TSTP Solution File: GRP515-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP515-1 : 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_uns --cores 0 -t %d %s

% Computer : n011.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 16:16:25 EDT 2022

% Result   : Unsatisfiable 2.15s 0.64s
% Output   : Refutation 2.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   25 (  25 unt;   0 def)
%            Number of atoms       :   25 (  24 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f269,plain,
    $false,
    inference(subsumption_resolution,[],[f267,f266]) ).

fof(f266,plain,
    ! [X8,X9,X7] : multiply(X7,multiply(X8,X9)) = multiply(X9,multiply(X7,X8)),
    inference(forward_demodulation,[],[f265,f18]) ).

fof(f18,plain,
    ! [X15,X13] : multiply(X13,multiply(X15,inverse(X13))) = X15,
    inference(forward_demodulation,[],[f15,f9]) ).

fof(f9,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
    inference(superposition,[],[f3,f1]) ).

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

fof(f3,plain,
    ! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
    inference(superposition,[],[f1,f1]) ).

fof(f15,plain,
    ! [X14,X15,X13] : multiply(X13,multiply(multiply(X15,multiply(X14,inverse(X14))),inverse(X13))) = X15,
    inference(superposition,[],[f1,f9]) ).

fof(f265,plain,
    ! [X8,X6,X9,X7] : multiply(X7,multiply(X8,X9)) = multiply(X9,multiply(X7,multiply(X6,multiply(X8,inverse(X6))))),
    inference(forward_demodulation,[],[f264,f212]) ).

fof(f212,plain,
    ! [X14,X15,X13] : multiply(X15,multiply(X13,X14)) = multiply(multiply(X13,X15),X14),
    inference(superposition,[],[f205,f108]) ).

fof(f108,plain,
    ! [X10,X12,X13] : multiply(multiply(X12,X13),X10) = multiply(multiply(X12,X10),X13),
    inference(backward_demodulation,[],[f103,f104]) ).

fof(f104,plain,
    ! [X16,X14,X15] : multiply(X16,X14) = multiply(X14,multiply(X15,inverse(multiply(X15,inverse(X16))))),
    inference(superposition,[],[f18,f42]) ).

fof(f42,plain,
    ! [X18,X19,X20] : multiply(multiply(X20,multiply(X19,inverse(multiply(X19,X18)))),X18) = X20,
    inference(forward_demodulation,[],[f39,f36]) ).

fof(f36,plain,
    ! [X2,X3,X4] : multiply(X4,X3) = multiply(multiply(X2,X3),multiply(X4,inverse(X2))),
    inference(superposition,[],[f3,f21]) ).

fof(f21,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
    inference(superposition,[],[f3,f18]) ).

fof(f39,plain,
    ! [X18,X19,X17,X20] : multiply(multiply(X17,X18),multiply(multiply(X20,multiply(X19,inverse(multiply(X19,X18)))),inverse(X17))) = X20,
    inference(superposition,[],[f1,f21]) ).

fof(f103,plain,
    ! [X10,X11,X12,X13] : multiply(multiply(X12,X13),X10) = multiply(multiply(X10,multiply(X11,inverse(multiply(X11,inverse(X12))))),X13),
    inference(superposition,[],[f36,f42]) ).

fof(f205,plain,
    ! [X16,X14] : multiply(X16,X14) = multiply(X14,X16),
    inference(backward_demodulation,[],[f104,f191]) ).

fof(f191,plain,
    ! [X4,X5] : multiply(X5,inverse(multiply(X5,inverse(X4)))) = X4,
    inference(superposition,[],[f143,f9]) ).

fof(f143,plain,
    ! [X18,X19,X17] : multiply(X17,X18) = multiply(X19,multiply(multiply(X17,inverse(X19)),X18)),
    inference(superposition,[],[f18,f108]) ).

fof(f264,plain,
    ! [X8,X6,X9,X7] : multiply(X9,multiply(multiply(X6,X7),multiply(X8,inverse(X6)))) = multiply(X7,multiply(X8,X9)),
    inference(forward_demodulation,[],[f241,f212]) ).

fof(f241,plain,
    ! [X8,X6,X9,X7] : multiply(multiply(multiply(X6,X7),X9),multiply(X8,inverse(X6))) = multiply(X7,multiply(X8,X9)),
    inference(backward_demodulation,[],[f134,f212]) ).

fof(f134,plain,
    ! [X8,X6,X9,X7] : multiply(multiply(multiply(X6,X7),X9),multiply(X8,inverse(X6))) = multiply(multiply(X8,X7),X9),
    inference(superposition,[],[f108,f36]) ).

fof(f267,plain,
    multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(c3,a3)),
    inference(backward_demodulation,[],[f207,f266]) ).

fof(f207,plain,
    multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
    inference(backward_demodulation,[],[f2,f205]) ).

