TSTP Solution File: LCL436-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL436-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n031.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 : Tue Apr 30 13:42:14 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    5 (   4 unt;   0 def)
%            Number of atoms       :    6 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,plain,
    $false,
    inference(resolution,[],[f2,f4]) ).

fof(f4,plain,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,[],[f1,f3]) ).

fof(f3,axiom,
    ! [X3,X0,X1,X4] :
      ( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
      | ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).

fof(f1,axiom,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OS_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : LCL436-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n031.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    : 300
% 0.13/0.34  % DateTime   : Mon Apr 29 23:37:28 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (8546)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (8547)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (8549)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.36  % (8550)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36  % (8551)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36  % (8548)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36  % (8549)First to succeed.
% 0.13/0.36  % (8553)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36  % (8552)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36  TRYING [1]
% 0.13/0.36  % (8551)Also succeeded, but the first one will report.
% 0.13/0.36  Detected minimum model sizes of [1,1,1]
% 0.13/0.36  Detected maximum model sizes of [max,1,1]
% 0.13/0.36  TRYING [1,1,1]
% 0.13/0.36  TRYING [2]
% 0.13/0.36  TRYING [2,1,1]
% 0.13/0.36  Detected minimum model sizes of [1,1,1]
% 0.13/0.36  Detected maximum model sizes of [max,1,1]
% 0.13/0.36  % (8552)Also succeeded, but the first one will report.
% 0.13/0.36  % (8549)Refutation found. Thanks to Tanya!
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36  % (8549)------------------------------
% 0.13/0.36  % (8549)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.36  % (8549)Termination reason: Refutation
% 0.13/0.36  
% 0.13/0.36  % (8549)Memory used [KB]: 733
% 0.13/0.36  % (8549)Time elapsed: 0.002 s
% 0.13/0.36  % (8549)Instructions burned: 2 (million)
% 0.13/0.36  % (8549)------------------------------
% 0.13/0.36  % (8549)------------------------------
% 0.13/0.36  % (8546)Success in time 0.016 s
%------------------------------------------------------------------------------