TSTP Solution File: GRP708-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n016.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 16:23:54 EDT 2022

% Result   : Unsatisfiable 1.76s 0.60s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f203,plain,
    $false,
    inference(subsumption_resolution,[],[f202,f15]) ).

fof(f15,plain,
    sF1 != sF3,
    inference(definition_folding,[],[f10,f14,f13,f12,f11]) ).

fof(f11,plain,
    mult(b,op_c) = sF0,
    introduced(function_definition,[]) ).

fof(f12,plain,
    sF1 = mult(a,sF0),
    introduced(function_definition,[]) ).

fof(f13,plain,
    mult(a,b) = sF2,
    introduced(function_definition,[]) ).

fof(f14,plain,
    mult(sF2,op_c) = sF3,
    introduced(function_definition,[]) ).

fof(f10,axiom,
    mult(a,mult(b,op_c)) != mult(mult(a,b),op_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f202,plain,
    sF1 = sF3,
    inference(forward_demodulation,[],[f201,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).

fof(f201,plain,
    ld(op_c,mult(op_c,sF1)) = sF3,
    inference(superposition,[],[f2,f118]) ).

fof(f118,plain,
    mult(op_c,sF3) = mult(op_c,sF1),
    inference(forward_demodulation,[],[f117,f48]) ).

fof(f48,plain,
    mult(op_c,sF2) = sF3,
    inference(superposition,[],[f8,f14]) ).

fof(f8,axiom,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).

fof(f117,plain,
    mult(op_c,mult(op_c,sF2)) = mult(op_c,sF1),
    inference(forward_demodulation,[],[f116,f12]) ).

fof(f116,plain,
    mult(op_c,mult(op_c,sF2)) = mult(op_c,mult(a,sF0)),
    inference(forward_demodulation,[],[f115,f47]) ).

fof(f47,plain,
    sF0 = mult(op_c,b),
    inference(superposition,[],[f8,f11]) ).

fof(f115,plain,
    mult(op_c,mult(op_c,sF2)) = mult(op_c,mult(a,mult(op_c,b))),
    inference(forward_demodulation,[],[f100,f86]) ).

fof(f86,plain,
    ! [X14,X15] : mult(mult(X14,X14),X15) = mult(X14,mult(X14,X15)),
    inference(forward_demodulation,[],[f65,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).

fof(f65,plain,
    ! [X14,X15] : mult(mult(X14,X14),X15) = mult(X14,mult(unit,mult(X14,X15))),
    inference(superposition,[],[f7,f6]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).

fof(f100,plain,
    mult(op_c,mult(a,mult(op_c,b))) = mult(mult(op_c,op_c),sF2),
    inference(superposition,[],[f88,f13]) ).

fof(f88,plain,
    ! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(op_c,mult(X0,mult(op_c,X1))),
    inference(forward_demodulation,[],[f87,f62]) ).

fof(f62,plain,
    ! [X6,X5] : mult(mult(op_c,mult(op_c,X5)),X6) = mult(op_c,mult(X5,mult(op_c,X6))),
    inference(superposition,[],[f7,f8]) ).

fof(f87,plain,
    ! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(mult(op_c,mult(op_c,X0)),X1),
    inference(backward_demodulation,[],[f9,f86]) ).

