TSTP Solution File: SYN709-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN709-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n018.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 19:39:20 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   34 (  23 unt;   0 def)
%            Number of atoms       :   49 (   7 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  17   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  16 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f268,plain,
    $false,
    inference(subsumption_resolution,[],[f266,f89]) ).

fof(f89,plain,
    ~ p47(sF2,sF4),
    inference(definition_folding,[],[f64,f88,f87,f86,f85,f84]) ).

fof(f84,plain,
    f33(c62,c63) = sF0,
    introduced(function_definition,[]) ).

fof(f85,plain,
    f34(c65,c56) = sF1,
    introduced(function_definition,[]) ).

fof(f86,plain,
    sF2 = f31(sF0,sF1),
    introduced(function_definition,[]) ).

fof(f87,plain,
    f28(c64,c65) = sF3,
    introduced(function_definition,[]) ).

fof(f88,plain,
    f25(sF3,c60) = sF4,
    introduced(function_definition,[]) ).

fof(f64,axiom,
    ~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_64) ).

fof(f266,plain,
    p47(sF2,sF4),
    inference(resolution,[],[f265,f206]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ p47(f31(sF0,f25(sF3,f34(c66,c56))),X0)
      | p47(sF2,X0) ),
    inference(resolution,[],[f205,f158]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( ~ p30(X0,X1)
      | p47(X1,X2)
      | ~ p47(X0,X2) ),
    inference(resolution,[],[f60,f21]) ).

fof(f21,axiom,
    ! [X20] : p19(X20,X20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_21) ).

fof(f60,axiom,
    ! [X82,X83,X80,X81] :
      ( ~ p19(X83,X81)
      | ~ p30(X82,X80)
      | ~ p47(X82,X83)
      | p47(X80,X81) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_60) ).

fof(f205,plain,
    p30(f31(sF0,f25(sF3,f34(c66,c56))),sF2),
    inference(superposition,[],[f200,f86]) ).

fof(f200,plain,
    ! [X9] : p30(f31(X9,f25(sF3,f34(c66,c56))),f31(X9,sF1)),
    inference(resolution,[],[f195,f147]) ).

fof(f147,plain,
    p19(f25(sF3,f34(c66,c56)),sF1),
    inference(forward_demodulation,[],[f146,f87]) ).

fof(f146,plain,
    p19(f25(f28(c64,c65),f34(c66,c56)),sF1),
    inference(superposition,[],[f59,f85]) ).

fof(f59,axiom,
    ! [X78,X79] : p19(f25(f28(c64,X78),f34(c66,X79)),f34(X78,X79)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_59) ).

fof(f195,plain,
    ! [X2,X0,X1] :
      ( ~ p19(X0,X1)
      | p30(f31(X2,X0),f31(X2,X1)) ),
    inference(resolution,[],[f72,f14]) ).

fof(f14,axiom,
    ! [X13] : p29(X13,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29_14) ).

fof(f72,axiom,
    ! [X126,X127,X124,X125] :
      ( ~ p29(X124,X126)
      | ~ p19(X125,X127)
      | p30(f31(X124,X125),f31(X126,X127)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_72) ).

fof(f265,plain,
    p47(f31(sF0,f25(sF3,f34(c66,c56))),sF4),
    inference(forward_demodulation,[],[f264,f88]) ).

fof(f264,plain,
    p47(f31(sF0,f25(sF3,f34(c66,c56))),f25(sF3,c60)),
    inference(resolution,[],[f263,f90]) ).

fof(f90,plain,
    ! [X166,X165] :
      ( ~ p47(f31(sF0,X165),X166)
      | p47(f31(sF0,f25(sF3,X165)),f25(sF3,X166)) ),
    inference(definition_folding,[],[f83,f87,f87,f84,f84]) ).

fof(f83,axiom,
    ! [X166,X165] :
      ( ~ p47(f31(f33(c62,c63),X165),X166)
      | p47(f31(f33(c62,c63),f25(f28(c64,c65),X165)),f25(f28(c64,c65),X166)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_83) ).

fof(f263,plain,
    p47(f31(sF0,f34(c66,c56)),c60),
    inference(subsumption_resolution,[],[f262,f105]) ).

fof(f105,plain,
    p46(sF13,sF14),
    inference(definition_folding,[],[f29,f104,f103]) ).

fof(f103,plain,
    f23(c58,c56) = sF13,
    introduced(function_definition,[]) ).

fof(f104,plain,
    f20(c59,c60) = sF14,
    introduced(function_definition,[]) ).

fof(f29,axiom,
    p46(f23(c58,c56),f20(c59,c60)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p46_29) ).

fof(f262,plain,
    ( p47(f31(sF0,f34(c66,c56)),c60)
    | ~ p46(sF13,sF14) ),
    inference(superposition,[],[f260,f104]) ).

fof(f260,plain,
    ! [X0] :
      ( ~ p46(sF13,f20(c59,X0))
      | p47(f31(sF0,f34(c66,c56)),X0) ),
    inference(superposition,[],[f95,f103]) ).

fof(f95,plain,
    ! [X160,X161] :
      ( ~ p46(f23(c58,X160),f20(c59,X161))
      | p47(f31(sF0,f34(c66,X160)),X161) ),
    inference(definition_folding,[],[f81,f84]) ).

fof(f81,axiom,
    ! [X160,X161] :
      ( ~ p46(f23(c58,X160),f20(c59,X161))
      | p47(f31(f33(c62,c63),f34(c66,X160)),X161) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_81) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN709-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 22:21:10 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (2653)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (2661)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (2653)First to succeed.
% 0.20/0.53  % (2667)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (2659)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (2652)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)
% 0.20/0.54  % (2654)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54  % (2658)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)
% 0.20/0.54  % (2657)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (2657)Instruction limit reached!
% 0.20/0.54  % (2657)------------------------------
% 0.20/0.54  % (2657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (2657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (2657)Termination reason: Unknown
% 0.20/0.54  % (2657)Termination phase: Blocked clause elimination
% 0.20/0.54  
% 0.20/0.54  % (2657)Memory used [KB]: 1151
% 0.20/0.54  % (2657)Time elapsed: 0.003 s
% 0.20/0.54  % (2657)Instructions burned: 3 (million)
% 0.20/0.54  % (2657)------------------------------
% 0.20/0.54  % (2657)------------------------------
% 0.20/0.54  % (2660)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)
% 0.20/0.54  % (2672)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)
% 0.20/0.54  % (2655)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)
% 0.20/0.54  % (2670)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (2653)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (2653)------------------------------
% 0.20/0.55  % (2653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (2653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (2653)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (2653)Memory used [KB]: 5756
% 0.20/0.55  % (2653)Time elapsed: 0.126 s
% 0.20/0.55  % (2653)Instructions burned: 12 (million)
% 0.20/0.55  % (2653)------------------------------
% 0.20/0.55  % (2653)------------------------------
% 0.20/0.55  % (2648)Success in time 0.19 s
%------------------------------------------------------------------------------