fof(f2,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP515-1 : 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_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:28:10 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (11140)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.55  % (11141)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.55  % (11139)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (11156)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.20/0.55  % (11139)Instruction limit reached!
% 0.20/0.55  % (11139)------------------------------
% 0.20/0.55  % (11139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (11148)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.20/0.56  % (11155)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.56  % (11157)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.20/0.56  % (11147)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.20/0.56  % (11149)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.56  % (11147)Refutation not found, incomplete strategy% (11147)------------------------------
% 0.20/0.56  % (11147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (11147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (11147)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (11147)Memory used [KB]: 5373
% 0.20/0.56  % (11147)Time elapsed: 0.141 s
% 0.20/0.56  % (11147)------------------------------
% 0.20/0.56  % (11147)------------------------------
% 0.20/0.56  % (11139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (11139)Termination reason: Unknown
% 0.20/0.56  % (11139)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (11139)Memory used [KB]: 5628
% 0.20/0.56  % (11139)Time elapsed: 0.129 s
% 0.20/0.56  % (11139)Instructions burned: 7 (million)
% 0.20/0.56  % (11139)------------------------------
% 0.20/0.56  % (11139)------------------------------
% 0.20/0.57  % (11137)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.74/0.59  % (11161)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 1.74/0.59  % (11144)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.74/0.59  % (11160)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 1.74/0.59  % (11142)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.74/0.59  % (11135)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.74/0.59  % (11136)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.74/0.60  % (11138)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.74/0.60  % (11134)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 1.74/0.60  % (11136)Instruction limit reached!
% 1.74/0.60  % (11136)------------------------------
% 1.74/0.60  % (11136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60  % (11143)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.74/0.60  % (11153)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.74/0.60  % (11145)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 1.74/0.60  % (11158)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.74/0.60  % (11133)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.74/0.60  % (11150)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 1.94/0.60  % (11159)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 1.94/0.61  % (11141)Instruction limit reached!
% 1.94/0.61  % (11141)------------------------------
% 1.94/0.61  % (11141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61  % (11141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61  % (11141)Termination reason: Unknown
% 1.94/0.61  % (11141)Termination phase: Saturation
% 1.94/0.61  
% 1.94/0.61  % (11141)Memory used [KB]: 11001
% 1.94/0.61  % (11141)Time elapsed: 0.180 s
% 1.94/0.61  % (11141)Instructions burned: 37 (million)
% 1.94/0.61  % (11141)------------------------------
% 1.94/0.61  % (11141)------------------------------
% 1.94/0.61  % (11154)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 1.94/0.61  % (11136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61  % (11136)Termination reason: Unknown
% 1.94/0.61  % (11136)Termination phase: Saturation
% 1.94/0.61  
% 1.94/0.61  % (11136)Memory used [KB]: 5628
% 1.94/0.61  % (11136)Time elapsed: 0.173 s
% 1.94/0.61  % (11136)Instructions burned: 7 (million)
% 1.94/0.61  % (11136)------------------------------
% 1.94/0.61  % (11136)------------------------------
% 1.94/0.62  % (11149)Instruction limit reached!
% 1.94/0.62  % (11149)------------------------------
% 1.94/0.62  % (11149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62  % (11151)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.94/0.62  % (11149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.62  % (11149)Termination reason: Unknown
% 1.94/0.62  % (11149)Termination phase: Saturation
% 1.94/0.62  
% 1.94/0.62  % (11149)Memory used [KB]: 6268
% 1.94/0.62  % (11149)Time elapsed: 0.190 s
% 1.94/0.62  % (11149)Instructions burned: 48 (million)
% 1.94/0.62  % (11149)------------------------------
% 1.94/0.62  % (11149)------------------------------
% 1.94/0.62  % (11152)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 1.94/0.62  % (11162)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.94/0.62  % (11146)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 1.94/0.62  % (11140)Instruction limit reached!
% 1.94/0.62  % (11140)------------------------------
% 1.94/0.62  % (11140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62  % (11140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.62  % (11140)Termination reason: Unknown
% 1.94/0.62  % (11140)Termination phase: Saturation
% 1.94/0.62  
% 1.94/0.62  % (11140)Memory used [KB]: 6012
% 1.94/0.62  % (11140)Time elapsed: 0.192 s
% 1.94/0.62  % (11140)Instructions burned: 34 (million)
% 1.94/0.62  % (11140)------------------------------
% 1.94/0.62  % (11140)------------------------------
% 1.94/0.62  % (11134)Instruction limit reached!
% 1.94/0.62  % (11134)------------------------------
% 1.94/0.62  % (11134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.62  % (11134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.62  % (11134)Termination reason: Unknown
% 1.94/0.62  % (11134)Termination phase: Saturation
% 1.94/0.62  
% 1.94/0.62  % (11134)Memory used [KB]: 5628
% 1.94/0.62  % (11134)Time elapsed: 0.159 s
% 1.94/0.62  % (11134)Instructions burned: 10 (million)
% 1.94/0.62  % (11134)------------------------------
% 1.94/0.62  % (11134)------------------------------
% 2.15/0.64  % (11153)First to succeed.
% 2.15/0.64  % (11153)Refutation found. Thanks to Tanya!
% 2.15/0.64  % SZS status Unsatisfiable for theBenchmark
% 2.15/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.64  % (11153)------------------------------
% 2.15/0.64  % (11153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.64  % (11153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.64  % (11153)Termination reason: Refutation
% 2.15/0.64  
% 2.15/0.64  % (11153)Memory used [KB]: 5756
% 2.15/0.64  % (11153)Time elapsed: 0.190 s
% 2.15/0.64  % (11153)Instructions burned: 23 (million)
% 2.15/0.64  % (11153)------------------------------
% 2.15/0.64  % (11153)------------------------------
% 2.15/0.64  % (11132)Success in time 0.276 s
%------------------------------------------------------------------------------