%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN621-1 : 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 : n003.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 19:39:06 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   37 (  27 unt;   0 def)
%            Number of atoms       :   48 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (   9   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   32 (  32 usr;  19 con; 0-4 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f105,plain,
    $false,
    inference(subsumption_resolution,[],[f104,f49]) ).

fof(f49,plain,
    ~ p21(sF5,sF11),
    inference(definition_folding,[],[f32,f48,f47,f46,f45,f44,f43,f39,f38,f42,f41,f40,f39,f38]) ).

fof(f40,plain,
    sF3 = f9(sF2,c28,c27),
    introduced(function_definition,[]) ).

fof(f41,plain,
    f6(c27,sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f42,plain,
    sF5 = f5(sF4),
    introduced(function_definition,[]) ).

fof(f38,plain,
    f12(c23,c26) = sF1,
    introduced(function_definition,[]) ).

fof(f39,plain,
    f11(c25,sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f43,plain,
    sF6 = f19(sF2,c27),
    introduced(function_definition,[]) ).

fof(f44,plain,
    f18(c24) = sF7,
    introduced(function_definition,[]) ).

fof(f45,plain,
    sF8 = f17(sF7),
    introduced(function_definition,[]) ).

fof(f46,plain,
    sF9 = f3(sF8),
    introduced(function_definition,[]) ).

fof(f47,plain,
    f16(sF9) = sF10,
    introduced(function_definition,[]) ).

fof(f48,plain,
    f15(sF6,sF10) = sF11,
    introduced(function_definition,[]) ).

fof(f32,axiom,
    ~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_32) ).

fof(f104,plain,
    p21(sF5,sF11),
    inference(forward_demodulation,[],[f103,f48]) ).

fof(f103,plain,
    p21(sF5,f15(sF6,sF10)),
    inference(forward_demodulation,[],[f102,f43]) ).

fof(f102,plain,
    p21(sF5,f15(f19(sF2,c27),sF10)),
    inference(forward_demodulation,[],[f101,f39]) ).

fof(f101,plain,
    p21(sF5,f15(f19(f11(c25,sF1),c27),sF10)),
    inference(forward_demodulation,[],[f100,f38]) ).

fof(f100,plain,
    p21(sF5,f15(f19(f11(c25,f12(c23,c26)),c27),sF10)),
    inference(subsumption_resolution,[],[f96,f52]) ).

fof(f52,plain,
    ~ p2(c23,sF0),
    inference(definition_folding,[],[f7,f35]) ).

fof(f35,plain,
    f3(c24) = sF0,
    introduced(function_definition,[]) ).

fof(f7,axiom,
    ~ p2(c23,f3(c24)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_7) ).

fof(f96,plain,
    ( p2(c23,sF0)
    | p21(sF5,f15(f19(f11(c25,f12(c23,c26)),c27),sF10)) ),
    inference(resolution,[],[f53,f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ p21(f5(f6(c27,f20(c25,c23,c26,X0))),X1)
      | p21(sF5,X1) ),
    inference(resolution,[],[f88,f18]) ).

fof(f18,axiom,
    ! [X28,X26,X27] :
      ( ~ p21(X26,X28)
      | ~ p21(X28,X27)
      | p21(X26,X27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_18) ).

fof(f88,plain,
    ! [X0] : p21(sF5,f5(f6(c27,f20(c25,c23,c26,X0)))),
    inference(resolution,[],[f87,f51]) ).

fof(f51,plain,
    ! [X79] :
      ( ~ p22(X79,sF12)
      | p21(sF5,f5(f6(c27,X79))) ),
    inference(definition_folding,[],[f31,f50,f39,f38,f42,f41,f40,f39,f38]) ).

fof(f50,plain,
    f14(sF2) = sF12,
    introduced(function_definition,[]) ).

fof(f31,axiom,
    ! [X79] :
      ( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X79)))
      | ~ p22(X79,f14(f11(c25,f12(c23,c26)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_31) ).

fof(f87,plain,
    ! [X0] : p22(f20(c25,c23,c26,X0),sF12),
    inference(forward_demodulation,[],[f86,f50]) ).

fof(f86,plain,
    ! [X0] : p22(f20(c25,c23,c26,X0),f14(sF2)),
    inference(superposition,[],[f84,f39]) ).

fof(f84,plain,
    ! [X0,X1] : p22(f20(X0,c23,c26,X1),f14(f11(X0,sF1))),
    inference(subsumption_resolution,[],[f83,f52]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( p2(c23,sF0)
      | p22(f20(X0,c23,c26,X1),f14(f11(X0,sF1))) ),
    inference(superposition,[],[f36,f38]) ).

fof(f36,plain,
    ! [X62,X63,X61,X64] :
      ( p22(f20(X62,X61,X63,X64),f14(f11(X62,f12(X61,X63))))
      | p2(X61,sF0) ),
    inference(definition_folding,[],[f28,f35]) ).

fof(f28,axiom,
    ! [X62,X63,X61,X64] :
      ( p22(f20(X62,X61,X63,X64),f14(f11(X62,f12(X61,X63))))
      | p2(X61,f3(c24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).

fof(f53,plain,
    ! [X62,X63,X61,X64] :
      ( p21(f5(f6(X64,f20(X62,X61,X63,X64))),f15(f19(f11(X62,f12(X61,X63)),X64),sF10))
      | p2(X61,sF0) ),
    inference(definition_folding,[],[f34,f35,f47,f46,f45,f44]) ).

fof(f34,axiom,
    ! [X62,X63,X61,X64] :
      ( p21(f5(f6(X64,f20(X62,X61,X63,X64))),f15(f19(f11(X62,f12(X61,X63)),X64),f16(f3(f17(f18(c24))))))
      | p2(X61,f3(c24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_34) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN621-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 22:12:07 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (27246)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)
% 0.19/0.50  % (27237)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)
% 0.19/0.50  % (27239)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (27238)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)
% 0.19/0.50  % (27245)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (27257)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)
% 0.19/0.51  % (27253)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (27249)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)
% 0.19/0.52  % (27247)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (27248)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (27258)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)
% 0.19/0.52  % (27250)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)
% 0.19/0.52  % (27241)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)
% 0.19/0.52  % (27239)First to succeed.
% 0.19/0.53  % (27261)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)
% 0.19/0.53  % (27240)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)
% 0.19/0.53  % (27236)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)
% 0.19/0.53  % (27239)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (27239)------------------------------
% 0.19/0.53  % (27239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (27239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (27239)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (27239)Memory used [KB]: 5500
% 0.19/0.53  % (27239)Time elapsed: 0.131 s
% 0.19/0.53  % (27239)Instructions burned: 4 (million)
% 0.19/0.53  % (27239)------------------------------
% 0.19/0.53  % (27239)------------------------------
% 0.19/0.53  % (27234)Success in time 0.181 s
%------------------------------------------------------------------------------