↑ Up

iProver---3.9.4.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP492-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n020.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 01:34:24 PM UTC 2026

% Result   : Unsatisfiable 4.17s 1.28s
% Output   : CNFRefutation 4.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   78 (  78 unt;   0 def)
%            Number of atoms       :   78 (  77 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   10 (   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    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  111 (   0 sgn 111   !;   0   ?; 103   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

fof(f5,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).

fof(f6,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f7,plain,
    double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
    inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,X1),identity),double_divide(X2,X1)))) = X2,
    inference(cnf_transformation,[],[f1]) ).

tcf(c_55,plain,
    ! [X0: $i] : double_divide(X0,double_divide(X0,identity)) = identity,
    inference(cnf_transformation,[],[f6]) ).

tcf(c_56,negated_conjecture,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X3,X2)))),identity),X3))) = double_divide(identity,X1),
    inference(superposition,[status(thm)],[c_54,c_54]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),X0),identity),double_divide(X1,X0)))) = X1,
    inference(superposition,[status(thm)],[c_55,c_54]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,double_divide(X0,identity))))) = X1,
    inference(superposition,[status(thm)],[c_55,c_54]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),identity),identity))) = X1,
    inference(superposition,[status(thm)],[c_55,c_54]) ).

tcf(c_69,plain,
    ! [X0: $i] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = double_divide(double_divide(X0,identity),identity),
    inference(superposition,[status(thm)],[c_55,c_54]) ).

tcf(c_76,plain,
    double_divide(double_divide(double_divide(identity,identity),identity),identity) = identity,
    inference(superposition,[status(thm)],[c_55,c_69]) ).

tcf(c_97,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),double_divide(identity,identity)),identity),double_divide(double_divide(X0,identity),identity)))) = double_divide(identity,X0),
    inference(superposition,[status(thm)],[c_69,c_66]) ).

tcf(c_103,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,double_divide(double_divide(identity,identity),identity))))) = X0,
    inference(superposition,[status(thm)],[c_55,c_67]) ).

tcf(c_110,plain,
    ! [X0: $i,X1: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,double_divide(identity,identity)))))))) = X1,
    inference(superposition,[status(thm)],[c_67,c_66]) ).

tcf(c_111,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity),identity))) = X0,
    inference(superposition,[status(thm)],[c_55,c_68]) ).

tcf(c_113,plain,
    ! [X0: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(identity,identity),identity))) = X0,
    inference(superposition,[status(thm)],[c_55,c_68]) ).

tcf(c_119,plain,
    ! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),identity)),double_divide(identity,X0)) = identity,
    inference(superposition,[status(thm)],[c_68,c_67]) ).

tcf(c_148,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,double_divide(double_divide(X1,identity),X1))) = double_divide(identity,X0),
    inference(superposition,[status(thm)],[c_54,c_65]) ).

tcf(c_149,plain,
    ! [X0: $i] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,identity),X0))) = double_divide(identity,double_divide(identity,identity)),
    inference(superposition,[status(thm)],[c_66,c_65]) ).

tcf(c_177,plain,
    ! [X0: $i] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(X0,identity),X0))) = identity,
    inference(demodulation,[status(thm)],[c_149,c_55]) ).

tcf(c_179,plain,
    ! [X0: $i] : double_divide(X0,identity) = double_divide(identity,X0),
    inference(demodulation,[status(thm)],[c_97,c_66,c_69]) ).

tcf(c_228,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,X1)))) = X2,
    inference(demodulation,[status(thm)],[c_54,c_179]) ).

tcf(c_229,plain,
    ! [X0: $i] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = double_divide(identity,double_divide(X0,identity)),
    inference(demodulation,[status(thm)],[c_69,c_179]) ).

tcf(c_230,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(identity,double_divide(b3,a3))),identity),
    inference(demodulation,[status(thm)],[c_56,c_179]) ).

tcf(c_233,plain,
    ! [X0: $i,X1: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X0)),double_divide(X1,X0)))) = X1,
    inference(demodulation,[status(thm)],[c_66,c_179]) ).

tcf(c_234,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),identity))) = X1,
    inference(demodulation,[status(thm)],[c_68,c_179]) ).

tcf(c_235,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,double_divide(X1,identity)))))) = X1,
    inference(demodulation,[status(thm)],[c_234,c_179]) ).

tcf(c_237,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
    inference(demodulation,[status(thm)],[c_230,c_179]) ).

tcf(c_307,plain,
    ! [X0: $i] : double_divide(X0,double_divide(identity,X0)) = identity,
    inference(superposition,[status(thm)],[c_179,c_55]) ).

tcf(c_469,plain,
    ! [X0: $i] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,X0),X0))) = identity,
    inference(superposition,[status(thm)],[c_179,c_177]) ).

tcf(c_488,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,double_divide(identity,double_divide(identity,identity)))))) = X0,
    inference(superposition,[status(thm)],[c_179,c_103]) ).

