TSTP Solution File: SYN716-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN716-1 : 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 : n014.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 19:39:21 EDT 2022

% Result   : Unsatisfiable 0.17s 0.53s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   26 (  15 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   38 (  20   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  12 con; 0-2 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f393,plain,
    $false,
    inference(subsumption_resolution,[],[f390,f203]) ).

fof(f203,plain,
    ~ p62(c67,c72),
    inference(literal_reordering,[],[f34]) ).

fof(f34,axiom,
    ~ p62(c67,c72),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p62_34) ).

fof(f390,plain,
    p62(c67,c72),
    inference(resolution,[],[f385,f134]) ).

fof(f134,plain,
    ! [X224,X222,X223,X220,X221,X219] :
      ( ~ p62(f23(f25(f27(f29(f31(c74,X219),X221),X222),X223),X224),X220)
      | p62(X219,X220) ),
    inference(literal_reordering,[],[f99]) ).

fof(f99,axiom,
    ! [X224,X222,X223,X220,X221,X219] :
      ( p62(X219,X220)
      | ~ p62(f23(f25(f27(f29(f31(c74,X219),X221),X222),X223),X224),X220) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_99) ).

fof(f385,plain,
    p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72),
    inference(resolution,[],[f369,f163]) ).

fof(f163,plain,
    ! [X215,X218,X216,X217] :
      ( ~ p62(f5(c64,f16(f19(f21(c66,X215),X217),X218)),X216)
      | p62(X215,X216) ),
    inference(literal_reordering,[],[f97]) ).

fof(f97,axiom,
    ! [X215,X218,X216,X217] :
      ( p62(X215,X216)
      | ~ p62(f5(c64,f16(f19(f21(c66,X215),X217),X218)),X216) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_97) ).

fof(f369,plain,
    p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72),
    inference(resolution,[],[f327,f333]) ).

fof(f333,plain,
    ! [X0] :
      ( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X0)
      | p62(X0,c72) ),
    inference(resolution,[],[f319,f164]) ).

fof(f164,plain,
    ! [X19] : p32(X19,X19),
    inference(literal_reordering,[],[f20]) ).

fof(f20,axiom,
    ! [X19] : p32(X19,X19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_20) ).

fof(f319,plain,
    ! [X2,X3] :
      ( ~ p32(c72,X3)
      | p62(X2,X3)
      | ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X2) ),
    inference(resolution,[],[f195,f150]) ).

fof(f150,plain,
    ! [X101,X99,X102,X100] :
      ( ~ p62(X101,X102)
      | ~ p4(X101,X99)
      | ~ p32(X102,X100)
      | p62(X99,X100) ),
    inference(literal_reordering,[],[f68]) ).

fof(f68,axiom,
    ! [X101,X99,X102,X100] :
      ( ~ p4(X101,X99)
      | ~ p32(X102,X100)
      | ~ p62(X101,X102)
      | p62(X99,X100) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_68) ).

fof(f195,plain,
    p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
    inference(literal_reordering,[],[f100]) ).

fof(f100,axiom,
    p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_100) ).

fof(f327,plain,
    ! [X2,X3,X0,X1,X4,X5] : p4(f5(X0,f8(f11(f13(c65,f16(f19(f21(c66,X1),X2),X3)),X4),X5)),f5(X0,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5)))),
    inference(resolution,[],[f109,f270]) ).

fof(f270,plain,
    ! [X2,X0,X1] :
      ( ~ p3(X1,X2)
      | p4(f5(X0,X1),f5(X0,X2)) ),
    inference(resolution,[],[f140,f157]) ).

fof(f157,plain,
    ! [X27] : p2(X27,X27),
    inference(literal_reordering,[],[f28]) ).

fof(f28,axiom,
    ! [X27] : p2(X27,X27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).

