TSTP Solution File: SYN577-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN577-1 : 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 : n021.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 19:38:58 EDT 2022

% Result   : Unsatisfiable 0.14s 0.50s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   37 (  25 unt;   0 def)
%            Number of atoms       :   65 (   5 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   66 (  38   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  14 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f296,plain,
    $false,
    inference(subsumption_resolution,[],[f295,f119]) ).

fof(f119,plain,
    p2(sF3,sF6),
    inference(resolution,[],[f116,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f14,f1]) ).

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

fof(f14,axiom,
    ! [X3,X0,X4] :
      ( ~ p2(X0,X4)
      | ~ p2(X0,X3)
      | p2(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).

fof(f116,plain,
    p2(sF6,sF3),
    inference(resolution,[],[f64,f51]) ).

fof(f51,plain,
    p2(c18,sF6),
    inference(resolution,[],[f36,f35]) ).

fof(f35,plain,
    p2(sF6,c18),
    inference(definition_folding,[],[f12,f34,f23]) ).

fof(f23,plain,
    f6(c9) = sF0,
    introduced(function_definition,[]) ).

fof(f34,plain,
    f5(sF0,c20) = sF6,
    introduced(function_definition,[]) ).

fof(f12,axiom,
    p2(f5(f6(c9),c20),c18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

fof(f64,plain,
    ! [X0] :
      ( ~ p2(c18,X0)
      | p2(X0,sF3) ),
    inference(resolution,[],[f48,f14]) ).

fof(f48,plain,
    p2(c18,sF3),
    inference(resolution,[],[f36,f29]) ).

fof(f29,plain,
    p2(sF3,c18),
    inference(definition_folding,[],[f8,f28]) ).

fof(f28,plain,
    f4(c16,c14) = sF3,
    introduced(function_definition,[]) ).

fof(f8,axiom,
    p2(f4(c16,c14),c18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

fof(f295,plain,
    ~ p2(sF3,sF6),
    inference(forward_demodulation,[],[f294,f28]) ).

fof(f294,plain,
    ~ p2(f4(c16,c14),sF6),
    inference(resolution,[],[f249,f1]) ).

fof(f249,plain,
    ! [X1] :
      ( ~ p2(c16,X1)
      | ~ p2(f4(X1,c14),sF6) ),
    inference(subsumption_resolution,[],[f248,f102]) ).

fof(f102,plain,
    p2(sF4,sF1),
    inference(resolution,[],[f55,f49]) ).

fof(f49,plain,
    p2(c17,sF4),
    inference(resolution,[],[f36,f31]) ).

fof(f31,plain,
    p2(sF4,c17),
    inference(definition_folding,[],[f9,f30]) ).

fof(f30,plain,
    f4(c15,c14) = sF4,
    introduced(function_definition,[]) ).

fof(f9,axiom,
    p2(f4(c15,c14),c17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).

fof(f55,plain,
    ! [X0] :
      ( ~ p2(c17,X0)
      | p2(X0,sF1) ),
    inference(resolution,[],[f46,f14]) ).

fof(f46,plain,
    p2(c17,sF1),
    inference(resolution,[],[f36,f25]) ).

fof(f25,plain,
    p2(sF1,c17),
    inference(definition_folding,[],[f11,f24,f23]) ).

fof(f24,plain,
    sF1 = f5(sF0,c19),
    introduced(function_definition,[]) ).

fof(f11,axiom,
    p2(f5(f6(c9),c19),c17),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).

fof(f248,plain,
    ! [X1] :
      ( ~ p2(c16,X1)
      | ~ p2(sF4,sF1)
      | ~ p2(f4(X1,c14),sF6) ),
    inference(subsumption_resolution,[],[f247,f1]) ).

fof(f247,plain,
    ! [X1] :
      ( ~ p2(c15,c15)
      | ~ p2(c16,X1)
      | ~ p2(f4(X1,c14),sF6)
      | ~ p2(sF4,sF1) ),
    inference(superposition,[],[f84,f30]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ p2(f4(X1,c14),sF1)
      | ~ p2(f4(X0,c14),sF6)
      | ~ p2(c16,X0)
      | ~ p2(c15,X1) ),
    inference(forward_demodulation,[],[f83,f24]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ p2(f4(X0,c14),sF6)
      | ~ p2(f4(X1,c14),f5(sF0,c19))
      | ~ p2(c15,X1)
      | ~ p2(c16,X0) ),
    inference(forward_demodulation,[],[f82,f34]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ p2(c15,X1)
      | ~ p2(f4(X0,c14),f5(sF0,c20))
      | ~ p2(c16,X0)
      | ~ p2(f4(X1,c14),f5(sF0,c19)) ),
    inference(subsumption_resolution,[],[f81,f5]) ).

