TSTP Solution File: GRP199-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP199-1 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 21:15:45 EDT 2024
% Result : Unsatisfiable 261.89s 37.86s
% Output : Refutation 261.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 25 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 10 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f392515,plain,
$false,
inference(trivial_inequality_removal,[],[f392193]) ).
fof(f392193,plain,
multiply(d,multiply(b0,multiply(c0,multiply(b,multiply(d0,a0))))) != multiply(d,multiply(b0,multiply(c0,multiply(b,multiply(d0,a0))))),
inference(superposition,[],[f4341,f390842]) ).
fof(f390842,plain,
multiply(d0,multiply(a0,multiply(b,multiply(b0,c0)))) = multiply(b0,multiply(c0,multiply(b,multiply(d0,a0)))),
inference(unit_resulting_resolution,[],[f4350,f3]) ).
fof(f3,axiom,
! [X3,X4,X5] :
( multiply(X3,X4) != multiply(X3,X5)
| X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
fof(f4350,plain,
multiply(b,multiply(d0,multiply(a0,multiply(b,multiply(b0,c0))))) = multiply(b,multiply(b0,multiply(c0,multiply(b,multiply(d0,a0))))),
inference(forward_demodulation,[],[f4349,f76]) ).
fof(f76,plain,
! [X0] : multiply(a,multiply(c0,X0)) = multiply(b,multiply(d0,X0)),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiply) ).
fof(f64,plain,
! [X0] : multiply(a,multiply(c0,X0)) = multiply(multiply(b,d0),X0),
inference(superposition,[],[f1,f7]) ).
fof(f7,axiom,
multiply(b,d0) = multiply(a,c0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_quotient3) ).
fof(f4349,plain,
multiply(b,multiply(d0,multiply(a0,multiply(b,multiply(b0,c0))))) = multiply(b,multiply(b0,multiply(c0,multiply(a,multiply(c0,a0))))),
inference(forward_demodulation,[],[f4196,f74]) ).
fof(f74,plain,
! [X0] : multiply(a,multiply(a0,X0)) = multiply(b,multiply(b0,X0)),
inference(forward_demodulation,[],[f62,f1]) ).
fof(f62,plain,
! [X0] : multiply(a,multiply(a0,X0)) = multiply(multiply(b,b0),X0),
inference(superposition,[],[f1,f5]) ).
fof(f5,axiom,
multiply(b,b0) = multiply(a,a0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_quotient1) ).
fof(f4196,plain,
multiply(a,multiply(a0,multiply(c0,multiply(a,multiply(c0,a0))))) = multiply(b,multiply(d0,multiply(a0,multiply(b,multiply(b0,c0))))),
inference(superposition,[],[f76,f1238]) ).
fof(f1238,plain,
! [X0] : multiply(a0,multiply(X0,multiply(a,multiply(X0,a0)))) = multiply(X0,multiply(a0,multiply(b,multiply(b0,X0)))),
inference(superposition,[],[f4,f74]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X2,multiply(X1,X0)))) = multiply(X1,multiply(X0,multiply(X2,multiply(X0,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nilpotency) ).
fof(f4341,plain,
multiply(d,multiply(d0,multiply(a0,multiply(b,multiply(b0,c0))))) != multiply(d,multiply(b0,multiply(c0,multiply(b,multiply(d0,a0))))),
inference(forward_demodulation,[],[f4340,f76]) ).
fof(f4340,plain,
multiply(d,multiply(d0,multiply(a0,multiply(b,multiply(b0,c0))))) != multiply(d,multiply(b0,multiply(c0,multiply(a,multiply(c0,a0))))),
inference(forward_demodulation,[],[f4193,f75]) ).
fof(f75,plain,
! [X0] : multiply(c,multiply(a0,X0)) = multiply(d,multiply(b0,X0)),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f63,plain,
! [X0] : multiply(c,multiply(a0,X0)) = multiply(multiply(d,b0),X0),
inference(superposition,[],[f1,f6]) ).
fof(f6,axiom,
multiply(d,b0) = multiply(c,a0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_quotient2) ).
fof(f4193,plain,
multiply(d,multiply(d0,multiply(a0,multiply(b,multiply(b0,c0))))) != multiply(c,multiply(a0,multiply(c0,multiply(a,multiply(c0,a0))))),
inference(superposition,[],[f19,f1238]) ).
fof(f19,plain,
! [X0] : multiply(c,multiply(c0,X0)) != multiply(d,multiply(d0,X0)),
inference(forward_demodulation,[],[f18,f1]) ).
fof(f18,plain,
! [X0] : multiply(multiply(d,d0),X0) != multiply(c,multiply(c0,X0)),
inference(forward_demodulation,[],[f10,f1]) ).
fof(f10,plain,
! [X0] : multiply(multiply(d,d0),X0) != multiply(multiply(c,c0),X0),
inference(unit_resulting_resolution,[],[f8,f2]) ).
fof(f2,axiom,
! [X3,X4,X5] :
( multiply(X3,X4) != multiply(X5,X4)
| X3 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_cancellation) ).
fof(f8,axiom,
multiply(d,d0) != multiply(c,c0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_quotient4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP199-1 : TPTP v8.2.0. Released v2.2.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 19 04:25:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (1171)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (1172)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (1175)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (1174)WARNING: value z3 for option sas not known
% 0.13/0.36 % (1177)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)
% 0.13/0.36 % (1176)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)
% 0.13/0.36 % (1178)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)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 % (1174)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)
% 0.13/0.36 % (1173)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.19/0.41 TRYING [4]
% 0.19/0.45 TRYING [5]
% 3.03/0.87 TRYING [6]
% 6.91/1.34 TRYING [5]
% 7.81/1.46 TRYING [1]
% 7.81/1.46 TRYING [2]
% 7.81/1.47 TRYING [3]
% 7.92/1.47 TRYING [4]
% 8.42/1.60 TRYING [5]
% 11.43/2.02 TRYING [6]
% 25.01/3.97 TRYING [7]
% 41.54/6.30 TRYING [7]
% 84.07/12.38 TRYING [8]
% 160.14/23.28 TRYING [8]
% 230.60/33.40 TRYING [6]
% 261.20/37.85 % (1178)First to succeed.
% 261.20/37.85 % (1178)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1171"
% 261.89/37.86 % (1178)Refutation found. Thanks to Tanya!
% 261.89/37.86 % SZS status Unsatisfiable for theBenchmark
% 261.89/37.86 % SZS output start Proof for theBenchmark
% See solution above
% 261.89/37.86 % (1178)------------------------------
% 261.89/37.86 % (1178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 261.89/37.86 % (1178)Termination reason: Refutation
% 261.89/37.86
% 261.89/37.86 % (1178)Memory used [KB]: 169262
% 261.89/37.86 % (1178)Time elapsed: 37.496 s
% 261.89/37.86 % (1178)Instructions burned: 81197 (million)
% 261.89/37.86 % (1171)Success in time 37.304 s
%------------------------------------------------------------------------------