TSTP Solution File: GRP613-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP613-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n007.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 16:23:01 EDT 2022

% Result   : Unsatisfiable 1.65s 0.59s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   29 (  29 unt;   0 def)
%            Number of atoms       :   29 (  28 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   59 (  59   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f359,plain,
    $false,
    inference(equality_resolution,[],[f347]) ).

fof(f347,plain,
    ! [X0] : inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(X0,inverse(X0))),
    inference(superposition,[],[f4,f305]) ).

fof(f305,plain,
    ! [X16,X15] : double_divide(X16,inverse(X16)) = double_divide(X15,inverse(X15)),
    inference(superposition,[],[f226,f171]) ).

fof(f171,plain,
    ! [X10,X11] : double_divide(inverse(X11),double_divide(X10,inverse(X10))) = X11,
    inference(backward_demodulation,[],[f26,f156]) ).

fof(f156,plain,
    ! [X2,X3] : double_divide(X2,inverse(X3)) = double_divide(inverse(X3),X2),
    inference(backward_demodulation,[],[f123,f128]) ).

fof(f128,plain,
    ! [X3] : inverse(inverse(X3)) = X3,
    inference(superposition,[],[f61,f35]) ).

fof(f35,plain,
    ! [X10,X11] : double_divide(inverse(double_divide(inverse(X10),X10)),inverse(X11)) = X11,
    inference(superposition,[],[f26,f20]) ).

fof(f20,plain,
    ! [X3,X1] : double_divide(inverse(double_divide(inverse(X3),inverse(X1))),X3) = X1,
    inference(forward_demodulation,[],[f12,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(X3),double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(inverse(X1)))),X2)),double_divide(X0,X2)))),X3) = X1,
    inference(superposition,[],[f6,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),inverse(X3))),double_divide(X0,X2))),X1) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f61,plain,
    ! [X24,X25] : double_divide(inverse(double_divide(inverse(X25),inverse(X24))),X24) = X25,
    inference(forward_demodulation,[],[f56,f35]) ).

fof(f56,plain,
    ! [X24,X25,X23] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X23),X23)),inverse(X25))),inverse(X24))),X24) = X25,
    inference(superposition,[],[f1,f35]) ).

fof(f123,plain,
    ! [X2,X3] : double_divide(inverse(X3),X2) = double_divide(inverse(inverse(X2)),inverse(X3)),
    inference(superposition,[],[f61,f20]) ).

fof(f26,plain,
    ! [X10,X11] : double_divide(inverse(X11),double_divide(inverse(X10),X10)) = X11,
    inference(superposition,[],[f1,f20]) ).

fof(f226,plain,
    ! [X24,X25] : double_divide(double_divide(X24,X25),X24) = X25,
    inference(backward_demodulation,[],[f61,f200]) ).

fof(f200,plain,
    ! [X6,X7] : inverse(double_divide(inverse(X6),inverse(X7))) = double_divide(X7,X6),
    inference(superposition,[],[f183,f61]) ).

fof(f183,plain,
    ! [X28,X30] : double_divide(X30,double_divide(X28,X30)) = X28,
    inference(forward_demodulation,[],[f155,f128]) ).

fof(f155,plain,
    ! [X28,X30] : double_divide(X30,double_divide(inverse(inverse(X28)),X30)) = X28,
    inference(backward_demodulation,[],[f112,f128]) ).

fof(f112,plain,
    ! [X28,X30] : double_divide(inverse(inverse(X30)),double_divide(inverse(inverse(X28)),X30)) = X28,
    inference(forward_demodulation,[],[f97,f65]) ).

fof(f65,plain,
    ! [X6,X7] : inverse(X7) = double_divide(inverse(double_divide(inverse(X6),X6)),X7),
    inference(superposition,[],[f59,f35]) ).

fof(f59,plain,
    ! [X14,X13] : double_divide(inverse(X13),double_divide(inverse(X13),X14)) = X14,
    inference(forward_demodulation,[],[f53,f35]) ).

fof(f53,plain,
    ! [X14,X12,X13] : double_divide(inverse(X13),double_divide(inverse(X13),double_divide(inverse(double_divide(inverse(X12),X12)),inverse(X14)))) = X14,
    inference(superposition,[],[f5,f35]) ).

fof(f5,plain,
    ! [X2,X0,X1] : double_divide(inverse(X1),double_divide(inverse(double_divide(X0,inverse(X1))),double_divide(X0,inverse(X2)))) = X2,
    inference(superposition,[],[f1,f1]) ).