tcf(c_493,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)))) = X0,
    inference(superposition,[status(thm)],[c_179,c_111]) ).

tcf(c_497,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,identity),double_divide(identity,X0)),identity),identity))) = X0,
    inference(superposition,[status(thm)],[c_179,c_111]) ).

tcf(c_512,plain,
    ! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,double_divide(identity,double_divide(double_divide(identity,identity),identity)))) = double_divide(identity,X0),
    inference(superposition,[status(thm)],[c_76,c_148]) ).

tcf(c_521,plain,
    ! [X0: $i] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),X0)))) = identity,
    inference(superposition,[status(thm)],[c_148,c_228]) ).

tcf(c_523,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,identity),double_divide(identity,double_divide(X0,double_divide(X1,double_divide(double_divide(identity,identity),double_divide(X0,double_divide(double_divide(identity,identity),identity))))))) = X1,
    inference(superposition,[status(thm)],[c_103,c_228]) ).

tcf(c_529,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(X1,double_divide(identity,identity))))) = X1,
    inference(superposition,[status(thm)],[c_229,c_228]) ).

tcf(c_534,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,identity)),identity))),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X1,double_divide(identity,X0))))) = X1,
    inference(superposition,[status(thm)],[c_119,c_228]) ).

tcf(c_536,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(double_divide(identity,identity),double_divide(X0,double_divide(identity,double_divide(double_divide(X1,identity),X1)))))) = X0,
    inference(superposition,[status(thm)],[c_177,c_228]) ).

tcf(c_547,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(identity,double_divide(X0,double_divide(identity,X1))),identity))) = double_divide(identity,double_divide(double_divide(identity,double_divide(X1,identity)),identity)),
    inference(superposition,[status(thm)],[c_119,c_228]) ).

tcf(c_571,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(identity,identity),identity)))),X0))) = double_divide(identity,X0),
    inference(superposition,[status(thm)],[c_113,c_233]) ).

tcf(c_593,plain,
    ! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,identity),identity))),double_divide(identity,X0)) = X0,
    inference(superposition,[status(thm)],[c_233,c_235]) ).

tcf(c_704,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),X0))) = double_divide(identity,identity),
    inference(superposition,[status(thm)],[c_67,c_110]) ).

tcf(c_741,plain,
    ! [X0: $i] : double_divide(double_divide(identity,identity),double_divide(identity,X0)) = X0,
    inference(demodulation,[status(thm)],[c_593,c_704]) ).

tcf(c_742,plain,
    ! [X0: $i] : double_divide(identity,double_divide(double_divide(X0,identity),X0)) = identity,
    inference(demodulation,[status(thm)],[c_521,c_741]) ).

tcf(c_755,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0,
    inference(demodulation,[status(thm)],[c_497,c_741]) ).

tcf(c_756,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(X0,identity)))) = X0,
    inference(demodulation,[status(thm)],[c_755,c_179]) ).

tcf(c_757,plain,
    ! [X0: $i] : double_divide(double_divide(identity,identity),double_divide(X0,identity)) = X0,
    inference(demodulation,[status(thm)],[c_493,c_756]) ).

tcf(c_758,plain,
    ! [X0: $i] : double_divide(identity,double_divide(identity,X0)) = X0,
    inference(demodulation,[status(thm)],[c_488,c_307,c_757]) ).

tcf(c_784,plain,
    ! [X0: $i] : double_divide(X0,double_divide(identity,identity)) = double_divide(identity,X0),
    inference(demodulation,[status(thm)],[c_512,c_704,c_758]) ).

tcf(c_812,plain,
    ! [X0: $i] : double_divide(double_divide(identity,identity),X0) = double_divide(identity,X0),
    inference(demodulation,[status(thm)],[c_571,c_469,c_758]) ).

tcf(c_818,plain,
    ! [X0: $i] : double_divide(identity,double_divide(X0,identity)) = X0,
    inference(demodulation,[status(thm)],[c_536,c_742,c_758,c_812]) ).

tcf(c_820,plain,
    ! [X0: $i,X1: $i] : double_divide(X0,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,X1)))) = X1,
    inference(demodulation,[status(thm)],[c_529,c_758,c_784]) ).

tcf(c_823,plain,
    ! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
    inference(demodulation,[status(thm)],[c_523,c_741,c_758,c_784,c_812]) ).

tcf(c_846,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,double_divide(identity,X1)))) = X1,
    inference(demodulation,[status(thm)],[c_547,c_818]) ).

tcf(c_847,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(X0,identity),double_divide(X1,double_divide(identity,X0))) = X1,
    inference(demodulation,[status(thm)],[c_534,c_758,c_812,c_818]) ).

tcf(c_1823,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
    inference(superposition,[status(thm)],[c_823,c_823]) ).

tcf(c_1945,plain,
    ! [X0: $i,X1: $i] : double_divide(X0,double_divide(identity,double_divide(double_divide(X0,identity),X1))) = double_divide(identity,X1),
    inference(superposition,[status(thm)],[c_758,c_820]) ).

