TSTP Solution File: SYN595-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN595-1 : 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 : n006.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 19:39:01 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   54 (  44 unt;   0 def)
%            Number of atoms       :   74 (  31 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   48 (  28   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   38 (  38 usr;  23 con; 0-3 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f757,plain,
    $false,
    inference(subsumption_resolution,[],[f756,f2]) ).

fof(f2,axiom,
    ! [X1] : p7(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).

fof(f756,plain,
    ~ p7(sF17,sF17),
    inference(forward_demodulation,[],[f755,f47]) ).

fof(f47,plain,
    f8(sF10,sF16) = sF17,
    introduced(function_definition,[]) ).

fof(f755,plain,
    ~ p7(sF17,f8(sF10,sF16)),
    inference(subsumption_resolution,[],[f754,f63]) ).

fof(f63,plain,
    p14(c18,sF2),
    inference(definition_folding,[],[f5,f30,f29,f28]) ).

fof(f28,plain,
    f5(c17) = sF0,
    introduced(function_definition,[]) ).

fof(f29,plain,
    sF1 = f4(sF0),
    introduced(function_definition,[]) ).

fof(f30,plain,
    f3(sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f5,axiom,
    p14(c18,f3(f4(f5(c17)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_5) ).

fof(f754,plain,
    ( ~ p7(sF17,f8(sF10,sF16))
    | ~ p14(c18,sF2) ),
    inference(superposition,[],[f747,f69]) ).

fof(f69,plain,
    sF10 = sF18(c18),
    inference(superposition,[],[f40,f48]) ).

fof(f48,plain,
    ! [X47] : f10(sF9,X47) = sF18(X47),
    introduced(function_definition,[]) ).

fof(f40,plain,
    sF10 = f10(sF9,c18),
    introduced(function_definition,[]) ).

fof(f747,plain,
    ! [X0] :
      ( ~ p7(sF17,f8(sF18(X0),sF16))
      | ~ p14(X0,sF2) ),
    inference(subsumption_resolution,[],[f746,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f746,plain,
    ! [X0] :
      ( ~ p7(sF17,f8(sF18(X0),sF16))
      | ~ p2(sF6,sF6)
      | ~ p14(X0,sF2) ),
    inference(subsumption_resolution,[],[f744,f698]) ).

fof(f698,plain,
    p15(sF5,sF7),
    inference(resolution,[],[f694,f6]) ).

fof(f6,axiom,
    ! [X2,X3] :
      ( ~ p14(X2,X3)
      | p15(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_6) ).

fof(f694,plain,
    p14(sF5,sF7),
    inference(resolution,[],[f693,f34]) ).

fof(f34,plain,
    p2(c19,sF5),
    inference(definition_folding,[],[f17,f33,f32,f31,f28,f30,f29,f28]) ).

fof(f31,plain,
    sF3 = f3(sF0),
    introduced(function_definition,[]) ).

fof(f32,plain,
    sF4 = f13(c16,sF3),
    introduced(function_definition,[]) ).

fof(f33,plain,
    f6(sF2,sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f17,axiom,
    p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).

fof(f693,plain,
    ! [X0] :
      ( ~ p2(c19,X0)
      | p14(X0,sF7) ),
    inference(resolution,[],[f434,f1]) ).

fof(f434,plain,
    ! [X0,X1] :
      ( ~ p2(sF7,X1)
      | p14(X0,X1)
      | ~ p2(c19,X0) ),
    inference(resolution,[],[f18,f62]) ).

fof(f62,plain,
    p14(c19,sF7),
    inference(definition_folding,[],[f8,f37,f30,f29,f28]) ).

fof(f37,plain,
    sF7 = f6(sF2,c16),
    introduced(function_definition,[]) ).

fof(f8,axiom,
    p14(c19,f6(f3(f4(f5(c17))),c16)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_8) ).

fof(f18,axiom,
    ! [X21,X18,X19,X20] :
      ( ~ p14(X20,X21)
      | ~ p2(X20,X18)
      | ~ p2(X21,X19)
      | p14(X18,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_18) ).

fof(f744,plain,
    ! [X0] :
      ( ~ p15(sF5,sF7)
      | ~ p14(X0,sF2)
      | ~ p7(sF17,f8(sF18(X0),sF16))
      | ~ p2(sF6,sF6) ),
    inference(superposition,[],[f61,f679]) ).

fof(f679,plain,
    ! [X0] : sF22(X0,sF6,sF5) = f8(sF18(X0),sF16),
    inference(superposition,[],[f52,f678]) ).

fof(f678,plain,
    sF16 = sF21(sF6,sF5),
    inference(forward_demodulation,[],[f675,f46]) ).

fof(f46,plain,
    sF16 = f8(sF12,sF15),
    introduced(function_definition,[]) ).

fof(f675,plain,
    f8(sF12,sF15) = sF21(sF6,sF5),
    inference(superposition,[],[f401,f81]) ).

fof(f81,plain,
    sF20(sF5) = sF15,
    inference(forward_demodulation,[],[f79,f45]) ).

fof(f45,plain,
    sF15 = f9(sF13,sF14),
    introduced(function_definition,[]) ).

fof(f79,plain,
    sF20(sF5) = f9(sF13,sF14),
    inference(superposition,[],[f50,f43]) ).

fof(f43,plain,
    f11(sF5) = sF13,
    introduced(function_definition,[]) ).

fof(f50,plain,
    ! [X48] : sF20(X48) = f9(f11(X48),sF14),
    introduced(function_definition,[]) ).

