TSTP Solution File: GRP704-10 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP704-10 : 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 : n014.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 16:18:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   29 (  29 unt;   0 def)
%            Number of atoms       :   29 (  28 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f297,plain,
    $false,
    inference(subsumption_resolution,[],[f295,f8]) ).

fof(f8,axiom,
    ! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).

fof(f295,plain,
    mult(op_c,mult(x4,x5)) != mult(mult(op_c,x4),x5),
    inference(backward_demodulation,[],[f14,f293]) ).

fof(f293,plain,
    op_c = op_f,
    inference(forward_demodulation,[],[f292,f210]) ).

fof(f210,plain,
    ! [X0] : op_c = mult(ld(X0,op_c),X0),
    inference(superposition,[],[f180,f28]) ).

fof(f28,plain,
    ! [X2,X1] : rd(X2,ld(X1,X2)) = X1,
    inference(superposition,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

fof(f180,plain,
    ! [X8] : op_c = mult(X8,rd(op_c,X8)),
    inference(forward_demodulation,[],[f179,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).

fof(f179,plain,
    ! [X8] : op_c = mult(mult(unit,X8),rd(op_c,X8)),
    inference(forward_demodulation,[],[f176,f29]) ).

fof(f29,plain,
    ! [X3] : unit = rd(X3,X3),
    inference(superposition,[],[f4,f6]) ).

fof(f176,plain,
    ! [X8] : op_c = mult(mult(rd(op_c,op_c),X8),rd(op_c,X8)),
    inference(backward_demodulation,[],[f169,f174]) ).

fof(f174,plain,
    op_c = op_e,
    inference(forward_demodulation,[],[f173,f3]) ).

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

fof(f173,plain,
    ! [X0] : op_e = mult(rd(op_c,X0),X0),
    inference(forward_demodulation,[],[f139,f5]) ).

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

fof(f139,plain,
    ! [X0] : op_e = mult(mult(rd(op_c,X0),unit),X0),
    inference(superposition,[],[f12,f5]) ).

fof(f12,axiom,
    ! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f12) ).

fof(f169,plain,
    ! [X8] : op_e = mult(mult(rd(op_c,op_e),X8),rd(op_e,X8)),
    inference(forward_demodulation,[],[f144,f154]) ).

fof(f154,plain,
    ! [X2,X1] : mult(rd(op_c,mult(X1,X2)),X2) = rd(op_e,X1),
    inference(superposition,[],[f4,f12]) ).

fof(f144,plain,
    ! [X8,X9] : op_e = mult(mult(rd(op_c,op_e),X8),mult(rd(op_c,mult(X8,X9)),X9)),
    inference(superposition,[],[f12,f12]) ).

fof(f292,plain,
    ! [X6] : op_f = mult(ld(X6,op_c),X6),
    inference(forward_demodulation,[],[f291,f5]) ).

fof(f291,plain,
    ! [X6] : op_f = mult(ld(X6,op_c),mult(X6,unit)),
    inference(forward_demodulation,[],[f271,f18]) ).

fof(f18,plain,
    ! [X0] : unit = ld(X0,X0),
    inference(superposition,[],[f2,f5]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

fof(f271,plain,
    ! [X6] : op_f = mult(ld(X6,op_c),mult(X6,ld(op_c,op_c))),
    inference(superposition,[],[f13,f210]) ).

fof(f13,axiom,
    ! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f13) ).

fof(f14,axiom,
    mult(op_f,mult(x4,x5)) != mult(mult(op_f,x4),x5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP704-10 : TPTP v8.1.0. Released v8.1.0.
% 0.13/0.14  % 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 : n014.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
% 0.20/0.35  % CPULimit   : 300
% 0.20/0.35  % WCLimit    : 300
% 0.20/0.35  % DateTime   : Mon Aug 29 22:47:33 EDT 2022
% 0.20/0.35  % CPUTime    : 
% 0.20/0.50  % (31919)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.51  % (31904)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)
% 0.20/0.51  % (31911)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)
% 0.20/0.52  % (31912)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)
% 0.20/0.52  % (31909)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)
% 0.20/0.52  % (31902)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)
% 0.20/0.52  % (31914)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)
% 0.20/0.52  % (31919)First to succeed.
% 0.20/0.52  % (31907)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)
% 0.20/0.53  % (31908)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  % (31921)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)
% 0.20/0.53  % (31900)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  % (31920)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)
% 0.20/0.53  % (31917)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)
% 0.20/0.53  % (31901)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  % (31922)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  % (31927)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  % (31905)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  % (31910)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  % (31902)Instruction limit reached!
% 0.20/0.53  % (31902)------------------------------
% 0.20/0.53  % (31902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (31902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (31902)Termination reason: Unknown
% 0.20/0.53  % (31902)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (31902)Memory used [KB]: 5500
% 0.20/0.53  % (31902)Time elapsed: 0.124 s
% 0.20/0.53  % (31902)Instructions burned: 6 (million)
% 0.20/0.53  % (31902)------------------------------
% 0.20/0.53  % (31902)------------------------------
% 0.20/0.54  % (31906)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54  % (31905)Instruction limit reached!
% 0.20/0.54  % (31905)------------------------------
% 0.20/0.54  % (31905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (31900)Instruction limit reached!
% 0.20/0.54  % (31900)------------------------------
% 0.20/0.54  % (31900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (31900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (31900)Termination reason: Unknown
% 0.20/0.54  % (31900)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (31900)Memory used [KB]: 5628
% 0.20/0.54  % (31900)Time elapsed: 0.128 s
% 0.20/0.54  % (31900)Instructions burned: 10 (million)
% 0.20/0.54  % (31900)------------------------------
% 0.20/0.54  % (31900)------------------------------
% 0.20/0.54  % (31924)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  % (31926)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  % (31899)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.54  % (31918)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)
% 0.20/0.54  % (31904)Instruction limit reached!
% 0.20/0.54  % (31904)------------------------------
% 0.20/0.54  % (31904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (31903)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  % (31913)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  % (31925)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)
% 0.20/0.55  % (31916)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)
% 0.20/0.55  % (31929)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  % (31915)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  % (31928)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)
% 0.20/0.55  % (31919)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (31919)------------------------------
% 0.20/0.55  % (31919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (31919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (31919)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (31919)Memory used [KB]: 5628
% 0.20/0.55  % (31919)Time elapsed: 0.125 s
% 0.20/0.55  % (31919)Instructions burned: 12 (million)
% 0.20/0.55  % (31919)------------------------------
% 0.20/0.55  % (31919)------------------------------
% 0.20/0.55  % (31897)Success in time 0.186 s
%------------------------------------------------------------------------------