fof(f5,axiom,
    p7(c9,c10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_5) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ~ p2(c16,X0)
      | ~ p2(f4(X1,c14),f5(sF0,c19))
      | ~ p7(c9,c10)
      | ~ p2(c15,X1)
      | ~ p2(f4(X0,c14),f5(sF0,c20)) ),
    inference(superposition,[],[f20,f23]) ).

fof(f20,axiom,
    ! [X26,X27,X25] :
      ( ~ p2(f4(X27,c14),f5(f6(X25),c20))
      | ~ p2(f4(X26,c14),f5(f6(X25),c19))
      | ~ p7(X25,c10)
      | ~ p2(c15,X26)
      | ~ p2(c16,X27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p7_20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SYN577-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.29  % Computer : n021.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Tue Aug 30 22:05:11 EDT 2022
% 0.10/0.29  % CPUTime    : 
% 0.14/0.39  % (17455)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.41  % (17455)Instruction limit reached!
% 0.14/0.41  % (17455)------------------------------
% 0.14/0.41  % (17455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.41  % (17455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.41  % (17455)Termination reason: Unknown
% 0.14/0.41  % (17455)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (17455)Memory used [KB]: 895
% 0.14/0.41  % (17455)Time elapsed: 0.003 s
% 0.14/0.41  % (17455)Instructions burned: 3 (million)
% 0.14/0.41  % (17455)------------------------------
% 0.14/0.41  % (17455)------------------------------
% 0.14/0.41  % (17451)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.42  % (17447)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)
% 0.14/0.43  % (17453)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)
% 0.14/0.43  % (17448)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)
% 0.14/0.44  % (17450)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)
% 0.14/0.44  % (17475)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)
% 0.14/0.44  TRYING [1]
% 0.14/0.44  TRYING [2]
% 0.14/0.44  % (17448)Refutation not found, incomplete strategy% (17448)------------------------------
% 0.14/0.44  % (17448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.45  TRYING [1]
% 0.14/0.45  % (17448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.45  % (17448)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.45  
% 0.14/0.45  % (17448)Memory used [KB]: 5373
% 0.14/0.45  % (17448)Time elapsed: 0.100 s
% 0.14/0.45  % (17448)Instructions burned: 2 (million)
% 0.14/0.45  % (17448)------------------------------
% 0.14/0.45  % (17448)------------------------------
% 0.14/0.45  TRYING [2]
% 0.14/0.45  % (17467)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)
% 0.14/0.45  % (17452)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)
% 0.14/0.46  % (17464)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)
% 0.14/0.47  % (17460)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.47  TRYING [3]
% 0.14/0.47  % (17465)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.14/0.47  % (17459)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)
% 0.14/0.47  % (17469)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.47  TRYING [3]
% 0.14/0.48  % (17471)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)
% 0.14/0.48  % (17472)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.48  % (17456)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)
% 0.14/0.48  % (17476)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.48  % (17468)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)
% 0.14/0.49  TRYING [1]
% 0.14/0.49  % (17454)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.49  % (17462)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)
% 0.14/0.49  % (17461)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.49  TRYING [2]
% 0.14/0.49  % (17463)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)
% 0.14/0.49  % (17454)Instruction limit reached!
% 0.14/0.49  % (17454)------------------------------
% 0.14/0.49  % (17454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49  % (17454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49  % (17454)Termination reason: Unknown
% 0.14/0.49  % (17454)Termination phase: Saturation
% 0.14/0.49  
% 0.14/0.49  % (17454)Memory used [KB]: 5500
% 0.14/0.49  % (17454)Time elapsed: 0.149 s
% 0.14/0.49  % (17454)Instructions burned: 7 (million)
% 0.14/0.49  % (17454)------------------------------
% 0.14/0.49  % (17454)------------------------------
% 0.14/0.49  % (17470)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)
% 0.14/0.50  % (17475)First to succeed.
% 0.14/0.50  % (17475)Refutation found. Thanks to Tanya!
% 0.14/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.50  % (17475)------------------------------
% 0.14/0.50  % (17475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50  % (17475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50  % (17475)Termination reason: Refutation
% 0.14/0.50  
% 0.14/0.50  % (17475)Memory used [KB]: 1151
% 0.14/0.50  % (17475)Time elapsed: 0.145 s
% 0.14/0.50  % (17475)Instructions burned: 19 (million)
% 0.14/0.50  % (17475)------------------------------
% 0.14/0.50  % (17475)------------------------------
% 0.14/0.50  % (17446)Success in time 0.2 s
%------------------------------------------------------------------------------