TSTP Solution File: GRP731-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP731-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Tue Apr 30 12:08:47 EDT 2024
% Result : Unsatisfiable 16.66s 2.78s
% Output : Refutation 16.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 60 ( 60 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 134 ( 134 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f109303,plain,
$false,
inference(trivial_inequality_removal,[],[f109231]) ).
fof(f109231,plain,
unit != unit,
inference(superposition,[],[f23,f107204]) ).
fof(f107204,plain,
! [X2,X3,X0,X1] : unit = op_k(asoc(X0,X1,X2),X3),
inference(superposition,[],[f85792,f21]) ).
fof(f21,axiom,
! [X2,X3,X0,X1,X4] : unit = asoc(asoc(X0,X1,X2),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21) ).
fof(f85792,plain,
! [X0,X1] : op_k(X0,X1) = asoc(X0,X1,i(mult(X0,X1))),
inference(forward_demodulation,[],[f85791,f47942]) ).
fof(f47942,plain,
! [X0,X1] : op_k(X0,X1) = mult(i(X0),op_t(X0,X1)),
inference(superposition,[],[f6,f47616]) ).
fof(f47616,plain,
! [X0,X1] : op_t(X1,X0) = mult(X1,op_k(X1,X0)),
inference(forward_demodulation,[],[f47316,f14]) ).
fof(f14,axiom,
! [X0,X1] : op_t(X0,X1) = mult(i(X1),mult(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c14) ).
fof(f47316,plain,
! [X0,X1] : mult(i(X0),mult(X1,X0)) = mult(X1,op_k(X1,X0)),
inference(superposition,[],[f6,f33325]) ).
fof(f33325,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,mult(X0,op_k(X0,X1))),
inference(superposition,[],[f8,f32289]) ).
fof(f32289,plain,
! [X0,X1] : rd(mult(X1,X0),mult(X1,op_k(X1,X0))) = X0,
inference(backward_demodulation,[],[f2068,f32288]) ).
fof(f32288,plain,
! [X0,X1] : op_r(X0,X1,op_k(X1,X0)) = X0,
inference(forward_demodulation,[],[f32070,f32]) ).
fof(f32,plain,
! [X0] : rd(unit,i(X0)) = X0,
inference(superposition,[],[f7,f3]) ).
fof(f3,axiom,
! [X0] : unit = mult(X0,i(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f7,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f32070,plain,
! [X0,X1] : rd(unit,i(X0)) = op_r(X0,X1,op_k(X1,X0)),
inference(superposition,[],[f32,f27102]) ).
fof(f27102,plain,
! [X0,X1] : i(X0) = i(op_r(X0,X1,op_k(X1,X0))),
inference(superposition,[],[f26905,f2134]) ).
fof(f2134,plain,
! [X2,X0,X1] : i(op_r(X0,X1,X2)) = op_r(i(X0),mult(X0,X1),X2),
inference(backward_demodulation,[],[f2059,f2096]) ).
fof(f2096,plain,
! [X2,X0,X1] : i(op_r(X0,X1,X2)) = rd(mult(X1,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f73,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] : op_r(X0,X1,X2) = rd(mult(mult(X0,X1),X2),mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).
fof(f73,plain,
! [X0,X1] : i(rd(X0,X1)) = rd(X1,X0),
inference(superposition,[],[f7,f60]) ).
fof(f60,plain,
! [X0,X1] : mult(i(rd(X0,X1)),X0) = X1,
inference(superposition,[],[f6,f8]) ).
fof(f2059,plain,
! [X2,X0,X1] : op_r(i(X0),mult(X0,X1),X2) = rd(mult(X1,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f13,f6]) ).
fof(f26905,plain,
! [X2,X0,X1] : op_r(X2,mult(X0,X1),op_k(X1,X0)) = X2,
inference(forward_demodulation,[],[f26904,f7]) ).
fof(f26904,plain,
! [X2,X0,X1] : op_r(X2,mult(X0,X1),op_k(X1,X0)) = rd(mult(X2,mult(X1,X0)),mult(X1,X0)),
inference(backward_demodulation,[],[f2083,f26902]) ).
fof(f26902,plain,
! [X2,X0,X1] : mult(X2,mult(X1,X0)) = mult(mult(X2,mult(X0,X1)),op_k(X1,X0)),
inference(forward_demodulation,[],[f26886,f2]) ).
fof(f2,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f26886,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),op_k(X1,X0)) = mult(mult(X2,mult(X1,X0)),unit),
inference(backward_demodulation,[],[f5040,f26835]) ).
fof(f26835,plain,
! [X2,X3,X0,X1] : unit = asoc(X1,X2,op_k(X0,X3)),
inference(superposition,[],[f26709,f42]) ).
fof(f42,plain,
! [X0] : i(i(X0)) = X0,
inference(superposition,[],[f33,f32]) ).
fof(f33,plain,
! [X0] : i(X0) = rd(unit,X0),
inference(superposition,[],[f7,f4]) ).
fof(f4,axiom,
! [X0] : unit = mult(i(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f26709,plain,
! [X2,X3,X0,X1] : unit = asoc(X2,X3,op_k(i(X0),X1)),
inference(superposition,[],[f23601,f54]) ).
fof(f54,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(superposition,[],[f6,f42]) ).
fof(f23601,plain,
! [X2,X3,X0,X1] : unit = asoc(X2,X3,op_k(i(X0),mult(X0,X1))),
inference(superposition,[],[f22,f5839]) ).
fof(f5839,plain,
! [X0,X1] : op_k(i(X0),mult(X0,X1)) = asoc(i(mult(X0,X1)),X0,X1),
inference(backward_demodulation,[],[f5121,f5838]) ).
