TSTP Solution File: GRP710-10 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP710-10 : 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 : n029.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 16:18:23 EDT 2022

% Result   : Unsatisfiable 1.58s 0.54s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   33 (  33 unt;   0 def)
%            Number of atoms       :   33 (  32 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f374,plain,
    $false,
    inference(equality_resolution,[],[f363]) ).

fof(f363,plain,
    ! [X14] : x1 != X14,
    inference(superposition,[],[f6,f329]) ).

fof(f329,plain,
    ! [X2,X1] : mult(X1,mult(i(X1),X2)) = X2,
    inference(forward_demodulation,[],[f328,f28]) ).

fof(f28,plain,
    ! [X2,X3] : mult(X2,mult(i(X2),mult(i(X2),X3))) = mult(i(X2),X3),
    inference(forward_demodulation,[],[f16,f2]) ).

fof(f2,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

fof(f16,plain,
    ! [X2,X3] : mult(X2,mult(i(X2),mult(i(X2),X3))) = mult(mult(unit,i(X2)),X3),
    inference(superposition,[],[f3,f4]) ).

fof(f4,axiom,
    ! [X0] : unit = mult(X0,i(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

fof(f3,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

fof(f328,plain,
    ! [X2,X1] : mult(X1,mult(X1,mult(i(X1),mult(i(X1),X2)))) = X2,
    inference(forward_demodulation,[],[f327,f34]) ).

fof(f34,plain,
    ! [X4,X5] : mult(mult(X4,X4),X5) = mult(X4,mult(X4,X5)),
    inference(forward_demodulation,[],[f17,f2]) ).

fof(f17,plain,
    ! [X4,X5] : mult(unit,mult(X4,mult(X4,X5))) = mult(mult(X4,X4),X5),
    inference(superposition,[],[f3,f2]) ).

fof(f327,plain,
    ! [X2,X1] : mult(mult(X1,X1),mult(i(X1),mult(i(X1),X2))) = X2,
    inference(forward_demodulation,[],[f318,f186]) ).

fof(f186,plain,
    ! [X13] : i(i(X13)) = X13,
    inference(forward_demodulation,[],[f185,f1]) ).

fof(f1,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

fof(f185,plain,
    ! [X13] : mult(i(i(X13)),unit) = X13,
    inference(forward_demodulation,[],[f174,f5]) ).

fof(f5,axiom,
    ! [X0] : unit = mult(i(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

fof(f174,plain,
    ! [X13] : mult(i(i(X13)),mult(i(X13),X13)) = X13,
    inference(superposition,[],[f38,f49]) ).

fof(f49,plain,
    ! [X5] : mult(i(X5),mult(X5,X5)) = X5,
    inference(forward_demodulation,[],[f44,f2]) ).

fof(f44,plain,
    ! [X5] : mult(unit,X5) = mult(i(X5),mult(X5,X5)),
    inference(superposition,[],[f26,f5]) ).

fof(f26,plain,
    ! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
    inference(forward_demodulation,[],[f24,f1]) ).

fof(f24,plain,
    ! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,mult(X1,unit))),
    inference(superposition,[],[f1,f3]) ).

fof(f38,plain,
    ! [X10,X11] : mult(X10,X11) = mult(i(X10),mult(X10,mult(X10,X11))),
    inference(forward_demodulation,[],[f19,f2]) ).

fof(f19,plain,
    ! [X10,X11] : mult(mult(unit,X10),X11) = mult(i(X10),mult(X10,mult(X10,X11))),
    inference(superposition,[],[f3,f5]) ).

fof(f318,plain,
    ! [X2,X1] : mult(i(i(mult(X1,X1))),mult(i(X1),mult(i(X1),X2))) = X2,
    inference(superposition,[],[f83,f258]) ).

fof(f258,plain,
    ! [X3] : i(mult(X3,X3)) = mult(i(X3),i(X3)),
    inference(forward_demodulation,[],[f257,f1]) ).

fof(f257,plain,
    ! [X3] : mult(i(X3),i(X3)) = mult(i(mult(X3,X3)),unit),
    inference(forward_demodulation,[],[f236,f4]) ).

fof(f236,plain,
    ! [X3] : mult(i(mult(X3,X3)),mult(X3,i(X3))) = mult(i(X3),i(X3)),
    inference(superposition,[],[f83,f48]) ).

fof(f48,plain,
    ! [X1] : i(X1) = mult(X1,mult(i(X1),i(X1))),
    inference(forward_demodulation,[],[f41,f2]) ).

fof(f41,plain,
    ! [X1] : mult(unit,i(X1)) = mult(X1,mult(i(X1),i(X1))),
    inference(superposition,[],[f26,f4]) ).

fof(f83,plain,
    ! [X11,X12] : mult(i(mult(X11,X11)),mult(X11,mult(X11,X12))) = X12,
    inference(forward_demodulation,[],[f63,f2]) ).

fof(f63,plain,
    ! [X11,X12] : mult(unit,X12) = mult(i(mult(X11,X11)),mult(X11,mult(X11,X12))),
    inference(superposition,[],[f27,f5]) ).

