TSTP Solution File: RNG015-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% 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 : n017.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 18:15:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,plain,
    $false,
    inference(trivial_inequality_removal,[],[f310]) ).

fof(f310,plain,
    add(multiply(x,y),additive_inverse(multiply(x,z))) != add(multiply(x,y),additive_inverse(multiply(x,z))),
    inference(backward_demodulation,[],[f17,f304]) ).

fof(f304,plain,
    ! [X2,X3] : multiply(X2,additive_inverse(X3)) = additive_inverse(multiply(X2,X3)),
    inference(forward_demodulation,[],[f303,f7]) ).

fof(f7,axiom,
    ! [X0] : additive_inverse(additive_inverse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).

fof(f303,plain,
    ! [X2,X3] : additive_inverse(additive_inverse(multiply(X2,additive_inverse(X3)))) = additive_inverse(multiply(X2,X3)),
    inference(forward_demodulation,[],[f302,f1]) ).

fof(f1,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).

fof(f302,plain,
    ! [X2,X3] : additive_inverse(add(additive_identity,additive_inverse(multiply(X2,additive_inverse(X3))))) = additive_inverse(multiply(X2,X3)),
    inference(forward_demodulation,[],[f297,f237]) ).

fof(f237,plain,
    ! [X16,X15] : additive_inverse(add(X16,additive_inverse(X15))) = add(X15,additive_inverse(X16)),
    inference(superposition,[],[f32,f98]) ).

fof(f98,plain,
    ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))),
    inference(superposition,[],[f76,f7]) ).

fof(f76,plain,
    ! [X11,X12] : add(X12,additive_inverse(add(additive_inverse(X11),X12))) = X11,
    inference(forward_demodulation,[],[f72,f2]) ).

fof(f2,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).

fof(f72,plain,
    ! [X11,X12] : add(X11,additive_identity) = add(X12,additive_inverse(add(additive_inverse(X11),X12))),
    inference(superposition,[],[f32,f28]) ).

fof(f28,plain,
    ! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))),
    inference(superposition,[],[f6,f11]) ).

fof(f11,axiom,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).

fof(f6,axiom,
    ! [X0] : additive_identity = add(X0,additive_inverse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).

fof(f32,plain,
    ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f21,f1]) ).

fof(f21,plain,
    ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = add(additive_identity,X1),
    inference(superposition,[],[f11,f6]) ).

fof(f297,plain,
    ! [X2,X3] : additive_inverse(multiply(X2,X3)) = add(multiply(X2,additive_inverse(X3)),additive_inverse(additive_identity)),
    inference(superposition,[],[f98,f166]) ).

fof(f166,plain,
    ! [X0,X1] : additive_identity = add(multiply(X1,X0),multiply(X1,additive_inverse(X0))),
    inference(forward_demodulation,[],[f138,f4]) ).

fof(f4,axiom,
    ! [X0] : additive_identity = multiply(X0,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_zero) ).

fof(f138,plain,
    ! [X0,X1] : add(multiply(X1,X0),multiply(X1,additive_inverse(X0))) = multiply(X1,additive_identity),
    inference(superposition,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).

fof(f17,plain,
    add(multiply(x,y),additive_inverse(multiply(x,z))) != add(multiply(x,y),multiply(x,additive_inverse(z))),
    inference(forward_demodulation,[],[f16,f8]) ).

fof(f16,axiom,
    multiply(x,add(y,additive_inverse(z))) != add(multiply(x,y),additive_inverse(multiply(x,z))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % 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 : n017.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 11:13:50 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (27244)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)
% 0.20/0.50  % (27252)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (27250)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (27250)Instruction limit reached!
% 0.20/0.51  % (27250)------------------------------
% 0.20/0.51  % (27250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (27250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (27250)Termination reason: Unknown
% 0.20/0.51  % (27250)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (27250)Memory used [KB]: 5373
% 0.20/0.51  % (27250)Time elapsed: 0.105 s
% 0.20/0.51  % (27250)Instructions burned: 2 (million)
% 0.20/0.51  % (27250)------------------------------
% 0.20/0.51  % (27250)------------------------------
% 0.20/0.51  % (27269)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)
% 0.20/0.51  % (27266)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)
% 0.20/0.51  % (27251)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)
% 0.20/0.51  % (27242)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)
% 0.20/0.51  % (27245)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)
% 0.20/0.51  % (27246)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  % (27247)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)
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (27243)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)
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (27249)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (27253)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)
% 0.20/0.52  % (27259)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)
% 0.20/0.52  % (27257)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)
% 0.20/0.52  % (27248)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)
% 0.20/0.52  % (27271)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.53  TRYING [3]
% 0.20/0.53  % (27267)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (27265)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)
% 0.20/0.53  % (27258)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)
% 0.20/0.53  % (27263)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)
% 0.20/0.53  % (27264)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (27268)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (27270)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)
% 0.20/0.54  % (27249)Instruction limit reached!
% 0.20/0.54  % (27249)------------------------------
% 0.20/0.54  % (27249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27249)Termination reason: Unknown
% 0.20/0.54  % (27249)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (27249)Memory used [KB]: 5500
% 0.20/0.54  % (27249)Time elapsed: 0.086 s
% 0.20/0.54  % (27249)Instructions burned: 8 (million)
% 0.20/0.54  % (27249)------------------------------
% 0.20/0.54  % (27249)------------------------------
% 0.20/0.54  % (27266)First to succeed.
% 0.20/0.54  % (27266)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (27266)------------------------------
% 0.20/0.54  % (27266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (27266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (27266)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (27266)Memory used [KB]: 5756
% 0.20/0.54  % (27266)Time elapsed: 0.109 s
% 0.20/0.54  % (27266)Instructions burned: 18 (million)
% 0.20/0.54  % (27266)------------------------------
% 0.20/0.54  % (27266)------------------------------
% 0.20/0.54  % (27240)Success in time 0.19 s
%------------------------------------------------------------------------------