fof(f9,axiom,
    ! [X0,X1] : mult(mult(op_c,op_c),mult(X0,X1)) = mult(mult(mult(op_c,op_c),X0),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP708-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % 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 : n016.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 23:09:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (18212)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  % (18194)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (18186)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)
% 0.20/0.52  % (18193)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  % (18194)Instruction limit reached!
% 0.20/0.52  % (18194)------------------------------
% 0.20/0.52  % (18194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18194)Termination reason: Unknown
% 0.20/0.52  % (18194)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (18194)Memory used [KB]: 5373
% 0.20/0.52  % (18194)Time elapsed: 0.108 s
% 0.20/0.52  % (18194)Instructions burned: 2 (million)
% 0.20/0.52  % (18194)------------------------------
% 0.20/0.52  % (18194)------------------------------
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (18211)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  TRYING [4]
% 0.20/0.53  % (18195)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)
% 0.20/0.53  % (18203)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53  % (18197)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)
% 0.20/0.53  % (18187)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)
% 0.20/0.53  % (18196)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (18198)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (18193)Instruction limit reached!
% 0.20/0.53  % (18193)------------------------------
% 0.20/0.53  % (18193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (18193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (18193)Termination reason: Unknown
% 0.20/0.53  % (18193)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (18193)Memory used [KB]: 5500
% 0.20/0.53  % (18193)Time elapsed: 0.128 s
% 0.20/0.53  % (18193)Instructions burned: 7 (million)
% 0.20/0.53  % (18193)------------------------------
% 0.20/0.53  % (18193)------------------------------
% 0.20/0.54  % (18207)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (18200)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)
% 0.20/0.54  % (18215)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)
% 0.20/0.54  % (18188)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)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (18210)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (18213)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  TRYING [3]
% 0.20/0.54  % (18189)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)
% 0.20/0.54  % (18208)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)
% 0.20/0.55  % (18202)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)
% 0.20/0.55  % (18192)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)
% 0.20/0.55  % (18191)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)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (18209)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)
% 0.20/0.55  % (18204)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  TRYING [3]
% 0.20/0.55  % (18201)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)
% 0.20/0.55  TRYING [4]
% 0.20/0.55  % (18190)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (18199)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  TRYING [4]
% 0.20/0.55  % (18214)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.58/0.56  % (18205)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)
% 1.58/0.56  % (18206)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)
% 1.76/0.58  TRYING [5]
% 1.76/0.58  % (18213)First to succeed.
% 1.76/0.59  TRYING [5]
% 1.76/0.60  % (18203)Instruction limit reached!
% 1.76/0.60  % (18203)------------------------------
% 1.76/0.60  % (18203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (18188)Instruction limit reached!
% 1.76/0.60  % (18188)------------------------------
% 1.76/0.60  % (18188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (18188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (18188)Termination reason: Unknown
% 1.76/0.60  % (18188)Termination phase: Saturation
% 1.76/0.60  
% 1.76/0.60  % (18188)Memory used [KB]: 1535
% 1.76/0.60  % (18188)Time elapsed: 0.193 s
% 1.76/0.60  % (18188)Instructions burned: 37 (million)
% 1.76/0.60  % (18188)------------------------------
% 1.76/0.60  % (18188)------------------------------
% 1.76/0.60  % (18203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (18212)Instruction limit reached!
% 1.76/0.60  % (18212)------------------------------
% 1.76/0.60  % (18212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (18212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (18212)Termination reason: Unknown
% 1.76/0.60  % (18212)Termination phase: Saturation
% 1.76/0.60  
% 1.76/0.60  % (18212)Memory used [KB]: 6908
% 1.76/0.60  % (18212)Time elapsed: 0.037 s
% 1.76/0.60  % (18212)Instructions burned: 69 (million)
% 1.76/0.60  % (18212)------------------------------
% 1.76/0.60  % (18212)------------------------------
% 1.76/0.60  % (18203)Termination reason: Unknown
% 1.76/0.60  % (18203)Termination phase: Finite model building constraint generation
% 1.76/0.60  
% 1.76/0.60  % (18203)Memory used [KB]: 7931
% 1.76/0.60  % (18203)Time elapsed: 0.191 s
% 1.76/0.60  % (18203)Instructions burned: 59 (million)
% 1.76/0.60  % (18203)------------------------------
% 1.76/0.60  % (18203)------------------------------
% 1.76/0.60  % (18213)Refutation found. Thanks to Tanya!
% 1.76/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.76/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.60  % (18213)------------------------------
% 1.76/0.60  % (18213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (18213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (18213)Termination reason: Refutation
% 1.76/0.60  
% 1.76/0.60  % (18213)Memory used [KB]: 1151
% 1.76/0.60  % (18213)Time elapsed: 0.182 s
% 1.76/0.60  % (18213)Instructions burned: 12 (million)
% 1.76/0.60  % (18213)------------------------------
% 1.76/0.60  % (18213)------------------------------
% 1.76/0.60  % (18185)Success in time 0.248 s
%------------------------------------------------------------------------------