↑ Up

iProver---3.9.4.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN353-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n001.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 03:39:49 PM UTC 2026

% Result   : Unsatisfiable 0.44s 1.29s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   86 (  10 unt;   0 def)
%            Number of atoms       :  222 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  221 (  85   ~; 136   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-3 aty)
%            Number of variables   :  191 (   0 sgn 191   !;   0   ?; 155   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X2,X0,X1] :
      ( f(X2,X0,X1)
      | f(X1,X2,X0)
      | ~ f(a,a,z(X0,X1,X2))
      | ~ f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ f(X2,X1,z(X1,X2,X0))
      | f(X1,X2,X0)
      | ~ f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f3,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ f(X2,X1,z(X1,X2,X0))
      | f(X2,X0,X1)
      | ~ f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f4,negated_conjecture,
    ! [X2,X0,X1] :
      ( f(X2,X1,z(X1,X2,X0))
      | f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f6,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ f(X2,z(X2,X0,X1),X0)
      | f(X2,X0,X1)
      | ~ f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f7,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ f(X2,z(X2,X0,X1),X0)
      | f(X1,X2,X0)
      | ~ f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f8,negated_conjecture,
    ! [X2,X0,X1] :
      ( f(X2,z(X2,X0,X1),X0)
      | f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f10,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ f(z(X1,X2,X0),X2,X1)
      | f(X1,X2,X0)
      | f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

fof(f11,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ f(z(X2,X0,X1),X0,X2)
      | f(X2,X0,X1)
      | f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).

fof(f12,negated_conjecture,
    ! [X2,X0,X1] :
      ( f(z(X1,X2,X0),X2,X1)
      | ~ f(X2,X0,X1)
      | ~ f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).

fof(f13,negated_conjecture,
    ! [X2,X0,X1] :
      ( f(z(X0,X1,X2),X1,X0)
      | ~ f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

fof(f17,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2))
      | ~ f(X2,X0,X1)
      | ~ f(X1,X2,X0)
      | ~ f(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).

tcf(c_66,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X0,X1)
      | f(X1,X2,X0)
      | ~ f(X0,X1,X2)
      | ~ f(a,a,z(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_67,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X1,X0,X2)
      | ~ f(X2,X1,X0)
      | ~ f(X0,X1,z(X1,X0,X2)) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_68,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X0,X2,X1)
      | ~ f(X2,X1,X0)
      | ~ f(X0,X1,z(X1,X0,X2)) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_69,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X1,X0)
      | f(X0,X1,z(X1,X0,X2)) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_71,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X0,X1,X2)
      | ~ f(X1,X2,X0)
      | ~ f(X0,z(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_72,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X0,X1)
      | ~ f(X1,X2,X0)
      | ~ f(X0,z(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_73,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X1,X2,X0)
      | f(X0,z(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_75,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X0,X1)
      | f(X0,X1,X2)
      | ~ f(z(X0,X1,X2),X1,X0) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_76,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X1,X2,X0)
      | f(X0,X1,X2)
      | ~ f(z(X0,X1,X2),X1,X0) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_77,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(z(X1,X2,X0),X2,X1)
      | ~ f(X2,X0,X1)
      | ~ f(X0,X1,X2) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_78,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(z(X0,X1,X2),X1,X0)
      | ~ f(X0,X1,X2) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_82,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ f(X2,X0,X1)
      | ~ f(X1,X2,X0)
      | ~ f(X0,X1,X2)
      | ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(z(X1,X2,X0),X2,X1)
      | ~ f(X2,X0,X1)
      | ~ f(X0,X1,X2) ),
    inference(demodulation,[status(thm)],[c_77]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ f(X2,X0,X1)
      | ~ f(X1,X2,X0)
      | ~ f(X0,X1,X2)
      | ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)) ),
    inference(demodulation,[status(thm)],[c_82]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(z(X0,X1,X2),X1,X0)
      | ~ f(X0,X1,X2) ),
    inference(demodulation,[status(thm)],[c_78]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X1,X2,X0)
      | f(X0,X1,X2)
      | ~ f(z(X0,X1,X2),X1,X0) ),
    inference(demodulation,[status(thm)],[c_76]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X0,X1)
      | f(X0,X1,X2)
      | ~ f(z(X0,X1,X2),X1,X0) ),
    inference(demodulation,[status(thm)],[c_75]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X1,X2,X0)
      | f(X0,z(X0,X1,X2),X1) ),
    inference(demodulation,[status(thm)],[c_73]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X0,X1)
      | ~ f(X1,X2,X0)
      | ~ f(X0,z(X0,X1,X2),X1) ),
    inference(demodulation,[status(thm)],[c_72]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X0,X1,X2)
      | ~ f(X1,X2,X0)
      | ~ f(X0,z(X0,X1,X2),X1) ),
    inference(demodulation,[status(thm)],[c_71]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X1,X0)
      | f(X0,X1,z(X1,X0,X2)) ),
    inference(demodulation,[status(thm)],[c_69]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X0,X2,X1)
      | ~ f(X2,X1,X0)
      | ~ f(X0,X1,z(X1,X0,X2)) ),
    inference(demodulation,[status(thm)],[c_68]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X1,X0,X2)
      | ~ f(X2,X1,X0)
      | ~ f(X0,X1,z(X1,X0,X2)) ),
    inference(demodulation,[status(thm)],[c_67]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X0,X1)
      | f(X1,X2,X0)
      | ~ f(X0,X1,X2)
      | ~ f(a,a,z(X0,X1,X2)) ),
    inference(demodulation,[status(thm)],[c_66]) ).