fof(f5838,plain,
! [X0,X1] : op_k(i(X0),mult(X0,X1)) = mult(mult(i(mult(X0,X1)),X0),X1),
inference(forward_demodulation,[],[f5737,f203]) ).
fof(f203,plain,
! [X0,X1] : mult(i(X1),X0) = i(mult(X1,i(X0))),
inference(superposition,[],[f5,f42]) ).
fof(f5,axiom,
! [X0,X1] : i(mult(X0,X1)) = mult(i(X0),i(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f5737,plain,
! [X0,X1] : op_k(i(X0),mult(X0,X1)) = mult(i(mult(mult(X0,X1),i(X0))),X1),
inference(superposition,[],[f445,f6]) ).
fof(f445,plain,
! [X0,X1] : op_k(X1,X0) = mult(i(mult(X0,X1)),mult(X1,X0)),
inference(superposition,[],[f6,f11]) ).
fof(f11,axiom,
! [X0,X1] : mult(X0,X1) = mult(mult(X1,X0),op_k(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
fof(f5121,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = asoc(i(mult(X0,X1)),X0,X1),
inference(forward_demodulation,[],[f5068,f1]) ).
fof(f1,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f5068,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = mult(unit,asoc(i(mult(X0,X1)),X0,X1)),
inference(superposition,[],[f10,f4]) ).
fof(f10,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f22,axiom,
! [X2,X3,X0,X1,X4] : unit = asoc(X0,X1,asoc(X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22) ).
fof(f5040,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),op_k(X1,X0)) = mult(mult(X2,mult(X1,X0)),asoc(X2,mult(X0,X1),op_k(X1,X0))),
inference(superposition,[],[f10,f11]) ).
fof(f2083,plain,
! [X2,X0,X1] : op_r(X2,mult(X0,X1),op_k(X1,X0)) = rd(mult(mult(X2,mult(X0,X1)),op_k(X1,X0)),mult(X1,X0)),
inference(superposition,[],[f13,f11]) ).
fof(f2068,plain,
! [X0,X1] : op_r(X0,X1,op_k(X1,X0)) = rd(mult(X1,X0),mult(X1,op_k(X1,X0))),
inference(superposition,[],[f13,f11]) ).
fof(f8,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f6,axiom,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f85791,plain,
! [X0,X1] : mult(i(X0),op_t(X0,X1)) = asoc(X0,X1,i(mult(X0,X1))),
inference(forward_demodulation,[],[f85790,f2]) ).
fof(f85790,plain,
! [X0,X1] : mult(mult(i(X0),op_t(X0,X1)),unit) = asoc(X0,X1,i(mult(X0,X1))),
inference(forward_demodulation,[],[f85789,f14]) ).
fof(f85789,plain,
! [X0,X1] : asoc(X0,X1,i(mult(X0,X1))) = mult(mult(i(X0),mult(i(X1),mult(X0,X1))),unit),
inference(forward_demodulation,[],[f85301,f1208]) ).
fof(f1208,plain,
! [X2,X0,X1] : mult(i(X2),mult(i(X0),X1)) = i(mult(X2,mult(X0,i(X1)))),
inference(superposition,[],[f203,f200]) ).
fof(f200,plain,
! [X0,X1] : i(mult(i(X0),X1)) = mult(X0,i(X1)),
inference(superposition,[],[f5,f42]) ).
fof(f85301,plain,
! [X0,X1] : asoc(X0,X1,i(mult(X0,X1))) = mult(i(mult(X0,mult(X1,i(mult(X0,X1))))),unit),
inference(superposition,[],[f5083,f3]) ).
fof(f5083,plain,
! [X2,X0,X1] : asoc(X0,X1,X2) = mult(i(mult(X0,mult(X1,X2))),mult(mult(X0,X1),X2)),
inference(superposition,[],[f6,f10]) ).
fof(f23,axiom,
unit != op_k(asoc(a,b,c),d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP731-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n013.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 : Tue Apr 30 04:18:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (29123)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (29126)WARNING: value z3 for option sas not known
% 0.13/0.37 % (29127)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (29128)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (29129)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (29126)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (29125)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (29130)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (29124)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.20/0.41 TRYING [3]
% 1.20/0.52 TRYING [4]
% 1.20/0.53 TRYING [4]
% 5.03/1.07 TRYING [5]
% 7.15/1.40 TRYING [5]
% 7.74/1.47 TRYING [1]
% 7.74/1.47 TRYING [2]
% 7.74/1.48 TRYING [3]
% 7.74/1.51 TRYING [4]
% 9.18/1.67 TRYING [5]
% 13.90/2.33 TRYING [6]
% 16.66/2.76 % (29129)First to succeed.
% 16.66/2.78 % (29129)Refutation found. Thanks to Tanya!
% 16.66/2.78 % SZS status Unsatisfiable for theBenchmark
% 16.66/2.78 % SZS output start Proof for theBenchmark
% See solution above
% 16.66/2.78 % (29129)------------------------------
% 16.66/2.78 % (29129)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 16.66/2.78 % (29129)Termination reason: Refutation
% 16.66/2.78
% 16.66/2.78 % (29129)Memory used [KB]: 37414
% 16.66/2.78 % (29129)Time elapsed: 2.397 s
% 16.66/2.78 % (29129)Instructions burned: 6109 (million)
% 16.66/2.78 % (29129)------------------------------
% 16.66/2.78 % (29129)------------------------------
% 16.66/2.78 % (29123)Success in time 2.407 s
%------------------------------------------------------------------------------