TSTP Solution File: SYN638-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN638-1 : 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 : n029.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 19:39:08 EDT 2022

% Result   : Unsatisfiable 1.49s 0.56s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   36 (  30 unt;   0 def)
%            Number of atoms       :   46 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  18 con; 0-3 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f602,plain,
    $false,
    inference(subsumption_resolution,[],[f601,f52]) ).

fof(f52,plain,
    ~ p22(sF6,sF9),
    inference(definition_folding,[],[f41,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42]) ).

fof(f42,plain,
    f11(c25) = sF0,
    introduced(function_definition,[]) ).

fof(f43,plain,
    f10(c25) = sF1,
    introduced(function_definition,[]) ).

fof(f44,plain,
    f9(sF1,c28) = sF2,
    introduced(function_definition,[]) ).

fof(f45,plain,
    f8(sF0,sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f46,plain,
    sF4 = f5(sF3,c26,c29),
    introduced(function_definition,[]) ).

fof(f47,plain,
    sF5 = f17(c27,sF4),
    introduced(function_definition,[]) ).

fof(f48,plain,
    sF6 = f16(sF5),
    introduced(function_definition,[]) ).

fof(f49,plain,
    f5(c25,c26,c27) = sF7,
    introduced(function_definition,[]) ).

fof(f50,plain,
    sF8 = f17(c27,sF7),
    introduced(function_definition,[]) ).

fof(f51,plain,
    f16(sF8) = sF9,
    introduced(function_definition,[]) ).

fof(f41,axiom,
    ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p22_41) ).

fof(f601,plain,
    p22(sF6,sF9),
    inference(resolution,[],[f454,f4]) ).

fof(f4,axiom,
    ! [X3] : p4(X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).

fof(f454,plain,
    ! [X0] :
      ( ~ p4(sF9,X0)
      | p22(sF6,X0) ),
    inference(resolution,[],[f431,f156]) ).

fof(f156,plain,
    ! [X2,X3] :
      ( ~ p4(sF17,X2)
      | p22(X2,X3)
      | ~ p4(sF9,X3) ),
    inference(resolution,[],[f28,f66]) ).

fof(f66,plain,
    p22(sF17,sF9),
    inference(definition_folding,[],[f40,f51,f50,f49,f65,f64,f57,f45,f44,f43,f42]) ).

fof(f57,plain,
    f5(sF3,c26,c27) = sF13,
    introduced(function_definition,[]) ).

fof(f64,plain,
    f17(c27,sF13) = sF16,
    introduced(function_definition,[]) ).

fof(f65,plain,
    sF17 = f16(sF16),
    introduced(function_definition,[]) ).

fof(f40,axiom,
    p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_40) ).

fof(f28,axiom,
    ! [X48,X46,X49,X47] :
      ( ~ p22(X48,X49)
      | p22(X46,X47)
      | ~ p4(X49,X47)
      | ~ p4(X48,X46) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_28) ).

fof(f431,plain,
    p4(sF17,sF6),
    inference(forward_demodulation,[],[f430,f65]) ).

fof(f430,plain,
    p4(f16(sF16),sF6),
    inference(forward_demodulation,[],[f412,f48]) ).

fof(f412,plain,
    p4(f16(sF16),f16(sF5)),
    inference(resolution,[],[f410,f12]) ).

fof(f12,axiom,
    ! [X10,X11] :
      ( ~ p4(X10,X11)
      | p4(f16(X10),f16(X11)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_12) ).

fof(f410,plain,
    p4(sF16,sF5),
    inference(forward_demodulation,[],[f409,f64]) ).

fof(f409,plain,
    p4(f17(c27,sF13),sF5),
    inference(superposition,[],[f379,f47]) ).

fof(f379,plain,
    ! [X0] : p4(f17(X0,sF13),f17(X0,sF4)),
    inference(resolution,[],[f309,f4]) ).

fof(f309,plain,
    ! [X31,X32] :
      ( ~ p4(X31,X32)
      | p4(f17(X31,sF13),f17(X32,sF4)) ),
    inference(resolution,[],[f32,f95]) ).

fof(f95,plain,
    p4(sF13,sF4),
    inference(forward_demodulation,[],[f94,f57]) ).

fof(f94,plain,
    p4(f5(sF3,c26,c27),sF4),
    inference(superposition,[],[f63,f46]) ).

