TSTP Solution File: GRP110-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP110-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Sun May 5 05:53:25 EDT 2024
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 61 ( 57 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 15 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 152 ( 152 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6575,plain,
$false,
inference(subsumption_resolution,[],[f6574,f846]) ).
fof(f846,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f6,f424]) ).
fof(f424,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[],[f423,f232]) ).
fof(f232,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(superposition,[],[f202,f9]) ).
fof(f9,plain,
! [X2,X0,X1] : multiply(double_divide(multiply(X2,X0),double_divide(X0,X1)),X2) = X1,
inference(superposition,[],[f6,f6]) ).
fof(f202,plain,
! [X2,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,X0),X2),X2),
inference(superposition,[],[f179,f31]) ).
fof(f31,plain,
! [X2,X0,X1] : double_divide(X1,multiply(double_divide(multiply(X0,X1),X2),X0)) = X2,
inference(superposition,[],[f8,f9]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),multiply(X3,X2)),
inference(superposition,[],[f6,f6]) ).
fof(f179,plain,
! [X2,X0,X1] : double_divide(X0,X2) = multiply(X1,double_divide(X0,multiply(X1,X2))),
inference(superposition,[],[f156,f86]) ).
fof(f86,plain,
! [X2,X3,X1] : multiply(double_divide(X2,double_divide(X2,multiply(X3,X1))),inverse(X3)) = X1,
inference(forward_demodulation,[],[f82,f42]) ).
fof(f42,plain,
! [X2,X3,X0,X1] : multiply(double_divide(multiply(X2,multiply(X0,X1)),X3),X2) = double_divide(X1,multiply(X3,X0)),
inference(superposition,[],[f31,f31]) ).
fof(f82,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X2,multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0)),inverse(X3)) = X1,
inference(superposition,[],[f6,f48]) ).
fof(f48,plain,
! [X2,X0,X1] : multiply(multiply(double_divide(multiply(X1,X0),X2),X1),X0) = inverse(X2),
inference(superposition,[],[f2,f31]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f156,plain,
! [X2,X0,X1] : multiply(X0,X2) = double_divide(X1,multiply(double_divide(X1,X2),inverse(X0))),
inference(superposition,[],[f31,f126]) ).
fof(f126,plain,
! [X2,X0,X1] : double_divide(X1,X2) = double_divide(multiply(inverse(X0),X1),multiply(X0,X2)),
inference(superposition,[],[f31,f86]) ).
fof(f423,plain,
! [X2,X0,X1] : multiply(double_divide(X2,double_divide(X2,X0)),multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[],[f402,f2]) ).
fof(f402,plain,
! [X2,X0,X1] : multiply(double_divide(X2,double_divide(X2,X0)),inverse(double_divide(inverse(X0),X1))) = X1,
inference(superposition,[],[f86,f257]) ).
fof(f257,plain,
! [X3,X1] : multiply(double_divide(inverse(X1),X3),X3) = X1,
inference(forward_demodulation,[],[f221,f43]) ).
fof(f43,plain,
! [X2,X0,X1] : double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))) = X0,
inference(superposition,[],[f31,f8]) ).
fof(f221,plain,
! [X2,X3,X0,X1] : double_divide(multiply(X2,X0),double_divide(X0,multiply(X1,X2))) = multiply(double_divide(inverse(X1),X3),X3),
inference(superposition,[],[f202,f63]) ).
fof(f63,plain,
! [X2,X0,X1] : inverse(X2) = multiply(double_divide(X1,multiply(X2,X0)),multiply(X0,X1)),
inference(superposition,[],[f2,f43]) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(double_divide(X2,X0),multiply(X0,multiply(X1,X2))) = X1,
inference(superposition,[],[f5,f2]) ).
fof(f5,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(X2,multiply(X1,X0)),double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(X2,inverse(double_divide(X0,X1))),double_divide(X0,X2))) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f6574,plain,
! [X0] : a2 != multiply(double_divide(inverse(X0),X0),a2),
inference(forward_demodulation,[],[f6573,f827]) ).
fof(f827,plain,
! [X0,X1] : double_divide(inverse(X1),X0) = multiply(X1,inverse(X0)),
inference(forward_demodulation,[],[f795,f232]) ).
fof(f795,plain,
! [X2,X0,X1] : double_divide(inverse(X1),X0) = multiply(double_divide(X2,double_divide(X2,X1)),inverse(X0)),
inference(superposition,[],[f86,f410]) ).
fof(f410,plain,
! [X2,X0] : multiply(X2,double_divide(inverse(X0),X2)) = X0,
inference(forward_demodulation,[],[f382,f267]) ).
fof(f267,plain,
! [X2,X0,X1] : double_divide(X0,X2) = multiply(double_divide(multiply(X1,X0),X2),X1),
inference(superposition,[],[f232,f31]) ).
fof(f382,plain,
! [X2,X0,X1] : multiply(X2,multiply(double_divide(multiply(X1,inverse(X0)),X2),X1)) = X0,
inference(superposition,[],[f257,f31]) ).