fof(f97,plain,
    ! [X28,X29,X30] : double_divide(inverse(double_divide(inverse(double_divide(inverse(X29),X29)),X30)),double_divide(inverse(inverse(X28)),X30)) = X28,
    inference(superposition,[],[f1,f68]) ).

fof(f68,plain,
    ! [X14,X15] : double_divide(inverse(X15),X15) = double_divide(inverse(X14),X14),
    inference(superposition,[],[f59,f26]) ).

fof(f4,plain,
    inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
    inference(definition_unfolding,[],[f3,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

fof(f3,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP613-1 : TPTP v8.1.0. Released v2.6.0.
% 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
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:19:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (7477)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.49  % (7485)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 (3000ds/68Mi)
% 0.20/0.50  % (7463)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.51  % (7480)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.51  % (7472)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.52  % (7459)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52  % (7467)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.52  % (7467)Instruction limit reached!
% 0.20/0.52  % (7467)------------------------------
% 0.20/0.52  % (7467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (7467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (7467)Termination reason: Unknown
% 0.20/0.52  % (7467)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (7467)Memory used [KB]: 5373
% 0.20/0.52  % (7467)Time elapsed: 0.125 s
% 0.20/0.52  % (7467)Instructions burned: 3 (million)
% 0.20/0.52  % (7467)------------------------------
% 0.20/0.52  % (7467)------------------------------
% 0.20/0.52  % (7469)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.53  % (7468)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 (3000ds/51Mi)
% 0.20/0.53  % (7481)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 (3000ds/498Mi)
% 0.20/0.53  % (7462)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53  % (7464)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 (3000ds/48Mi)
% 0.20/0.53  % (7479)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 (3000ds/176Mi)
% 0.20/0.53  % (7487)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.20/0.54  % (7484)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.54  % (7483)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.54  % (7471)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.54  % (7478)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 (3000ds/100Mi)
% 0.20/0.54  % (7476)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.54  % (7458)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 (3000ds/191324Mi)
% 0.20/0.54  % (7461)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 (3000ds/37Mi)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (7470)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.54  % (7486)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 (3000ds/177Mi)
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (7473)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 (3000ds/68Mi)
% 0.20/0.55  % (7466)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.55  % (7466)Instruction limit reached!
% 0.20/0.55  % (7466)------------------------------
% 0.20/0.55  % (7466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (7466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (7466)Termination reason: Unknown
% 0.20/0.55  % (7466)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (7466)Memory used [KB]: 5500
% 0.20/0.55  % (7466)Time elapsed: 0.148 s
% 0.20/0.55  % (7466)Instructions burned: 8 (million)
% 0.20/0.55  % (7466)------------------------------
% 0.20/0.55  % (7466)------------------------------
% 0.20/0.55  TRYING [1]
% 0.20/0.55  % (7488)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 (3000ds/355Mi)
% 0.20/0.55  TRYING [2]
% 0.20/0.56  TRYING [3]
% 0.20/0.56  % (7482)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 (3000ds/467Mi)
% 0.20/0.56  % (7465)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.56  TRYING [1]
% 0.20/0.56  TRYING [4]
% 0.20/0.56  % (7474)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 (3000ds/75Mi)
% 0.20/0.56  TRYING [2]
% 0.20/0.57  TRYING [4]
% 0.20/0.57  TRYING [3]
% 0.20/0.57  % (7475)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 (3000ds/99Mi)
% 0.20/0.57  TRYING [4]
% 0.20/0.58  % (7485)Instruction limit reached!
% 0.20/0.58  % (7485)------------------------------
% 0.20/0.58  % (7485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (7485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (7485)Termination reason: Unknown
% 0.20/0.58  % (7485)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (7485)Memory used [KB]: 6908
% 0.20/0.58  % (7485)Time elapsed: 0.044 s
% 0.20/0.58  % (7485)Instructions burned: 69 (million)
% 0.20/0.58  % (7485)------------------------------
% 0.20/0.58  % (7485)------------------------------
% 0.20/0.59  % (7468)First to succeed.
% 1.65/0.59  % (7468)Refutation found. Thanks to Tanya!
% 1.65/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.65/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.59  % (7468)------------------------------
% 1.65/0.59  % (7468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59  % (7468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59  % (7468)Termination reason: Refutation
% 1.65/0.59  
% 1.65/0.59  % (7468)Memory used [KB]: 1407
% 1.65/0.59  % (7468)Time elapsed: 0.176 s
% 1.65/0.59  % (7468)Instructions burned: 36 (million)
% 1.65/0.59  % (7468)------------------------------
% 1.65/0.59  % (7468)------------------------------
% 1.65/0.59  % (7457)Success in time 0.236 s
%------------------------------------------------------------------------------