TSTP Solution File: SYO038-1.003.003 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYO038-1.003.003 : TPTP v8.1.0. Released v5.3.0.
% 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 19:50:12 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   47 (  46 unt;   0 def)
%            Number of atoms       :   48 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   43 (  42   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   16 (   5 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f47,plain,
    $false,
    inference(subsumption_resolution,[],[f46,f4]) ).

fof(f4,axiom,
    d(one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f46,plain,
    ~ d(one),
    inference(resolution,[],[f45,f5]) ).

fof(f5,axiom,
    ! [X1] :
      ( d(s(X1))
      | ~ d(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f45,plain,
    ~ d(s(one)),
    inference(resolution,[],[f44,f5]) ).

fof(f44,plain,
    ~ d(s(s(one))),
    inference(resolution,[],[f43,f5]) ).

fof(f43,plain,
    ~ d(s(s(s(one)))),
    inference(resolution,[],[f42,f5]) ).

fof(f42,plain,
    ~ d(s(s(s(s(one))))),
    inference(resolution,[],[f41,f5]) ).

fof(f41,plain,
    ~ d(s(s(s(s(s(one)))))),
    inference(resolution,[],[f40,f5]) ).

fof(f40,plain,
    ~ d(s(s(s(s(s(s(one))))))),
    inference(resolution,[],[f39,f5]) ).

fof(f39,plain,
    ~ d(s(s(s(s(s(s(s(one)))))))),
    inference(resolution,[],[f38,f5]) ).

fof(f38,plain,
    ~ d(s(s(s(s(s(s(s(s(one))))))))),
    inference(resolution,[],[f37,f5]) ).

fof(f37,plain,
    ~ d(s(s(s(s(s(s(s(s(s(one)))))))))),
    inference(resolution,[],[f36,f5]) ).

fof(f36,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(one))))))))))),
    inference(resolution,[],[f35,f5]) ).

fof(f35,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(s(one)))))))))))),
    inference(resolution,[],[f34,f5]) ).

fof(f34,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(s(s(one))))))))))))),
    inference(resolution,[],[f33,f5]) ).

fof(f33,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(s(s(s(one)))))))))))))),
    inference(resolution,[],[f32,f5]) ).

fof(f32,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(s(s(s(s(one))))))))))))))),
    inference(resolution,[],[f5,f31]) ).

fof(f31,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(one)))))))))))))))),
    inference(forward_demodulation,[],[f30,f1]) ).

fof(f1,axiom,
    ! [X0] : f(X0,one) = s(one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f30,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(s(s(s(s(f(one,one)))))))))))))))),
    inference(forward_demodulation,[],[f29,f2]) ).

fof(f2,axiom,
    ! [X1] : f(one,s(X1)) = s(s(f(one,X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f29,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(s(s(f(one,s(one))))))))))))))),
    inference(forward_demodulation,[],[f28,f1]) ).

fof(f28,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(s(s(f(one,f(one,one))))))))))))))),
    inference(forward_demodulation,[],[f27,f2]) ).

fof(f27,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(f(one,s(f(one,one)))))))))))))),
    inference(forward_demodulation,[],[f26,f2]) ).

fof(f26,plain,
    ~ d(s(s(s(s(s(s(s(s(f(one,s(s(f(one,one))))))))))))),
    inference(forward_demodulation,[],[f25,f2]) ).

fof(f25,plain,
    ~ d(s(s(s(s(s(s(s(s(f(one,f(one,s(one)))))))))))),
    inference(forward_demodulation,[],[f24,f1]) ).

fof(f24,plain,
    ~ d(s(s(s(s(s(s(s(s(f(one,f(one,f(one,one)))))))))))),
    inference(forward_demodulation,[],[f23,f2]) ).

fof(f23,plain,
    ~ d(s(s(s(s(s(s(f(one,s(f(one,f(one,one))))))))))),
    inference(forward_demodulation,[],[f22,f2]) ).