tcf(c_672,plain,
    ! [X0: $i] :
      ( f(a,X0,a)
      | f(X0,a,a)
      | ~ f(a,a,X0) ),
    inference(superposition,[status(thm)],[c_198,c_201]) ).

tcf(c_685,plain,
    ! [X0: $i] :
      ( f(a,X0,a)
      | f(X0,a,a)
      | ~ f(a,a,X0) ),
    inference(superposition,[status(thm)],[c_198,c_201]) ).

tcf(c_696,plain,
    ! [X0: $i] :
      ( f(X0,a,a)
      | f(a,z(a,a,X0),a)
      | f(z(a,a,X0),a,a) ),
    inference(superposition,[status(thm)],[c_198,c_672]) ).

tcf(c_711,plain,
    ! [X0: $i] :
      ( f(X0,a,a)
      | f(a,z(a,a,X0),a)
      | f(z(a,a,X0),a,a) ),
    inference(superposition,[status(thm)],[c_198,c_685]) ).

tcf(c_751,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(X0,a,a)
      | f(a,z(a,a,X0),a) ),
    inference(superposition,[status(thm)],[c_696,c_192]) ).

tcf(c_766,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(X0,a,a)
      | f(a,z(a,a,X0),a) ),
    inference(superposition,[status(thm)],[c_711,c_192]) ).

tcf(c_821,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(X0,a,a)
      | ~ f(a,X0,a) ),
    inference(superposition,[status(thm)],[c_751,c_196]) ).

tcf(c_832,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(X0,a,a)
      | ~ f(a,X0,a) ),
    inference(superposition,[status(thm)],[c_766,c_196]) ).

tcf(c_864,plain,
    ! [X0: $i] :
      ( f(a,X0,a)
      | f(a,a,z(a,a,X0))
      | f(z(a,a,X0),a,a) ),
    inference(superposition,[status(thm)],[c_194,c_821]) ).

tcf(c_884,plain,
    ! [X0: $i] :
      ( f(a,X0,a)
      | f(a,a,z(a,a,X0))
      | f(z(a,a,X0),a,a) ),
    inference(superposition,[status(thm)],[c_194,c_832]) ).

tcf(c_980,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(a,X0,a)
      | f(a,a,z(a,a,X0)) ),
    inference(superposition,[status(thm)],[c_864,c_191]) ).

tcf(c_994,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(a,X0,a)
      | f(X0,a,a)
      | f(a,a,z(a,a,X0)) ),
    inference(superposition,[status(thm)],[c_884,c_192]) ).

tcf(c_1082,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(a,X0,a)
      | ~ f(X0,a,a) ),
    inference(superposition,[status(thm)],[c_980,c_200]) ).

tcf(c_1144,plain,
    ! [X0: $i] :
      ( f(a,a,z(a,a,X0))
      | f(a,z(a,a,X0),a)
      | ~ f(a,a,X0) ),
    inference(superposition,[status(thm)],[c_190,c_1082]) ).

tcf(c_1145,plain,
    ! [X0: $i] :
      ( f(a,a,z(a,a,X0))
      | f(a,z(a,a,X0),a)
      | ~ f(a,X0,a)
      | ~ f(X0,a,a) ),
    inference(superposition,[status(thm)],[c_185,c_1082]) ).

