complement(join(converse(X0),complement(converse(complement(X0))))) = complement(converse(X0)),
    inference(superposition,[status(thm)],[c_55,c_48186]) ).

tcf(c_51108,plain,
    ! [X0: $i] : complement(converse(X0)) = converse(complement(X0)),
    inference(demodulation,[status(thm)],[c_50981,c_2554,c_48287]) ).

tcf(c_51188,plain,
    ( ( join(complement(converse(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(converse(join(complement(sK0),complement(sK1)))) )
    | ( join(complement(converse(join(complement(sK0),complement(sK1)))),complement(join(complement(converse(sK0)),complement(converse(sK1))))) != complement(join(complement(converse(sK0)),complement(converse(sK1)))) ) ),
    inference(demodulation,[status(thm)],[c_84,c_51108]) ).

tcf(c_51237,plain,
    ! [X0: $i,X1: $i] : join(complement(converse(X0)),converse(X1)) = converse(join(complement(X0),X1)),
    inference(superposition,[status(thm)],[c_51108,c_56]) ).

tcf(c_107573,plain,
    ! [X0: $i,X1: $i] : join(complement(converse(X0)),complement(converse(X1))) = converse(join(complement(X0),complement(X1))),
    inference(superposition,[status(thm)],[c_51108,c_51237]) ).

tcf(c_107657,plain,
    join(complement(converse(join(complement(sK0),complement(sK1)))),complement(converse(join(complement(sK0),complement(sK1))))) != complement(converse(join(complement(sK0),complement(sK1)))),
    inference(demodulation,[status(thm)],[c_51188,c_107573]) ).

tcf(c_107658,plain,
    $false,
    inference(ground_joinability,[status(thm)],[c_107657,c_2638]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : REL005+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n016.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 07:11:12 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 121.60/36.62  % SZS status Started for theBenchmark.p
% 121.60/36.62  % SZS status Theorem for theBenchmark.p
% 121.60/36.62  
% 121.60/36.62  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 121.60/36.62  
% 121.60/36.62  % ------  iProver source info
% 121.60/36.62  
% 121.60/36.62  % git: date: 2026-07-19 20:42:38 +0200
% 121.60/36.62  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 121.60/36.62  % git: non_committed_changes: false
% 121.60/36.62  
% 121.60/36.62  % ------ Parsing...
% 121.60/36.62  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 121.60/36.62  
% 121.60/36.62  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 121.60/36.62  
% 121.60/36.62  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 121.60/36.62  
% 121.60/36.62  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 121.60/36.62  % ------ Proving...
% 121.60/36.62  % ------ Problem Properties 
% 121.60/36.62  
% 121.60/36.62  % 
% 121.60/36.62  % clauses                               16
% 121.60/36.62  % conjectures                           1
% 121.60/36.62  % EPR                                   0
% 121.60/36.62  % Horn                                  16
% 121.60/36.62  % unary                                 15
% 121.60/36.62  % binary                                1
% 121.60/36.62  % lits                                  17
% 121.60/36.62  % lits eq                               17
% 121.60/36.62  % fd_pure                               0
% 121.60/36.62  % fd_pseudo                             0
% 121.60/36.62  % fd_cond                               0
% 121.60/36.62  % fd_pseudo_cond                        0
% 121.60/36.62  % AC symbols                            1
% 121.60/36.62  
% 121.60/36.62  % ------ Input Options Time Limit: Unbounded
% 121.60/36.62  
% 121.60/36.62  
% 121.60/36.62  % ------ 
% 121.60/36.62  % Current options:
% 121.60/36.62  % ------ 
% 121.60/36.62  
% 121.60/36.62  
% 121.60/36.62  % 
% 121.60/36.62  
% 121.60/36.62  % ------ Proving...
% 121.60/36.62  % 
% 121.60/36.62  
% 121.60/36.62  % SZS status Theorem for theBenchmark.p
% 121.60/36.62  
% 121.60/36.62  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 121.60/36.63  
% 121.60/36.63  
%------------------------------------------------------------------------------