fof(f22,plain,
    ~ d(s(s(s(s(f(one,s(s(f(one,f(one,one)))))))))),
    inference(forward_demodulation,[],[f21,f2]) ).

fof(f21,plain,
    ~ d(s(s(s(s(f(one,f(one,s(f(one,one))))))))),
    inference(forward_demodulation,[],[f20,f2]) ).

fof(f20,plain,
    ~ d(s(s(f(one,s(f(one,s(f(one,one)))))))),
    inference(forward_demodulation,[],[f19,f2]) ).

fof(f19,plain,
    ~ d(f(one,s(s(f(one,s(f(one,one))))))),
    inference(forward_demodulation,[],[f18,f2]) ).

fof(f18,plain,
    ~ d(f(one,f(one,s(s(f(one,one)))))),
    inference(forward_demodulation,[],[f17,f2]) ).

fof(f17,plain,
    ~ d(f(one,f(one,f(one,s(one))))),
    inference(forward_demodulation,[],[f16,f1]) ).

fof(f16,plain,
    ~ d(f(one,f(one,f(one,f(s(one),one))))),
    inference(forward_demodulation,[],[f15,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : f(s(X0),s(X1)) = f(X0,f(s(X0),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f15,plain,
    ~ d(f(one,f(one,f(s(one),s(one))))),
    inference(forward_demodulation,[],[f14,f1]) ).

fof(f14,plain,
    ~ d(f(one,f(one,f(s(one),f(one,one))))),
    inference(forward_demodulation,[],[f13,f3]) ).

fof(f13,plain,
    ~ d(f(one,f(s(one),s(f(one,one))))),
    inference(forward_demodulation,[],[f12,f3]) ).

fof(f12,plain,
    ~ d(f(s(one),s(s(f(one,one))))),
    inference(forward_demodulation,[],[f11,f2]) ).

fof(f11,plain,
    ~ d(f(s(one),f(one,s(one)))),
    inference(forward_demodulation,[],[f10,f1]) ).

fof(f10,plain,
    ~ d(f(s(one),f(one,f(s(one),one)))),
    inference(forward_demodulation,[],[f9,f3]) ).

fof(f9,plain,
    ~ d(f(s(one),f(s(one),s(one)))),
    inference(forward_demodulation,[],[f8,f1]) ).

fof(f8,plain,
    ~ d(f(s(one),f(s(one),f(s(s(one)),one)))),
    inference(forward_demodulation,[],[f7,f3]) ).

fof(f7,plain,
    ~ d(f(s(one),f(s(s(one)),s(one)))),
    inference(forward_demodulation,[],[f6,f3]) ).

fof(f6,axiom,
    ~ d(f(s(s(one)),s(s(one)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO038-1.003.003 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.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   : Tue Aug 30 22:37:56 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (26272)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)
% 0.20/0.50  % (26280)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50  % (26269)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)
% 0.20/0.51  % (26268)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)
% 0.20/0.51  % (26290)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)
% 0.20/0.51  % (26281)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)
% 0.20/0.51  % (26290)First to succeed.
% 0.20/0.52  % (26271)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  % (26293)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)
% 0.20/0.52  % (26276)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)
% 0.20/0.52  % (26291)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (26274)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (26292)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (26293)Also succeeded, but the first one will report.
% 0.20/0.52  % (26270)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)
% 0.20/0.52  % (26282)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)
% 0.20/0.52  % (26290)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (26290)------------------------------
% 0.20/0.52  % (26290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (26290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (26290)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (26290)Memory used [KB]: 5373
% 0.20/0.52  % (26290)Time elapsed: 0.079 s
% 0.20/0.52  % (26290)Instructions burned: 2 (million)
% 0.20/0.52  % (26290)------------------------------
% 0.20/0.52  % (26290)------------------------------
% 0.20/0.52  % (26263)Success in time 0.175 s
%------------------------------------------------------------------------------