TSTP Solution File: GRP658-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP658-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 12:08:27 EDT 2024
% Result : Unsatisfiable 0.15s 0.36s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1808,plain,
$false,
inference(trivial_inequality_removal,[],[f1807]) ).
fof(f1807,plain,
! [X0] : tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
inference(forward_demodulation,[],[f1736,f1494]) ).
fof(f1494,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = X0,
inference(superposition,[],[f1,f1374]) ).
fof(f1374,plain,
! [X0,X1] : ld(X0,X0) = rd(X1,X1),
inference(superposition,[],[f4,f1254]) ).
fof(f1254,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(forward_demodulation,[],[f1253,f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f1253,plain,
! [X0,X1] : mult(ld(X0,mult(X0,ld(X0,X0))),X1) = X1,
inference(forward_demodulation,[],[f1252,f532]) ).
fof(f532,plain,
! [X0,X1] : ld(X0,X1) = mult(X0,ld(mult(X0,X0),X1)),
inference(superposition,[],[f2,f397]) ).
fof(f397,plain,
! [X0,X1] : mult(X0,mult(X0,ld(mult(X0,X0),X1))) = X1,
inference(forward_demodulation,[],[f345,f64]) ).
fof(f64,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X1,ld(mult(X0,mult(X1,X1)),X2))) = mult(X3,ld(mult(X0,X1),X2)),
inference(forward_demodulation,[],[f53,f25]) ).
fof(f25,plain,
! [X2,X0,X1] : mult(X2,ld(X0,X1)) = mult(mult(rd(X2,mult(X0,X0)),X0),X1),
inference(superposition,[],[f14,f1]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,X2)) = mult(X0,X2),
inference(superposition,[],[f5,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f53,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X1,ld(mult(X0,mult(X1,X1)),X2))) = mult(mult(rd(X3,mult(mult(X0,X1),mult(X0,X1))),mult(X0,X1)),X2),
inference(superposition,[],[f14,f16]) ).
fof(f16,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X1,ld(mult(X0,mult(X1,X1)),X2))) = X2,
inference(superposition,[],[f5,f1]) ).
fof(f345,plain,
! [X0,X1] : mult(X0,mult(X0,mult(X0,ld(mult(X0,mult(X0,X0)),X1)))) = X1,
inference(superposition,[],[f256,f16]) ).
fof(f256,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(X0,X1)),
inference(superposition,[],[f37,f1]) ).
fof(f37,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,ld(X1,X1)),mult(X1,X2)),
inference(forward_demodulation,[],[f31,f25]) ).
fof(f31,plain,
! [X2,X0,X1] : mult(mult(mult(rd(X0,mult(X1,X1)),X1),X1),mult(X1,X2)) = mult(mult(X0,X1),X2),
inference(superposition,[],[f5,f14]) ).
fof(f1252,plain,
! [X0,X1] : mult(mult(X0,ld(mult(X0,X0),mult(X0,ld(X0,X0)))),X1) = X1,
inference(forward_demodulation,[],[f1182,f191]) ).
fof(f191,plain,
! [X2,X3,X0,X1] : mult(X0,ld(X1,X3)) = mult(rd(mult(X0,X2),mult(X1,X2)),X3),
inference(superposition,[],[f25,f32]) ).
fof(f32,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = rd(mult(X0,X2),mult(X1,X2)),
inference(superposition,[],[f4,f14]) ).
fof(f1182,plain,
! [X0,X1] : mult(mult(rd(mult(X0,ld(X0,X0)),mult(mult(X0,X0),ld(X0,X0))),mult(X0,ld(X0,X0))),X1) = X1,
inference(superposition,[],[f1099,f37]) ).
fof(f1099,plain,
! [X0,X1] : mult(mult(rd(X0,mult(X0,X0)),X0),X1) = X1,
inference(superposition,[],[f44,f1]) ).
fof(f44,plain,
! [X2,X0,X1] : mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,ld(X0,X2))) = X2,
inference(superposition,[],[f16,f3]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f1736,plain,
! [X0] : tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),mult(x1_2(rd(X0,X0)),rd(X0,X0))),
inference(superposition,[],[f6,f1492]) ).
fof(f1492,plain,
! [X2,X1] : mult(rd(X1,X1),X2) = X2,
inference(superposition,[],[f1254,f1374]) ).
fof(f6,axiom,
! [X3] : tuple(mult(X3,x1(X3)),mult(x1_2(X3),X3)) != tuple(x1(X3),x1_2(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP658-10 : TPTP v8.1.2. Released v8.1.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n031.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 05:04:43 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (27488)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (27491)WARNING: value z3 for option sas not known
% 0.15/0.32 % (27491)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)
% 0.15/0.32 % (27495)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)
% 0.15/0.32 % (27489)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (27490)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (27494)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)
% 0.15/0.32 % (27493)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)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.33 % (27492)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [4]
% 0.15/0.34 TRYING [5]
% 0.15/0.35 TRYING [4]
% 0.15/0.36 % (27495)First to succeed.
% 0.15/0.36 % (27495)Refutation found. Thanks to Tanya!
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36 % (27495)------------------------------
% 0.15/0.36 % (27495)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.36 % (27495)Termination reason: Refutation
% 0.15/0.36
% 0.15/0.36 % (27495)Memory used [KB]: 1383
% 0.15/0.36 % (27495)Time elapsed: 0.044 s
% 0.15/0.36 % (27495)Instructions burned: 88 (million)
% 0.15/0.36 % (27495)------------------------------
% 0.15/0.36 % (27495)------------------------------
% 0.15/0.36 % (27488)Success in time 0.054 s
%------------------------------------------------------------------------------