TSTP Solution File: GRP462-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP462-1 : 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 : 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 16:22:35 EDT 2022

% Result   : Unsatisfiable 1.53s 0.60s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   27 (  27 unt;   0 def)
%            Number of atoms       :   27 (  26 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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1444,plain,
    $false,
    inference(subsumption_resolution,[],[f560,f1127]) ).

fof(f1127,plain,
    ! [X31,X29,X30] : divide(divide(X29,divide(identity,X30)),X31) = divide(X29,divide(X31,X30)),
    inference(superposition,[],[f1091,f319]) ).

fof(f319,plain,
    ! [X0,X1] : divide(divide(X0,divide(identity,X1)),X1) = X0,
    inference(forward_demodulation,[],[f276,f43]) ).

fof(f43,plain,
    ! [X0] : divide(identity,divide(identity,X0)) = X0,
    inference(forward_demodulation,[],[f29,f16]) ).

fof(f16,plain,
    ! [X0] : divide(X0,identity) = X0,
    inference(superposition,[],[f7,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

fof(f7,plain,
    ! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
    inference(forward_demodulation,[],[f1,f4]) ).

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

fof(f29,plain,
    ! [X0] : divide(identity,divide(divide(identity,X0),identity)) = X0,
    inference(superposition,[],[f23,f4]) ).

fof(f23,plain,
    ! [X4,X5] : divide(X4,divide(divide(identity,X5),divide(identity,X4))) = X5,
    inference(forward_demodulation,[],[f21,f16]) ).

fof(f21,plain,
    ! [X4,X5] : divide(X4,divide(divide(divide(identity,X5),identity),divide(identity,X4))) = X5,
    inference(superposition,[],[f7,f16]) ).

fof(f276,plain,
    ! [X0,X1] : divide(divide(divide(identity,divide(identity,X0)),divide(identity,X1)),X1) = X0,
    inference(superposition,[],[f23,f10]) ).

fof(f10,plain,
    ! [X0,X1] : divide(X1,divide(identity,divide(divide(identity,X1),divide(identity,X0)))) = X0,
    inference(superposition,[],[f7,f4]) ).

fof(f1091,plain,
    ! [X58,X59,X57] : divide(divide(X57,X58),divide(X59,X58)) = divide(X57,X59),
    inference(forward_demodulation,[],[f1078,f43]) ).

fof(f1078,plain,
    ! [X58,X59,X57] : divide(X57,X59) = divide(divide(X57,X58),divide(divide(identity,divide(identity,X59)),X58)),
    inference(superposition,[],[f319,f780]) ).

fof(f780,plain,
    ! [X11,X12,X13] : divide(divide(divide(X11,X13),divide(divide(identity,X12),X13)),X12) = X11,
    inference(forward_demodulation,[],[f727,f43]) ).

fof(f727,plain,
    ! [X11,X12,X13] : divide(divide(divide(divide(identity,divide(identity,X11)),X13),divide(divide(identity,X12),X13)),X12) = X11,
    inference(superposition,[],[f472,f7]) ).

fof(f472,plain,
    ! [X18,X19,X20] : divide(divide(X18,X19),divide(divide(identity,X20),divide(X19,X18))) = X20,
    inference(superposition,[],[f23,f392]) ).

fof(f392,plain,
    ! [X14,X13] : divide(X14,X13) = divide(identity,divide(X13,X14)),
    inference(forward_demodulation,[],[f381,f43]) ).

fof(f381,plain,
    ! [X14,X13] : divide(identity,divide(X13,divide(identity,divide(identity,X14)))) = divide(X14,X13),
    inference(superposition,[],[f42,f319]) ).

fof(f42,plain,
    ! [X4,X5] : divide(identity,X4) = divide(X5,divide(X4,divide(identity,X5))),
    inference(forward_demodulation,[],[f41,f16]) ).

fof(f41,plain,
    ! [X4,X5] : divide(X5,divide(X4,divide(identity,X5))) = divide(divide(identity,X4),identity),
    inference(forward_demodulation,[],[f27,f4]) ).

fof(f27,plain,
    ! [X4,X5] : divide(divide(identity,X4),divide(identity,identity)) = divide(X5,divide(X4,divide(identity,X5))),
    inference(superposition,[],[f23,f23]) ).

fof(f560,plain,
    divide(a3,divide(divide(identity,c3),b3)) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
    inference(forward_demodulation,[],[f6,f392]) ).

fof(f6,plain,
    divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
    inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).