fof(f63,plain,
    ! [X73] : p4(f5(sF3,X73,c27),f5(sF3,X73,c29)),
    inference(definition_folding,[],[f39,f45,f44,f43,f42,f45,f44,f43,f42]) ).

fof(f39,axiom,
    ! [X73] : p4(f5(f8(f11(c25),f9(f10(c25),c28)),X73,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X73,c29)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_39) ).

fof(f32,axiom,
    ! [X65,X62,X63,X64] :
      ( ~ p4(X63,X65)
      | p4(f17(X62,X63),f17(X64,X65))
      | ~ p4(X62,X64) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_32) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN638-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 22:23:12 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (2609)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.50  % (2618)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)
% 0.21/0.51  % (2610)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)
% 0.21/0.51  % (2599)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  % (2601)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)
% 0.21/0.52  % (2602)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52  TRYING [1]
% 0.21/0.52  % (2617)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.52  % (2625)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)
% 0.21/0.52  TRYING [2]
% 0.21/0.53  % (2607)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)
% 0.21/0.53  % (2597)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)
% 0.21/0.53  % (2596)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)
% 0.21/0.53  TRYING [3]
% 0.21/0.53  % (2596)Refutation not found, incomplete strategy% (2596)------------------------------
% 0.21/0.53  % (2596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (2596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (2596)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (2596)Memory used [KB]: 5500
% 0.21/0.53  % (2596)Time elapsed: 0.116 s
% 0.21/0.53  % (2596)Instructions burned: 2 (million)
% 0.21/0.53  % (2596)------------------------------
% 0.21/0.53  % (2596)------------------------------
% 0.21/0.53  % (2622)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)
% 0.21/0.53  % (2624)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53  % (2598)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)
% 0.21/0.53  % (2600)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)
% 0.21/0.54  % (2620)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54  % (2595)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)
% 0.21/0.54  % (2623)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)
% 0.21/0.54  % (2621)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54  % (2602)Instruction limit reached!
% 0.21/0.54  % (2602)------------------------------
% 0.21/0.54  % (2602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (2602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (2602)Termination reason: Unknown
% 0.21/0.54  % (2602)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (2602)Memory used [KB]: 5500
% 0.21/0.54  % (2602)Time elapsed: 0.129 s
% 0.21/0.54  % (2602)Instructions burned: 7 (million)
% 0.21/0.54  % (2602)------------------------------
% 0.21/0.54  % (2602)------------------------------
% 0.21/0.54  % (2612)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)
% 0.21/0.54  % (2614)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  % (2613)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54  % (2615)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)
% 0.21/0.54  TRYING [3]
% 0.21/0.54  % (2605)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)
% 0.21/0.54  % (2616)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)
% 0.21/0.55  % (2619)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)
% 0.21/0.55  % (2606)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55  % (2608)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [2]
% 0.21/0.55  % (2611)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)
% 1.49/0.56  TRYING [3]
% 1.49/0.56  % (2603)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.56  % (2603)Instruction limit reached!
% 1.49/0.56  % (2603)------------------------------
% 1.49/0.56  % (2603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (2603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (2603)Termination reason: Unknown
% 1.49/0.56  % (2603)Termination phase: Saturation
% 1.49/0.56  
% 1.49/0.56  % (2603)Memory used [KB]: 895
% 1.49/0.56  % (2603)Time elapsed: 0.002 s
% 1.49/0.56  % (2603)Instructions burned: 2 (million)
% 1.49/0.56  % (2603)------------------------------
% 1.49/0.56  % (2603)------------------------------
% 1.49/0.56  % (2599)First to succeed.
% 1.49/0.56  % (2624)Also succeeded, but the first one will report.
% 1.49/0.56  % (2599)Refutation found. Thanks to Tanya!
% 1.49/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.49/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.56  % (2599)------------------------------
% 1.49/0.56  % (2599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56  % (2599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56  % (2599)Termination reason: Refutation
% 1.49/0.56  
% 1.49/0.56  % (2599)Memory used [KB]: 6012
% 1.49/0.56  % (2599)Time elapsed: 0.154 s
% 1.49/0.56  % (2599)Instructions burned: 28 (million)
% 1.49/0.56  % (2599)------------------------------
% 1.49/0.56  % (2599)------------------------------
% 1.49/0.56  % (2594)Success in time 0.2 s
%------------------------------------------------------------------------------