TSTP Solution File: SYN129-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN129-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.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 : Wed Aug 31 19:36:58 EDT 2022

% Result   : Unsatisfiable 0.13s 0.51s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   26 (   7 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   77 (  45   ~;  32   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f475,plain,
    $false,
    inference(resolution,[],[f474,f3]) ).

fof(f3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f474,plain,
    ! [X0] : ~ n0(X0,e),
    inference(resolution,[],[f473,f39]) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( k1(X2)
      | ~ n0(X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f473,plain,
    ~ k1(e),
    inference(resolution,[],[f448,f15]) ).

fof(f15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(f448,plain,
    ! [X3] :
      ( ~ n0(X3,b)
      | ~ k1(e) ),
    inference(resolution,[],[f438,f104]) ).

fof(f104,axiom,
    ! [X4,X5] :
      ( p1(X4,X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_066) ).

fof(f438,plain,
    ! [X0,X1] :
      ( ~ p1(X0,X1,b)
      | ~ k1(e) ),
    inference(resolution,[],[f431,f175]) ).

fof(f175,axiom,
    ! [X10,X11,X6] :
      ( n2(X10)
      | ~ p1(X11,X6,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).

fof(f431,plain,
    ( ~ n2(b)
    | ~ k1(e) ),
    inference(resolution,[],[f428,f7]) ).

fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f428,plain,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | ~ k1(e)
      | ~ n2(X2) ),
    inference(resolution,[],[f423,f40]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( l1(X4,X4)
      | ~ n0(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

fof(f423,plain,
    ! [X0] :
      ( ~ l1(X0,X0)
      | ~ n2(X0)
      | ~ k1(e) ),
    inference(duplicate_literal_removal,[],[f412]) ).

fof(f412,plain,
    ! [X0] :
      ( ~ l1(X0,X0)
      | ~ n2(X0)
      | ~ k1(e)
      | ~ n2(X0) ),
    inference(resolution,[],[f399,f224]) ).

fof(f224,axiom,
    ! [X4,X5] :
      ( q2(X4,X4,X5)
      | ~ l1(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_186) ).

fof(f399,plain,
    ! [X24,X25] :
      ( ~ q2(X24,X25,X25)
      | ~ n2(X25)
      | ~ k1(e)
      | ~ n2(X24) ),
    inference(resolution,[],[f384,f248]) ).

fof(f248,axiom,
    ! [X7] :
      ( k3(X7,X7,X7)
      | ~ n2(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_210) ).

fof(f384,plain,
    ! [X10,X11,X9] :
      ( ~ k3(X9,X9,X10)
      | ~ n2(X11)
      | ~ k1(e)
      | ~ q2(X11,X10,X10) ),
    inference(resolution,[],[f380,f274]) ).

fof(f274,axiom,
    ! [X10] :
      ( m3(X10,X10,X10)
      | ~ n2(X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_236) ).

fof(f380,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m3(X2,X3,X2)
      | ~ k3(X0,X0,X1)
      | ~ k1(e)
      | ~ q2(X2,X1,X1) ),
    inference(resolution,[],[f333,f374]) ).

fof(f374,plain,
    ! [X0] :
      ( ~ q4(X0,X0)
      | ~ k1(e) ),
    inference(resolution,[],[f340,f369]) ).

fof(f369,axiom,
    ~ l5(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f340,axiom,
    ! [X2,X5] :
      ( l5(X5)
      | ~ k1(X5)
      | ~ q4(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_302) ).

fof(f333,axiom,
    ! [X11,X8,X6,X9,X7] :
      ( q4(X11,X6)
      | ~ k3(X7,X7,X11)
      | ~ m3(X8,X9,X8)
      | ~ q2(X8,X6,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_295) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SYN129-1 : TPTP v8.1.0. Released v1.1.0.
% 0.00/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29  % Computer : n022.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Aug 30 21:34:40 EDT 2022
% 0.09/0.29  % CPUTime    : 
% 0.13/0.44  % (18094)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.13/0.44  % (18081)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.13/0.45  % (18080)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.13/0.46  % (18089)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.13/0.46  % (18086)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.13/0.46  % (18098)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.13/0.46  % (18105)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.13/0.47  % (18096)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.13/0.47  % (18103)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.13/0.47  % (18106)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.13/0.48  % (18087)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.48  % (18088)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.48  % (18083)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.13/0.49  % (18097)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.13/0.49  % (18092)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.13/0.49  % (18089)First to succeed.
% 0.13/0.49  % (18093)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.13/0.49  % (18100)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.13/0.49  % (18104)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.13/0.49  % (18082)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.13/0.50  % (18091)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.13/0.50  % (18087)Instruction limit reached!
% 0.13/0.50  % (18087)------------------------------
% 0.13/0.50  % (18087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.50  % (18087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.50  % (18087)Termination reason: Unknown
% 0.13/0.50  % (18087)Termination phase: Saturation
% 0.13/0.50  
% 0.13/0.50  % (18087)Memory used [KB]: 6268
% 0.13/0.50  % (18087)Time elapsed: 0.015 s
% 0.13/0.50  % (18087)Instructions burned: 7 (million)
% 0.13/0.50  % (18087)------------------------------
% 0.13/0.50  % (18087)------------------------------
% 0.13/0.50  % (18088)Instruction limit reached!
% 0.13/0.50  % (18088)------------------------------
% 0.13/0.50  % (18088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.50  % (18088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.50  % (18088)Termination reason: Unknown
% 0.13/0.50  % (18088)Termination phase: Blocked clause elimination
% 0.13/0.50  
% 0.13/0.50  % (18088)Memory used [KB]: 1279
% 0.13/0.50  % (18088)Time elapsed: 0.003 s
% 0.13/0.50  % (18088)Instructions burned: 2 (million)
% 0.13/0.50  % (18088)------------------------------
% 0.13/0.50  % (18088)------------------------------
% 0.13/0.51  % (18084)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.13/0.51  % (18089)Refutation found. Thanks to Tanya!
% 0.13/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.51  % (18089)------------------------------
% 0.13/0.51  % (18089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.51  % (18089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.51  % (18089)Termination reason: Refutation
% 0.13/0.51  
% 0.13/0.51  % (18089)Memory used [KB]: 1535
% 0.13/0.51  % (18089)Time elapsed: 0.142 s
% 0.13/0.51  % (18089)Instructions burned: 11 (million)
% 0.13/0.51  % (18089)------------------------------
% 0.13/0.51  % (18089)------------------------------
% 0.13/0.51  % (18079)Success in time 0.204 s
%------------------------------------------------------------------------------