%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN596-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n027.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  : 600s
% DateTime : Thu Jul 21 12:23:06 EDT 2022

% Result   : Unsatisfiable 2.56s 2.74s
% Output   : Refutation 2.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  13 RR)
%            Number of literals    :   22 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    p10(u,u),
    file('SYN596-1.p',unknown),
    [] ).

cnf(4,axiom,
    p2(u,u),
    file('SYN596-1.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ p10(u,v)
    | ~ p10(u,w)
    | p10(w,v) ),
    file('SYN596-1.p',unknown),
    [] ).

cnf(20,axiom,
    p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
    file('SYN596-1.p',unknown),
    [] ).

cnf(21,axiom,
    ~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
    file('SYN596-1.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ p10(u,v)
    | ~ p2(w,x)
    | ~ p18(w,u)
    | p18(x,v) ),
    file('SYN596-1.p',unknown),
    [] ).

cnf(28,axiom,
    p10(f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
    file('SYN596-1.p',unknown),
    [] ).

cnf(33,plain,
    ( ~ p10(u,v)
    | p10(v,u) ),
    inference(res,[status(thm),theory(equality)],[1,15]),
    [iquote('0:Res:1.0,15.0')] ).

cnf(125,plain,
    p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
    inference(res,[status(thm),theory(equality)],[28,33]),
    [iquote('0:Res:28.0,33.0')] ).

cnf(636,plain,
    ( ~ p2(u,v)
    | ~ p18(u,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24))
    | p18(v,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ),
    inference(res,[status(thm),theory(equality)],[125,23]),
    [iquote('0:Res:125.0,23.0')] ).

cnf(4218,plain,
    ( ~ p2(c20,u)
    | p18(u,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) ),
    inference(res,[status(thm),theory(equality)],[20,636]),
    [iquote('0:Res:20.0,636.1')] ).

cnf(4945,plain,
    ~ p2(c20,c20),
    inference(res,[status(thm),theory(equality)],[4218,21]),
    [iquote('0:Res:4218.1,21.0')] ).

cnf(4951,plain,
    $false,
    inference(mrr,[status(thm)],[4945,4]),
    [iquote('0:MRR:4945.0,4.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN596-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 17:34:34 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 2.56/2.74  
% 2.56/2.74  SPASS V 3.9 
% 2.56/2.74  SPASS beiseite: Proof found.
% 2.56/2.74  % SZS status Theorem
% 2.56/2.74  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 2.56/2.74  SPASS derived 4916 clauses, backtracked 0 clauses, performed 0 splits and kept 2365 clauses.
% 2.56/2.74  SPASS allocated 67109 KBytes.
% 2.56/2.74  SPASS spent	0:00:02.35 on the problem.
% 2.56/2.74  		0:00:00.04 for the input.
% 2.56/2.74  		0:00:00.00 for the FLOTTER CNF translation.
% 2.56/2.74  		0:00:00.06 for inferences.
% 2.56/2.74  		0:00:00.00 for the backtracking.
% 2.56/2.74  		0:00:02.21 for the reduction.
% 2.56/2.74  
% 2.56/2.74  
% 2.56/2.74  Here is a proof with depth 5, length 13 :
% 2.56/2.74  % SZS output start Refutation
% See solution above
% 2.56/2.74  Formulae used in the proof : p10_1 p2_4 p10_15 p18_20 not_p18_21 p18_23 p10_28
% 2.56/2.74  
%------------------------------------------------------------------------------