tcf(c_1949,plain,
    ! [X0: $i,X1: $i] : double_divide(X0,double_divide(identity,double_divide(double_divide(X0,identity),X1))) = double_divide(X1,identity),
    inference(superposition,[status(thm)],[c_823,c_820]) ).

tcf(c_1977,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,X1)) = double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,X2)),
    inference(superposition,[status(thm)],[c_228,c_846]) ).

tcf(c_1988,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,X1))) = double_divide(identity,X1),
    inference(superposition,[status(thm)],[c_758,c_846]) ).

tcf(c_2166,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,X1)) = double_divide(X0,double_divide(identity,X2)),
    inference(demodulation,[status(thm)],[c_1977,c_758]) ).

tcf(c_2295,plain,
    ! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(X0,identity),X1)) = double_divide(double_divide(identity,X1),X0),
    inference(superposition,[status(thm)],[c_1945,c_1823]) ).

tcf(c_2315,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(identity,X1)),identity) = double_divide(X1,double_divide(identity,X0)),
    inference(superposition,[status(thm)],[c_847,c_1949]) ).

tcf(c_2476,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X1,identity))) = double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),X1))),
    inference(superposition,[status(thm)],[c_1949,c_1988]) ).

tcf(c_2481,plain,
    ! [X0: $i,X1: $i] : double_divide(double_divide(identity,X0),double_divide(identity,X1)) = double_divide(identity,double_divide(X1,X0)),
    inference(superposition,[status(thm)],[c_1988,c_1823]) ).

tcf(c_2519,plain,
    ! [X0: $i,X1: $i] : double_divide(identity,double_divide(X0,double_divide(identity,X1))) = double_divide(X1,double_divide(identity,X0)),
    inference(demodulation,[status(thm)],[c_2315,c_179]) ).

tcf(c_2599,plain,
    ! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(identity,X0),X1)) = double_divide(double_divide(identity,X1),X0),
    inference(demodulation,[status(thm)],[c_2476,c_2295,c_2481]) ).

tcf(c_2644,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3)),
    inference(demodulation,[status(thm)],[c_237,c_2519]) ).

tcf(c_2645,plain,
    double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3)),
    inference(demodulation,[status(thm)],[c_2644,c_2599]) ).

tcf(c_4464,plain,
    ! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,X1),double_divide(identity,X2)) = double_divide(double_divide(identity,X1),double_divide(X2,X0)),
    inference(superposition,[status(thm)],[c_1823,c_2166]) ).

tcf(c_4742,plain,
    double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(identity,a3),double_divide(c3,b3)),
    inference(demodulation,[status(thm)],[c_2645,c_4464]) ).

tcf(c_4743,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_4742]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP492-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n020.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Wed Sep 23 14:54:49 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40  Running UEQ theorem proving
% 0.08/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.41  
% 0.08/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41  
% 0.08/0.41  % Detected problem language: tptp
% 0.08/0.42  % Proving...
% 4.17/1.28  WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 4.17/1.28  % SZS status Started for theBenchmark.p
% 4.17/1.28  % SZS status Unsatisfiable for theBenchmark.p
% 4.17/1.28  
% 4.17/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.17/1.28  
% 4.17/1.28  % ------  iProver source info
% 4.17/1.28  
% 4.17/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.17/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.17/1.28  % git: non_committed_changes: false
% 4.17/1.28  
% 4.17/1.28  % ------ Parsing...% successful
% 4.17/1.28  
% 4.17/1.28  
% 4.17/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.17/1.28  % ------ Proving...
% 4.17/1.28  % ------ Problem Properties 
% 4.17/1.28  
% 4.17/1.28  % 
% 4.17/1.28  % clauses                               3
% 4.17/1.28  % conjectures                           1
% 4.17/1.28  % EPR                                   0
% 4.17/1.28  % Horn                                  3
% 4.17/1.28  % unary                                 3
% 4.17/1.28  % binary                                0
% 4.17/1.28  % lits                                  3
% 4.17/1.28  % lits eq                               3
% 4.17/1.28  % fd_pure                               0
% 4.17/1.28  % fd_pseudo                             0
% 4.17/1.28  % fd_cond                               0
% 4.17/1.28  % fd_pseudo_cond                        0
% 4.17/1.28  % AC symbols                            0
% 4.17/1.28  
% 4.17/1.28  % ------ Input Options Time Limit: Unbounded
% 4.17/1.28  
% 4.17/1.28  
% 4.17/1.28  % ------ 
% 4.17/1.28  % Current options:
% 4.17/1.28  % ------ 
% 4.17/1.28  
% 4.17/1.28  
% 4.17/1.28  % 
% 4.17/1.28  
% 4.17/1.28  % ------ Proving...
% 4.17/1.28  % 
% 4.17/1.28  
% 4.17/1.28  % SZS status Unsatisfiable for theBenchmark.p
% 4.17/1.28  
% 4.17/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.17/1.28  
% 4.17/1.28  
%------------------------------------------------------------------------------