TSTP Solution File: GRP657-10 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP657-10 : TPTP v8.1.0. Released v8.1.0.
% 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 : n012.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 16:18:02 EDT 2022

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : Refutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% 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    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   0 con; 1-2 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f333,plain,
    $false,
    inference(trivial_inequality_removal,[],[f332]) ).

fof(f332,plain,
    ! [X31] : tuple(x1(ld(X31,X31)),x1_2(ld(X31,X31))) != tuple(x1(ld(X31,X31)),x1_2(ld(X31,X31))),
    inference(backward_demodulation,[],[f253,f329]) ).

fof(f329,plain,
    ! [X26,X25] : mult(X26,ld(X25,X25)) = X26,
    inference(forward_demodulation,[],[f328,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).

fof(f328,plain,
    ! [X26,X27,X25] : mult(rd(X26,X27),X27) = mult(X26,ld(X25,X25)),
    inference(backward_demodulation,[],[f258,f310]) ).

fof(f310,plain,
    ! [X6,X7] : rd(X6,ld(X7,X7)) = X6,
    inference(superposition,[],[f8,f271]) ).

fof(f271,plain,
    ! [X2,X1] : ld(X2,X2) = ld(X1,X1),
    inference(superposition,[],[f244,f244]) ).

fof(f244,plain,
    ! [X6,X7] : rd(X7,X7) = ld(X6,X6),
    inference(superposition,[],[f4,f235]) ).

fof(f235,plain,
    ! [X0,X1] : mult(ld(X0,X0),X1) = X1,
    inference(forward_demodulation,[],[f211,f4]) ).

fof(f211,plain,
    ! [X0,X1] : rd(mult(X1,X0),X0) = mult(ld(X0,X0),X1),
    inference(superposition,[],[f108,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).

fof(f108,plain,
    ! [X10,X8,X9] : rd(ld(X8,mult(X9,mult(X10,X8))),X8) = mult(ld(X8,X9),X10),
    inference(superposition,[],[f4,f28]) ).

fof(f28,plain,
    ! [X11,X12,X13] : mult(mult(ld(X11,X12),X13),X11) = ld(X11,mult(X12,mult(X13,X11))),
    inference(superposition,[],[f2,f13]) ).

fof(f13,plain,
    ! [X2,X0,X1] : mult(X1,mult(X2,X0)) = mult(X0,mult(mult(ld(X0,X1),X2),X0)),
    inference(superposition,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).

fof(f5,axiom,
    ! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,X0)) = mult(X0,mult(mult(X1,X2),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).

fof(f8,plain,
    ! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
    inference(superposition,[],[f4,f1]) ).

fof(f258,plain,
    ! [X26,X27,X25] : mult(rd(X26,rd(X27,ld(X25,X25))),X27) = mult(X26,ld(X25,X25)),
    inference(forward_demodulation,[],[f251,f235]) ).

fof(f251,plain,
    ! [X26,X27,X25] : mult(ld(X25,X25),mult(X26,ld(X25,X25))) = mult(rd(X26,rd(X27,ld(X25,X25))),X27),
    inference(superposition,[],[f37,f235]) ).

fof(f37,plain,
    ! [X2,X0,X1] : mult(mult(X2,rd(X0,rd(X1,X2))),X1) = mult(X2,mult(X0,X2)),
    inference(superposition,[],[f17,f3]) ).

fof(f17,plain,
    ! [X3,X4,X5] : mult(mult(X4,X5),X3) = mult(X4,mult(mult(X5,rd(X3,X4)),X4)),
    inference(superposition,[],[f5,f3]) ).

fof(f253,plain,
    ! [X31] : tuple(x1(ld(X31,X31)),x1_2(ld(X31,X31))) != tuple(x1(ld(X31,X31)),mult(x1_2(ld(X31,X31)),ld(X31,X31))),
    inference(superposition,[],[f6,f235]) ).