fof(f401,plain,
    ! [X2] : sF21(sF6,X2) = f8(sF12,sF20(X2)),
    inference(superposition,[],[f51,f75]) ).

fof(f75,plain,
    sF19(sF6) = sF12,
    inference(superposition,[],[f42,f49]) ).

fof(f49,plain,
    ! [X46] : sF19(X46) = f10(sF11,X46),
    introduced(function_definition,[]) ).

fof(f42,plain,
    f10(sF11,sF6) = sF12,
    introduced(function_definition,[]) ).

fof(f51,plain,
    ! [X48,X46] : f8(sF19(X46),sF20(X48)) = sF21(X46,X48),
    introduced(function_definition,[]) ).

fof(f52,plain,
    ! [X48,X46,X47] : f8(sF18(X47),sF21(X46,X48)) = sF22(X47,X46,X48),
    introduced(function_definition,[]) ).

fof(f61,plain,
    ! [X48,X46,X47] :
      ( ~ p7(sF17,sF22(X47,X46,X48))
      | ~ p2(X46,sF6)
      | ~ p15(X48,sF7)
      | ~ p14(X47,sF2) ),
    inference(definition_folding,[],[f26,f52,f51,f50,f44,f41,f30,f29,f28,f49,f41,f30,f29,f28,f48,f39,f38,f31,f28,f47,f46,f45,f44,f41,f30,f29,f28,f43,f33,f32,f31,f28,f30,f29,f28,f42,f35,f41,f30,f29,f28,f40,f39,f38,f31,f28,f35,f37,f30,f29,f28,f30,f29,f28]) ).

fof(f35,plain,
    f3(c17) = sF6,
    introduced(function_definition,[]) ).

fof(f38,plain,
    f11(sF3) = sF8,
    introduced(function_definition,[]) ).

fof(f39,plain,
    sF9 = f12(sF8),
    introduced(function_definition,[]) ).

fof(f41,plain,
    sF11 = f11(sF2),
    introduced(function_definition,[]) ).

fof(f44,plain,
    sF14 = f10(sF11,c22),
    introduced(function_definition,[]) ).

fof(f26,axiom,
    ! [X48,X46,X47] :
      ( ~ p14(X47,f3(f4(f5(c17))))
      | ~ p15(X48,f6(f3(f4(f5(c17))),c16))
      | ~ p2(X46,f3(c17))
      | ~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),f3(c17)),f9(f11(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),X47),f8(f10(f11(f3(f4(f5(c17)))),X46),f9(f11(X48),f10(f11(f3(f4(f5(c17)))),c22))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN595-1 : 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
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:08:54 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (17515)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)
% 0.19/0.48  % (17492)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (17501)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49  % (17517)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)
% 0.19/0.50  % (17509)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50  % (17499)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  % (17510)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)
% 0.19/0.50  % (17491)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  % (17488)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)
% 0.19/0.51  % (17502)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)
% 0.19/0.51  % (17513)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51  % (17493)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)
% 0.19/0.51  % (17511)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)
% 0.19/0.51  % (17489)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)
% 0.19/0.51  % (17512)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51  % (17490)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)
% 0.19/0.51  % (17489)Refutation not found, incomplete strategy% (17489)------------------------------
% 0.19/0.51  % (17489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (17489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (17489)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (17489)Memory used [KB]: 5373
% 0.19/0.51  % (17489)Time elapsed: 0.126 s
% 0.19/0.51  % (17489)Instructions burned: 2 (million)
% 0.19/0.51  % (17489)------------------------------
% 0.19/0.51  % (17489)------------------------------
% 0.19/0.52  % (17506)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (17508)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)
% 0.19/0.52  % (17504)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (17503)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  % (17514)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  % (17500)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  % (17497)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)
% 0.19/0.52  % (17495)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (17505)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (17496)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (17516)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (17496)Instruction limit reached!
% 0.19/0.53  % (17496)------------------------------
% 0.19/0.53  % (17496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (17496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (17496)Termination reason: Unknown
% 0.19/0.53  % (17496)Termination phase: Blocked clause elimination
% 0.19/0.53  
% 0.19/0.53  % (17496)Memory used [KB]: 895
% 0.19/0.53  % (17496)Time elapsed: 0.002 s
% 0.19/0.53  % (17496)Instructions burned: 2 (million)
% 0.19/0.53  % (17496)------------------------------
% 0.19/0.53  % (17496)------------------------------
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (17507)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)
% 0.19/0.53  TRYING [2]
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (17501)First to succeed.
% 0.19/0.53  % (17498)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (17495)Instruction limit reached!
% 0.19/0.53  % (17495)------------------------------
% 0.19/0.53  % (17495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (17495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (17495)Termination reason: Unknown
% 0.19/0.53  % (17495)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (17495)Memory used [KB]: 5500
% 0.19/0.53  % (17495)Time elapsed: 0.143 s
% 0.19/0.53  % (17495)Instructions burned: 8 (million)
% 0.19/0.53  % (17495)------------------------------
% 0.19/0.53  % (17495)------------------------------
% 0.19/0.55  % (17501)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (17501)------------------------------
% 0.19/0.55  % (17501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (17501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (17501)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (17501)Memory used [KB]: 5756
% 0.19/0.55  % (17501)Time elapsed: 0.123 s
% 0.19/0.55  % (17501)Instructions burned: 26 (million)
% 0.19/0.55  % (17501)------------------------------
% 0.19/0.55  % (17501)------------------------------
% 0.19/0.55  % (17487)Success in time 0.202 s
%------------------------------------------------------------------------------