fof(f27,plain,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
    inference(backward_demodulation,[],[f3,f26]) ).

fof(f6,axiom,
    ! [X3] : mult(x0,X3) != x1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP710-10 : TPTP v8.1.0. Released v8.1.0.
% 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
% 0.13/0.34  % Computer : n029.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 22:56:56 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (31881)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 (3000ds/111Mi)
% 0.19/0.49  % (31876)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 (3000ds/439Mi)
% 0.19/0.49  % (31873)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 (3000ds/212Mi)
% 0.19/0.50  % (31885)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 (3000ds/495Mi)
% 0.19/0.50  % (31865)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.19/0.50  % (31862)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 (3000ds/48Mi)
% 0.19/0.50  % (31864)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 (3000ds/7Mi)
% 0.19/0.50  % (31884)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 (3000ds/267Mi)
% 0.19/0.50  % (31871)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 (3000ds/353Mi)
% 0.19/0.50  % (31883)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 (3000ds/177Mi)
% 0.19/0.51  % (31877)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 (3000ds/103Mi)
% 0.19/0.51  % (31870)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 (3000ds/292Mi)
% 0.19/0.51  % (31863)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.19/0.51  % (31872)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 (3000ds/321Mi)
% 0.19/0.51  % (31878)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.19/0.52  % (31868)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 (3000ds/37Mi)
% 0.19/0.52  % (31867)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 (3000ds/46Mi)
% 0.19/0.52  % (31880)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.19/0.52  % (31861)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 (3000ds/6Mi)
% 0.19/0.52  % (31864)Instruction limit reached!
% 0.19/0.52  % (31864)------------------------------
% 0.19/0.52  % (31864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (31878)First to succeed.
% 1.38/0.52  % (31879)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 1.38/0.52  % (31886)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 (3000ds/381Mi)
% 1.38/0.52  % (31869)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 (3000ds/48Mi)
% 1.38/0.53  % (31859)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 (3000ds/10Mi)
% 1.38/0.53  % (31887)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 (3000ds/48Mi)
% 1.38/0.53  % (31882)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 (3000ds/248Mi)
% 1.38/0.53  % (31860)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 (3000ds/37Mi)
% 1.38/0.54  % (31861)Instruction limit reached!
% 1.38/0.54  % (31861)------------------------------
% 1.38/0.54  % (31861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (31864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (31864)Termination reason: Unknown
% 1.38/0.54  % (31864)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (31864)Memory used [KB]: 5500
% 1.38/0.54  % (31864)Time elapsed: 0.126 s
% 1.38/0.54  % (31864)Instructions burned: 7 (million)
% 1.38/0.54  % (31864)------------------------------
% 1.38/0.54  % (31864)------------------------------
% 1.38/0.54  % (31866)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 (3000ds/37Mi)
% 1.38/0.54  % (31859)Instruction limit reached!
% 1.38/0.54  % (31859)------------------------------
% 1.38/0.54  % (31859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (31859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (31859)Termination reason: Unknown
% 1.38/0.54  % (31859)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (31859)Memory used [KB]: 5500
% 1.38/0.54  % (31859)Time elapsed: 0.151 s
% 1.38/0.54  % (31859)Instructions burned: 11 (million)
% 1.38/0.54  % (31859)------------------------------
% 1.38/0.54  % (31859)------------------------------
% 1.38/0.54  % (31863)Instruction limit reached!
% 1.38/0.54  % (31863)------------------------------
% 1.38/0.54  % (31863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (31874)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 (3000ds/48Mi)
% 1.38/0.54  % (31863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (31863)Termination reason: Unknown
% 1.38/0.54  % (31863)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (31863)Memory used [KB]: 5628
% 1.38/0.54  % (31863)Time elapsed: 0.136 s
% 1.38/0.54  % (31863)Instructions burned: 21 (million)
% 1.38/0.54  % (31863)------------------------------
% 1.38/0.54  % (31863)------------------------------
% 1.38/0.54  % (31861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (31861)Termination reason: Unknown
% 1.38/0.54  % (31861)Termination phase: Saturation
% 1.38/0.54  
% 1.38/0.54  % (31861)Memory used [KB]: 5500
% 1.38/0.54  % (31861)Time elapsed: 0.147 s
% 1.38/0.54  % (31861)Instructions burned: 7 (million)
% 1.38/0.54  % (31861)------------------------------
% 1.38/0.54  % (31861)------------------------------
% 1.58/0.54  % (31858)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 1.58/0.54  % (31878)Refutation found. Thanks to Tanya!
% 1.58/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.58/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.55  % (31878)------------------------------
% 1.58/0.55  % (31878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.55  % (31878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.55  % (31878)Termination reason: Refutation
% 1.58/0.55  
% 1.58/0.55  % (31878)Memory used [KB]: 5628
% 1.58/0.55  % (31878)Time elapsed: 0.140 s
% 1.58/0.55  % (31878)Instructions burned: 16 (million)
% 1.58/0.55  % (31878)------------------------------
% 1.58/0.55  % (31878)------------------------------
% 1.58/0.55  % (31855)Success in time 0.199 s
%------------------------------------------------------------------------------