fof(f140,plain,
    ! [X171,X174,X172,X173] :
      ( ~ p2(X171,X173)
      | p4(f5(X171,X172),f5(X173,X174))
      | ~ p3(X172,X174) ),
    inference(literal_reordering,[],[f86]) ).

fof(f86,axiom,
    ! [X171,X174,X172,X173] :
      ( p4(f5(X171,X172),f5(X173,X174))
      | ~ p2(X171,X173)
      | ~ p3(X172,X174) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_86) ).

fof(f109,plain,
    ! [X224,X222,X223,X221,X219] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X219),X221),X222)),X223),X224),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X219),X221),X222),X223),X224)),f43(f45(f47(f49(f51(c75,X219),X221),X222),X223),X224)),f53(f55(f57(f59(f61(c76,X219),X221),X222),X223),X224))),
    inference(literal_reordering,[],[f106]) ).

fof(f106,axiom,
    ! [X224,X222,X223,X221,X219] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X219),X221),X222)),X223),X224),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X219),X221),X222),X223),X224)),f43(f45(f47(f49(f51(c75,X219),X221),X222),X223),X224)),f53(f55(f57(f59(f61(c76,X219),X221),X222),X223),X224))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_106) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN716-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n014.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 22:18:18 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.17/0.43  % (18852)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)
% 0.17/0.46  % (18868)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)
% 0.17/0.47  % (18860)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)
% 0.17/0.48  % (18855)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)
% 0.17/0.48  % (18871)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)
% 0.17/0.49  TRYING [1]
% 0.17/0.49  % (18876)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.17/0.50  % (18863)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)
% 0.17/0.50  % (18851)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)
% 0.17/0.50  % (18854)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)
% 0.17/0.50  % (18853)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50  TRYING [2]
% 0.17/0.51  % (18863)First to succeed.
% 0.17/0.51  % (18878)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.51  % (18867)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.51  % (18872)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)
% 0.17/0.52  % (18877)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.52  % (18875)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)
% 0.17/0.52  % (18864)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)
% 0.17/0.52  % (18849)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)
% 0.17/0.52  % (18873)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.52  % (18870)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.52  % (18869)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.52  % (18850)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)
% 0.17/0.52  % (18856)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.52  % (18850)Refutation not found, incomplete strategy% (18850)------------------------------
% 0.17/0.52  % (18850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (18850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (18850)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52  
% 0.17/0.52  % (18850)Memory used [KB]: 5628
% 0.17/0.52  % (18850)Time elapsed: 0.142 s
% 0.17/0.52  % (18850)Instructions burned: 5 (million)
% 0.17/0.52  % (18850)------------------------------
% 0.17/0.52  % (18850)------------------------------
% 0.17/0.53  % (18874)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.53  % (18852)Instruction limit reached!
% 0.17/0.53  % (18852)------------------------------
% 0.17/0.53  % (18852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (18852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (18852)Termination reason: Unknown
% 0.17/0.53  % (18852)Termination phase: Saturation
% 0.17/0.53  
% 0.17/0.53  % (18852)Memory used [KB]: 6396
% 0.17/0.53  % (18852)Time elapsed: 0.142 s
% 0.17/0.53  % (18852)Instructions burned: 51 (million)
% 0.17/0.53  % (18852)------------------------------
% 0.17/0.53  % (18852)------------------------------
% 0.17/0.53  % (18863)Refutation found. Thanks to Tanya!
% 0.17/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.53  % (18863)------------------------------
% 0.17/0.53  % (18863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (18863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (18863)Termination reason: Refutation
% 0.17/0.53  
% 0.17/0.53  % (18863)Memory used [KB]: 6268
% 0.17/0.53  % (18863)Time elapsed: 0.011 s
% 0.17/0.53  % (18863)Instructions burned: 18 (million)
% 0.17/0.53  % (18863)------------------------------
% 0.17/0.53  % (18863)------------------------------
% 0.17/0.53  % (18848)Success in time 0.193 s
%------------------------------------------------------------------------------