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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n028.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 19:46:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            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 :   36 (  35   ~;   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,f45]) ).

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

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

fof(f44,plain,
    d(s(s(s(s(s(s(one))))))),
    inference(unit_resulting_resolution,[],[f41,f5]) ).

fof(f41,plain,
    d(s(s(s(s(s(one)))))),
    inference(unit_resulting_resolution,[],[f39,f5]) ).

fof(f39,plain,
    d(s(s(s(s(one))))),
    inference(unit_resulting_resolution,[],[f35,f5]) ).

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

fof(f34,plain,
    d(s(s(one))),
    inference(unit_resulting_resolution,[],[f32,f5]) ).

fof(f32,plain,
    d(s(one)),
    inference(unit_resulting_resolution,[],[f4,f5]) ).

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

fof(f46,plain,
    ~ d(s(s(s(s(s(s(s(one)))))))),
    inference(unit_resulting_resolution,[],[f43,f5]) ).

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

fof(f42,plain,
    ~ d(s(s(s(s(s(s(s(s(s(one)))))))))),
    inference(unit_resulting_resolution,[],[f40,f5]) ).

fof(f40,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(one))))))))))),
    inference(unit_resulting_resolution,[],[f38,f5]) ).

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

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

fof(f36,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(s(s(s(one)))))))))))))),
    inference(unit_resulting_resolution,[],[f33,f5]) ).

fof(f33,plain,
    ~ d(s(s(s(s(s(s(s(s(s(s(s(s(s(s(one))))))))))))))),
    inference(unit_resulting_resolution,[],[f31,f5]) ).

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(backward_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
% 0.07/0.12  % Problem    : SYO038-1.003.003 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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 22:45:49 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (22261)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (22258)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.49  % (22261)Refutation not found, incomplete strategy% (22261)------------------------------
% 0.20/0.49  % (22261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (22261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (22261)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (22261)Memory used [KB]: 5756
% 0.20/0.49  % (22261)Time elapsed: 0.094 s
% 0.20/0.49  % (22261)Instructions burned: 1 (million)
% 0.20/0.49  % (22261)------------------------------
% 0.20/0.49  % (22261)------------------------------
% 0.20/0.49  % (22258)Refutation not found, incomplete strategy% (22258)------------------------------
% 0.20/0.49  % (22258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (22258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (22258)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49  
% 0.20/0.49  % (22258)Memory used [KB]: 5756
% 0.20/0.49  % (22258)Time elapsed: 0.099 s
% 0.20/0.49  % (22258)Instructions burned: 2 (million)
% 0.20/0.49  % (22258)------------------------------
% 0.20/0.49  % (22258)------------------------------
% 0.20/0.50  % (22269)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  TRYING [2]
% 0.20/0.50  % (22277)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (22265)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.50  % (22277)Refutation not found, incomplete strategy% (22277)------------------------------
% 0.20/0.50  % (22277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (22277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (22277)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (22277)Memory used [KB]: 5756
% 0.20/0.50  % (22277)Time elapsed: 0.107 s
% 0.20/0.50  % (22277)Instructions burned: 1 (million)
% 0.20/0.50  % (22277)------------------------------
% 0.20/0.50  % (22277)------------------------------
% 0.20/0.50  % (22276)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (22264)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (22260)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51  % (22254)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (22269)Instruction limit reached!
% 0.20/0.51  % (22269)------------------------------
% 0.20/0.51  % (22269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (22274)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (22266)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.51  % (22268)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.51  % (22281)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.51  % (22274)First to succeed.
% 0.20/0.52  % (22274)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  % (22274)------------------------------
% 0.20/0.52  % (22274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (22274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (22274)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (22274)Memory used [KB]: 1407
% 0.20/0.52  % (22274)Time elapsed: 0.125 s
% 0.20/0.52  % (22274)Instructions burned: 3 (million)
% 0.20/0.52  % (22274)------------------------------
% 0.20/0.52  % (22274)------------------------------
% 0.20/0.52  % (22253)Success in time 0.169 s
%------------------------------------------------------------------------------