tcf(c_1146,plain,
    ! [X0: $i] :
      ( f(a,X0,a)
      | f(a,a,z(a,a,X0))
      | f(a,z(a,a,X0),a) ),
    inference(superposition,[status(thm)],[c_864,c_1082]) ).

tcf(c_1147,plain,
    ! [X0: $i] :
      ( f(X0,a,a)
      | f(a,a,z(a,a,X0))
      | f(a,z(a,a,X0),a) ),
    inference(superposition,[status(thm)],[c_696,c_1082]) ).

tcf(c_1261,plain,
    ! [X0: $i] :
      ( f(a,a,z(a,a,X0))
      | f(a,z(a,a,X0),a) ),
    inference(global_subsumption_just,[status(thm)],[c_1144,c_1147,c_1146,c_1145]) ).

tcf(c_1268,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(a,a,z(a,a,X0))
      | ~ f(a,X0,a) ),
    inference(superposition,[status(thm)],[c_1261,c_196]) ).

tcf(c_1282,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(a,a,z(a,a,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_994,c_980,c_1268]) ).

tcf(c_1289,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | ~ f(X0,a,a) ),
    inference(superposition,[status(thm)],[c_1282,c_200]) ).

tcf(c_1297,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(a,a,z(a,a,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_1268,c_1282]) ).

tcf(c_1304,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | ~ f(X0,a,a) ),
    inference(superposition,[status(thm)],[c_1297,c_200]) ).

tcf(c_1316,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | ~ f(a,X0,a) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_821,c_1304]) ).

tcf(c_1381,plain,
    ! [X0: $i] : f(a,a,z(a,a,X0)),
    inference(backward_subsumption_resolution,[status(thm)],[c_1261,c_1316]) ).

tcf(c_1393,plain,
    ! [X0: $i] :
      ( f(a,X0,a)
      | ~ f(X0,a,a) ),
    inference(superposition,[status(thm)],[c_1381,c_199]) ).

tcf(c_1404,plain,
    ! [X0: $i] :
      ( f(a,X0,a)
      | ~ f(a,a,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_672,c_1393]) ).

tcf(c_1420,plain,
    ! [X0: $i] : f(a,z(a,a,X0),a),
    inference(superposition,[status(thm)],[c_1381,c_1404]) ).

tcf(c_1435,plain,
    ! [X0: $i] :
      ( f(X0,a,a)
      | ~ f(a,X0,a) ),
    inference(superposition,[status(thm)],[c_1420,c_195]) ).

tcf(c_1445,plain,
    ! [X0: $i] : f(z(a,a,X0),a,a),
    inference(superposition,[status(thm)],[c_1420,c_1435]) ).

tcf(c_1447,plain,
    ! [X0: $i] :
      ( f(a,a,X0)
      | f(X0,a,a) ),
    inference(superposition,[status(thm)],[c_1445,c_192]) ).

tcf(c_1456,plain,
    ! [X0: $i] : f(a,a,X0),
    inference(global_subsumption_just,[status(thm)],[c_1447,c_1289,c_1447]) ).

tcf(c_1459,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X0,X1)
      | f(X1,X2,X0)
      | ~ f(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_201,c_1456]) ).

tcf(c_1477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X0,X1)
      | f(X0,z(X0,X1,X2),X1)
      | f(z(X0,X1,X2),X1,X0) ),
    inference(superposition,[status(thm)],[c_198,c_1459]) ).

tcf(c_1484,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X1,z(X1,X2,X0))
      | f(X1,z(X1,X2,X0),X2)
      | ~ f(X2,X0,X1)
      | ~ f(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_185,c_1459]) ).

tcf(c_1516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X0,X1)
      | f(X0,X1,X2)
      | f(X0,z(X0,X1,X2),X1) ),
    inference(superposition,[status(thm)],[c_1477,c_192]) ).

tcf(c_1705,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X1,X0,z(X0,X1,X2))
      | f(X0,z(X0,X1,X2),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1484,c_194,c_198]) ).

tcf(c_1713,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X1,X2,X0)
      | f(X1,z(X1,X2,X0),X2)
      | ~ f(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_1705,c_200]) ).

tcf(c_1737,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X0,X1,X2)
      | f(X0,z(X0,X1,X2),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1713,c_1516]) ).