fof(f6573,plain,
! [X0] : a2 != multiply(multiply(X0,inverse(X0)),a2),
inference(subsumption_resolution,[],[f6572,f287]) ).
fof(f287,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(multiply(X2,X0),X1),
inference(forward_demodulation,[],[f280,f2]) ).
fof(f280,plain,
! [X2,X0,X1] : multiply(multiply(X2,X0),X1) = inverse(double_divide(multiply(X0,X1),X2)),
inference(superposition,[],[f48,f232]) ).
fof(f6572,plain,
! [X0] :
( a2 != multiply(multiply(X0,inverse(X0)),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f6571,f4620]) ).
fof(f4620,plain,
! [X2,X3] : multiply(inverse(X2),X2) = multiply(inverse(X3),X3),
inference(forward_demodulation,[],[f4619,f1053]) ).
fof(f1053,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f1052,f299]) ).
fof(f299,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f289,f43]) ).
fof(f289,plain,
! [X2,X0,X1] : double_divide(multiply(X2,X0),double_divide(X0,multiply(X1,X2))) = inverse(inverse(X1)),
inference(superposition,[],[f233,f63]) ).
fof(f233,plain,
! [X0,X1] : double_divide(X1,X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f202,f63]) ).
fof(f1052,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[],[f1016,f381]) ).
fof(f381,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(superposition,[],[f257,f299]) ).
fof(f1016,plain,
! [X2,X0,X1] : multiply(double_divide(inverse(X0),X2),X2) = double_divide(X1,double_divide(X0,X1)),
inference(superposition,[],[f202,f381]) ).
fof(f4619,plain,
! [X2,X3,X0] : multiply(double_divide(X0,double_divide(inverse(X2),X0)),X2) = multiply(inverse(X3),X3),
inference(forward_demodulation,[],[f4515,f397]) ).
fof(f397,plain,
! [X2,X0,X1] : double_divide(inverse(X0),X1) = double_divide(multiply(X1,X2),double_divide(X2,X0)),
inference(superposition,[],[f43,f257]) ).
fof(f4515,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X0,double_divide(multiply(X0,X1),double_divide(X1,X2))),X2) = multiply(inverse(X3),X3),
inference(superposition,[],[f2887,f10]) ).
fof(f10,plain,
! [X2,X0,X1] : inverse(double_divide(X2,double_divide(multiply(X2,X0),double_divide(X0,X1)))) = X1,
inference(superposition,[],[f5,f6]) ).
fof(f2887,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = multiply(inverse(X0),X0),
inference(superposition,[],[f388,f333]) ).
fof(f333,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f156,f235]) ).
fof(f235,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X1,X0),X1),
inference(superposition,[],[f48,f202]) ).
fof(f388,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = double_divide(inverse(X0),X0),
inference(superposition,[],[f156,f257]) ).
fof(f6571,plain,
! [X0] :
( a2 != multiply(multiply(X0,inverse(X0)),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f6564,f585]) ).
fof(f585,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f584,f232]) ).
fof(f584,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(double_divide(X2,double_divide(X2,X1)),X0),
inference(forward_demodulation,[],[f535,f299]) ).
fof(f535,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(double_divide(X2,double_divide(X2,X1)),inverse(inverse(X0))),
inference(superposition,[],[f86,f369]) ).
fof(f369,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f368,f232]) ).
fof(f368,plain,
! [X2,X0,X1] : multiply(double_divide(X2,double_divide(X2,inverse(X1))),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f346,f2]) ).
fof(f346,plain,
! [X2,X0,X1] : multiply(double_divide(X2,double_divide(X2,inverse(X1))),inverse(double_divide(X0,X1))) = X0,
inference(superposition,[],[f86,f235]) ).
fof(f6564,plain,
! [X0] :
( a2 != multiply(multiply(X0,inverse(X0)),a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(superposition,[],[f3,f2887]) ).
fof(f3,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP110-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri May 3 20:49:23 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % (18382)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (18385)WARNING: value z3 for option sas not known
% 0.13/0.35 % (18388)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)
% 0.13/0.35 % (18387)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)
% 0.13/0.35 % (18385)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)
% 0.13/0.35 % (18384)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35 % (18386)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35 % (18389)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)
% 0.13/0.35 TRYING [1]
% 0.13/0.35 TRYING [2]
% 0.19/0.35 % (18383)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.36 TRYING [3]
% 0.19/0.36 TRYING [1]
% 0.19/0.36 TRYING [2]
% 0.19/0.36 TRYING [3]
% 0.19/0.36 TRYING [4]
% 0.19/0.47 TRYING [5]
% 0.19/0.51 % (18389)First to succeed.
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (18389)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18382"
% 0.19/0.52 % (18389)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (18389)------------------------------
% 0.19/0.52 % (18389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.52 % (18389)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (18389)Memory used [KB]: 3063
% 0.19/0.52 % (18389)Time elapsed: 0.164 s
% 0.19/0.52 % (18389)Instructions burned: 331 (million)
% 0.19/0.52 % (18382)Success in time 0.18 s
%------------------------------------------------------------------------------