fof(f6,axiom,
    ! [X3] : tuple(mult(X3,x1(X3)),mult(x1_2(X3),X3)) != tuple(x1(X3),x1_2(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP657-10 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n012.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 22:41:51 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (28003)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)
% 0.20/0.48  % (27995)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51  % (27996)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)
% 0.20/0.51  % (27991)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)
% 0.20/0.51  % (27992)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)
% 0.20/0.51  % (27995)Instruction limit reached!
% 0.20/0.51  % (27995)------------------------------
% 0.20/0.51  % (27995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (28010)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)
% 0.20/0.52  % (27995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (27995)Termination reason: Unknown
% 0.20/0.52  % (27995)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (27995)Memory used [KB]: 6012
% 0.20/0.52  % (27995)Time elapsed: 0.088 s
% 0.20/0.52  % (27995)Instructions burned: 33 (million)
% 0.20/0.52  % (27995)------------------------------
% 0.20/0.52  % (27995)------------------------------
% 0.20/0.52  % (28011)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)
% 0.20/0.53  % (27989)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)
% 0.20/0.53  % (28015)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)
% 0.20/0.53  % (28016)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)
% 0.20/0.53  % (27988)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.53  % (28017)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)
% 0.20/0.53  % (27998)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)
% 0.20/0.53  % (27993)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)
% 0.20/0.53  % (27994)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)
% 0.20/0.53  % (27997)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)
% 0.20/0.53  % (27991)Instruction limit reached!
% 0.20/0.53  % (27991)------------------------------
% 0.20/0.53  % (27991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27991)Termination reason: Unknown
% 0.20/0.53  % (27991)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (27991)Memory used [KB]: 5628
% 0.20/0.53  % (27991)Time elapsed: 0.111 s
% 0.20/0.53  % (27991)Instructions burned: 6 (million)
% 0.20/0.53  % (27991)------------------------------
% 0.20/0.53  % (27991)------------------------------
% 0.20/0.53  % (27994)Instruction limit reached!
% 0.20/0.53  % (27994)------------------------------
% 0.20/0.53  % (27994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (27994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (27994)Termination reason: Unknown
% 0.20/0.53  % (27994)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (27994)Memory used [KB]: 5628
% 0.20/0.53  % (27994)Time elapsed: 0.095 s
% 0.20/0.53  % (27994)Instructions burned: 7 (million)
% 0.20/0.53  % (27994)------------------------------
% 0.20/0.53  % (27994)------------------------------
% 0.20/0.53  % (28007)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)
% 0.20/0.53  % (28002)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)
% 0.20/0.54  % (28014)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)
% 0.20/0.54  % (28013)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)
% 0.20/0.54  % (28009)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)
% 0.20/0.54  % (27999)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)
% 0.20/0.54  % (28008)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.54  % (28012)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)
% 0.20/0.54  % (27990)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)
% 0.20/0.54  % (28005)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)
% 0.20/0.54  % (28001)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)
% 0.20/0.55  % (28000)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)
% 0.20/0.55  % (28004)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)
% 0.20/0.55  % (28006)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)
% 0.20/0.55  % (27989)Instruction limit reached!
% 0.20/0.55  % (27989)------------------------------
% 0.20/0.55  % (27989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (27989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (27989)Termination reason: Unknown
% 0.20/0.55  % (27989)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (27989)Memory used [KB]: 5628
% 0.20/0.55  % (27989)Time elapsed: 0.157 s
% 0.20/0.55  % (27989)Instructions burned: 12 (million)
% 0.20/0.55  % (27989)------------------------------
% 0.20/0.55  % (27989)------------------------------
% 0.20/0.56  % (27993)Instruction limit reached!
% 0.20/0.56  % (27993)------------------------------
% 0.20/0.56  % (27993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (27993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (27993)Termination reason: Unknown
% 0.20/0.56  % (27993)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (27993)Memory used [KB]: 5756
% 0.20/0.56  % (27993)Time elapsed: 0.159 s
% 0.20/0.56  % (27993)Instructions burned: 22 (million)
% 0.20/0.56  % (27993)------------------------------
% 0.20/0.56  % (27993)------------------------------
% 0.20/0.57  % (28008)First to succeed.
% 0.20/0.59  % (27998)Instruction limit reached!
% 0.20/0.59  % (27998)------------------------------
% 0.20/0.59  % (27998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (27998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (27998)Termination reason: Unknown
% 0.20/0.59  % (27998)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (27998)Memory used [KB]: 6396
% 0.20/0.59  % (27998)Time elapsed: 0.188 s
% 0.20/0.59  % (27998)Instructions burned: 37 (million)
% 0.20/0.59  % (27998)------------------------------
% 0.20/0.59  % (27998)------------------------------
% 0.20/0.59  % (27996)Instruction limit reached!
% 0.20/0.59  % (27996)------------------------------
% 0.20/0.59  % (27996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (27996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (27996)Termination reason: Unknown
% 0.20/0.59  % (27996)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (27996)Memory used [KB]: 10746
% 0.20/0.59  % (27996)Time elapsed: 0.189 s
% 0.20/0.59  % (27996)Instructions burned: 37 (million)
% 0.20/0.59  % (27996)------------------------------
% 0.20/0.59  % (27996)------------------------------
% 0.20/0.59  % (27992)Instruction limit reached!
% 0.20/0.59  % (27992)------------------------------
% 0.20/0.59  % (27992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (27992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (27992)Termination reason: Unknown
% 0.20/0.59  % (27992)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (27992)Memory used [KB]: 6396
% 0.20/0.59  % (27992)Time elapsed: 0.191 s
% 0.20/0.59  % (27992)Instructions burned: 49 (million)
% 0.20/0.59  % (27992)------------------------------
% 0.20/0.59  % (27992)------------------------------
% 0.20/0.59  % (28008)Refutation found. Thanks to Tanya!
% 0.20/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.59  % (28008)------------------------------
% 1.81/0.59  % (28008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59  % (28008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59  % (28008)Termination reason: Refutation
% 1.81/0.59  
% 1.81/0.59  % (28008)Memory used [KB]: 5884
% 1.81/0.59  % (28008)Time elapsed: 0.176 s
% 1.81/0.59  % (28008)Instructions burned: 23 (million)
% 1.81/0.59  % (28008)------------------------------
% 1.81/0.59  % (28008)------------------------------
% 1.81/0.59  % (27987)Success in time 0.236 s
%------------------------------------------------------------------------------