TSTP Solution File: LCL748-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL748-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Sun May  5 07:52:54 EDT 2024

% Result   : Unsatisfiable 0.17s 0.37s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f914,plain,
    $false,
    inference(resolution,[],[f912,f344]) ).

fof(f344,axiom,
    ! [X15] : c_InductTermi_OIT(c_Lambda_Olift(v_r,X15)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f912,plain,
    ~ c_InductTermi_OIT(c_Lambda_Olift(v_r,c_Suc(v_ia))),
    inference(resolution,[],[f755,f345]) ).

fof(f345,axiom,
    ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f755,plain,
    ! [X0,X1] :
      ( c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(X0),X1))
      | ~ c_InductTermi_OIT(c_Lambda_Olift(X0,c_Suc(X1))) ),
    inference(superposition,[],[f339,f374]) ).

fof(f374,plain,
    ! [X16,X17] : c_Lambda_Olift(c_Lambda_OdB_OAbs(X16),X17) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X16,c_Suc(X17))),
    inference(forward_demodulation,[],[f332,f307]) ).

fof(f307,axiom,
    ! [X5] : c_Suc(X5) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).

fof(f332,axiom,
    ! [X16,X17] : c_Lambda_Olift(c_Lambda_OdB_OAbs(X16),X17) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X16,c_HOL_Oplus__class_Oplus(X17,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift_Osimps_I3_J_0) ).

fof(f339,axiom,
    ! [X24] :
      ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X24))
      | ~ c_InductTermi_OIT(X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Lambda_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : LCL748-1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n007.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 13:37:35 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  % (30195)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.35  % (30198)WARNING: value z3 for option sas not known
% 0.17/0.35  % (30197)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35  % (30196)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.35  % (30201)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.17/0.35  % (30199)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.35  % (30200)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.17/0.35  % (30202)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.17/0.35  % (30198)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.37  % (30201)First to succeed.
% 0.17/0.37  % (30201)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30195"
% 0.17/0.37  % (30201)Refutation found. Thanks to Tanya!
% 0.17/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.37  % (30201)------------------------------
% 0.17/0.37  % (30201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.37  % (30201)Termination reason: Refutation
% 0.17/0.37  
% 0.17/0.37  % (30201)Memory used [KB]: 1364
% 0.17/0.37  % (30201)Time elapsed: 0.022 s
% 0.17/0.37  % (30201)Instructions burned: 37 (million)
% 0.17/0.37  % (30195)Success in time 0.05 s
%------------------------------------------------------------------------------