tcf(c_1744,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X2,X0,X1)
      | ~ f(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_196,c_1737]) ).

tcf(c_1757,plain,
    ! [X0: $i,X1: $i,X2: $i] : f(X0,X1,z(X1,X0,X2)),
    inference(backward_subsumption_resolution,[status(thm)],[c_1705,c_1744]) ).

tcf(c_1759,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X0,X1,X2)
      | ~ f(z(X0,X1,X2),X1,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_191,c_1744]) ).

tcf(c_1760,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ f(X1,X2,X0)
      | ~ f(X0,X1,X2)
      | ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_186,c_1744]) ).

tcf(c_1772,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( f(X1,X2,X0)
      | ~ f(X0,X1,X2) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_200,c_1757]) ).

tcf(c_1775,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ f(X0,X1,X2)
      | ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1760,c_1772]) ).

tcf(c_1789,plain,
    ! [X0: $i,X1: $i,X2: $i] : f(z(X0,X1,X2),X1,X0),
    inference(superposition,[status(thm)],[c_1757,c_1744]) ).

tcf(c_1793,plain,
    ! [X0: $i,X1: $i,X2: $i] : f(X1,X2,X0),
    inference(global_subsumption_just,[status(thm)],[c_1772,c_1772,c_1759,c_1789]) ).

tcf(c_1794,plain,
    ! [X0: $i,X1: $i,X2: $i] : f(X0,X1,X2),
    inference(renaming,[status(thm)],[c_1793]) ).

tcf(c_1809,plain,
    ! [X0: $i,X1: $i,X2: $i] : ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2)),
    inference(global_subsumption_just,[status(thm)],[c_1775,c_1759,c_1775,c_1789]) ).

tcf(c_1812,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1809,c_1794]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN353-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.36  % Computer : n001.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8046.5625MB
% 0.13/0.36  % OS       : Linux 6.8.0-71-generic
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.03/0.36  % DateTime : Fri Sep 25 01:03:24 UTC 2026
% 0.03/0.36  % CPUTime  : 
% 0.03/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.41  Running first-order theorem proving
% 0.03/0.41  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
% 0.03/0.42  
% 0.03/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.42  
% 0.03/0.42  % Detected problem language: tptp
% 0.03/0.43  % Proving...
% 0.44/1.29  % SZS status Started for theBenchmark.p
% 0.44/1.29  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.29  
% 0.44/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.44/1.29  
% 0.44/1.29  % ------  iProver source info
% 0.44/1.29  
% 0.44/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 0.44/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.44/1.29  % git: non_committed_changes: false
% 0.44/1.29  
% 0.44/1.29  % ------ Parsing...% successful
% 0.44/1.29  
% 0.44/1.29  
% 0.44/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 0.44/1.29  
% 0.44/1.29  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 0.44/1.29  
% 0.44/1.29  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.44/1.29  % ------ Proving...
% 0.44/1.29  % ------ Problem Properties 
% 0.44/1.29  
% 0.44/1.29  % 
% 0.44/1.29  % clauses                               17
% 0.44/1.29  % conjectures                           17
% 0.44/1.29  % EPR                                   0
% 0.44/1.29  % Horn                                  9
% 0.44/1.29  % unary                                 0
% 0.44/1.29  % binary                                6
% 0.44/1.29  % lits                                  47
% 0.44/1.29  % lits eq                               0
% 0.44/1.29  % fd_pure                               0
% 0.44/1.29  % fd_pseudo                             0
% 0.44/1.29  % fd_cond                               0
% 0.44/1.29  % fd_pseudo_cond                        0
% 0.44/1.29  % AC symbols                            0
% 0.44/1.29  
% 0.44/1.29  % ------ Schedule dynamic 5 is on 
% 0.44/1.29  
% 0.44/1.29  % ------ no equalities: superposition off 
% 0.44/1.29  
% 0.44/1.29  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.29  
% 0.44/1.29  
% 0.44/1.29  % ------ 
% 0.44/1.29  % Current options:
% 0.44/1.29  % ------ 
% 0.44/1.29  
% 0.44/1.29  
% 0.44/1.29  % 
% 0.44/1.29  
% 0.44/1.29  % ------ Proving...
% 0.44/1.29  % 
% 0.44/1.29  
% 0.44/1.29  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.29  
% 0.44/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.29  
% 0.44/1.29  
%------------------------------------------------------------------------------