fof(f5,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP462-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % 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 : n021.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 22:26:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.51  % (21170)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51  % (21169)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)
% 0.21/0.51  % (21158)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)
% 0.21/0.51  % (21168)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52  % (21179)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  % (21167)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)
% 0.21/0.52  % (21174)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)
% 0.21/0.52  TRYING [1]
% 0.21/0.52  TRYING [2]
% 0.21/0.52  % (21172)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)
% 0.21/0.52  % (21162)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  TRYING [3]
% 0.21/0.52  % (21187)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  % (21163)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)
% 0.21/0.52  % (21164)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)
% 0.21/0.53  TRYING [1]
% 0.21/0.53  TRYING [2]
% 0.21/0.53  TRYING [3]
% 1.44/0.53  % (21166)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.44/0.53  % (21161)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)
% 1.44/0.53  TRYING [4]
% 1.44/0.53  % (21173)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)
% 1.44/0.53  TRYING [4]
% 1.44/0.53  % (21182)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.53  % (21180)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)
% 1.44/0.54  % (21159)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)
% 1.44/0.54  % (21177)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)
% 1.44/0.54  % (21166)Instruction limit reached!
% 1.44/0.54  % (21166)------------------------------
% 1.44/0.54  % (21166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54  % (21181)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)
% 1.44/0.54  % (21166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54  % (21166)Termination reason: Unknown
% 1.44/0.54  % (21166)Termination phase: Saturation
% 1.44/0.54  
% 1.44/0.54  % (21166)Memory used [KB]: 5373
% 1.44/0.54  % (21166)Time elapsed: 0.135 s
% 1.44/0.54  % (21166)Instructions burned: 3 (million)
% 1.44/0.54  % (21166)------------------------------
% 1.44/0.54  % (21166)------------------------------
% 1.44/0.54  % (21165)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.54  % (21176)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.54  % (21186)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.54  % (21165)Instruction limit reached!
% 1.44/0.54  % (21165)------------------------------
% 1.44/0.54  % (21165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54  % (21165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54  % (21165)Termination reason: Unknown
% 1.44/0.54  % (21165)Termination phase: Saturation
% 1.44/0.54  
% 1.44/0.54  % (21165)Memory used [KB]: 5500
% 1.44/0.54  % (21165)Time elapsed: 0.107 s
% 1.44/0.54  % (21165)Instructions burned: 7 (million)
% 1.44/0.54  % (21165)------------------------------
% 1.44/0.54  % (21165)------------------------------
% 1.44/0.54  % (21160)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)
% 1.44/0.54  % (21183)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.53/0.55  % (21171)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.55  % (21184)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)
% 1.53/0.55  % (21185)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)
% 1.53/0.56  TRYING [5]
% 1.53/0.56  % (21178)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)
% 1.53/0.57  % (21175)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.53/0.58  TRYING [1]
% 1.53/0.58  TRYING [2]
% 1.53/0.58  TRYING [3]
% 1.53/0.58  TRYING [4]
% 1.53/0.58  TRYING [5]
% 1.53/0.58  % (21164)Instruction limit reached!
% 1.53/0.58  % (21164)------------------------------
% 1.53/0.58  % (21164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59  % (21160)Instruction limit reached!
% 1.53/0.59  % (21160)------------------------------
% 1.53/0.59  % (21160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59  % (21170)Instruction limit reached!
% 1.53/0.59  % (21170)------------------------------
% 1.53/0.59  % (21170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59  % (21170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59  % (21170)Termination reason: Unknown
% 1.53/0.59  % (21170)Termination phase: Saturation
% 1.53/0.59  
% 1.53/0.59  % (21170)Memory used [KB]: 7036
% 1.53/0.59  % (21170)Time elapsed: 0.183 s
% 1.53/0.59  % (21170)Instructions burned: 101 (million)
% 1.53/0.59  % (21170)------------------------------
% 1.53/0.59  % (21170)------------------------------
% 1.53/0.60  % (21164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60  % (21164)Termination reason: Unknown
% 1.53/0.60  % (21164)Termination phase: Finite model building constraint generation
% 1.53/0.60  
% 1.53/0.60  % (21164)Memory used [KB]: 6524
% 1.53/0.60  % (21164)Time elapsed: 0.183 s
% 1.53/0.60  % (21164)Instructions burned: 51 (million)
% 1.53/0.60  % (21164)------------------------------
% 1.53/0.60  % (21164)------------------------------
% 1.53/0.60  % (21174)First to succeed.
% 1.53/0.60  % (21174)Refutation found. Thanks to Tanya!
% 1.53/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.53/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.60  % (21174)------------------------------
% 1.53/0.60  % (21174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60  % (21174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60  % (21174)Termination reason: Refutation
% 1.53/0.60  
% 1.53/0.60  % (21174)Memory used [KB]: 6268
% 1.53/0.60  % (21174)Time elapsed: 0.206 s
% 1.53/0.60  % (21174)Instructions burned: 57 (million)
% 1.53/0.60  % (21174)------------------------------
% 1.53/0.60  % (21174)------------------------------
% 1.53/0.60  % (21155)Success in time 0.252 s
%------------------------------------------------------------------------------