TSTP Solution File: GRP453-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP453-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 06:08:59 EDT 2024
% Result : Unsatisfiable 1.54s 0.58s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 4
% Syntax : Number of formulae : 79 ( 79 unt; 0 def)
% Number of atoms : 79 ( 78 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 197 ( 197 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7961,plain,
$false,
inference(trivial_inequality_removal,[],[f7937]) ).
fof(f7937,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f4,f4262]) ).
fof(f4262,plain,
! [X2,X0,X1] : multiply(multiply(X2,X1),X0) = multiply(X2,multiply(X1,X0)),
inference(backward_demodulation,[],[f3702,f4227]) ).
fof(f4227,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = divide(X2,divide(inverse(X1),X0)),
inference(superposition,[],[f5,f2061]) ).
fof(f2061,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = divide(inverse(X1),X0),
inference(superposition,[],[f70,f1903]) ).
fof(f1903,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),X0)) = X1,
inference(superposition,[],[f1843,f70]) ).
fof(f1843,plain,
! [X0,X1] : inverse(multiply(X0,divide(inverse(X0),X1))) = X1,
inference(forward_demodulation,[],[f1747,f1733]) ).
fof(f1733,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X2,divide(X0,divide(inverse(X2),X3))),divide(X1,X1))),X3) = X0,
inference(superposition,[],[f54,f114]) ).
fof(f114,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(backward_demodulation,[],[f92,f107]) ).
fof(f107,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(superposition,[],[f104,f9]) ).
fof(f9,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
inference(superposition,[],[f5,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f104,plain,
! [X0,X1] : multiply(divide(inverse(inverse(X0)),X1),X1) = X0,
inference(backward_demodulation,[],[f95,f103]) ).
fof(f103,plain,
! [X0,X1] : inverse(inverse(multiply(X0,inverse(X1)))) = divide(inverse(inverse(X0)),X1),
inference(superposition,[],[f70,f95]) ).
fof(f95,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(X0,inverse(X1)))),X1) = X0,
inference(superposition,[],[f70,f5]) ).
fof(f92,plain,
! [X0,X1] : divide(X0,X0) = divide(inverse(inverse(inverse(inverse(X1)))),X1),
inference(superposition,[],[f70,f9]) ).
fof(f54,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X1))),X2) = X3,
inference(superposition,[],[f7,f7]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f1747,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X0,divide(inverse(X0),X1))) = divide(inverse(divide(divide(X3,divide(X1,divide(inverse(X3),X4))),divide(X2,X2))),X4),
inference(superposition,[],[f54,f75]) ).
fof(f75,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(inverse(multiply(X1,divide(inverse(X1),X2))),X2),
inference(forward_demodulation,[],[f56,f5]) ).
fof(f56,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(inverse(divide(X1,inverse(divide(inverse(X1),X2)))),X2),
inference(superposition,[],[f7,f3]) ).
fof(f70,plain,
! [X2,X1] : divide(inverse(inverse(multiply(X2,X1))),X1) = X2,
inference(forward_demodulation,[],[f69,f5]) ).
fof(f69,plain,
! [X2,X1] : divide(inverse(inverse(divide(X2,inverse(X1)))),X1) = X2,
inference(forward_demodulation,[],[f51,f3]) ).
fof(f51,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(X0,X0),divide(X2,inverse(X1)))),X1) = X2,
inference(superposition,[],[f7,f8]) ).
fof(f8,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3702,plain,
! [X2,X0,X1] : divide(X2,divide(inverse(X0),X1)) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[],[f3648,f5]) ).
fof(f3648,plain,
! [X2,X0,X1] : multiply(divide(X2,inverse(X1)),X0) = divide(X2,divide(inverse(X0),X1)),
inference(superposition,[],[f3067,f2253]) ).
fof(f2253,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(X0)),
inference(backward_demodulation,[],[f164,f2244]) ).
fof(f2244,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f1535,f2219]) ).
fof(f2219,plain,
! [X3,X1] : divide(multiply(X3,inverse(inverse(X1))),X1) = X3,
inference(backward_demodulation,[],[f2208,f2218]) ).
fof(f2218,plain,
! [X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f2217,f2182]) ).
fof(f2182,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(X1,inverse(X0))),
inference(backward_demodulation,[],[f2173,f2181]) ).
fof(f2181,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(inverse(inverse(X0)),X1),
inference(backward_demodulation,[],[f2105,f2173]) ).
fof(f2105,plain,
! [X0,X1] : divide(inverse(inverse(X0)),X1) = inverse(divide(inverse(inverse(X1)),X0)),
inference(backward_demodulation,[],[f103,f2061]) ).
fof(f2173,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(divide(inverse(inverse(X1)),X0)),
inference(backward_demodulation,[],[f987,f2105]) ).
fof(f987,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(inverse(divide(inverse(inverse(X0)),X1))),
inference(superposition,[],[f163,f952]) ).
fof(f952,plain,
! [X2,X1] : divide(divide(inverse(inverse(X2)),X1),inverse(X1)) = X2,
inference(backward_demodulation,[],[f55,f893]) ).
fof(f893,plain,
! [X2,X0,X1] : inverse(divide(X0,divide(X1,multiply(inverse(X0),X2)))) = divide(inverse(inverse(X1)),X2),
inference(superposition,[],[f70,f90]) ).
fof(f90,plain,
! [X2,X0,X1] : multiply(inverse(divide(X0,divide(X1,multiply(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f67,f5]) ).
fof(f67,plain,
! [X2,X0,X1] : multiply(inverse(divide(X0,divide(X1,divide(inverse(X0),inverse(X2))))),X2) = X1,
inference(superposition,[],[f7,f5]) ).
fof(f55,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X2,multiply(inverse(X0),X1)))),inverse(X1)) = X2,
inference(superposition,[],[f7,f5]) ).
fof(f163,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(divide(X0,X1),X1),
inference(superposition,[],[f104,f107]) ).
fof(f2217,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = inverse(multiply(inverse(X1),inverse(X0))),
inference(forward_demodulation,[],[f2106,f2181]) ).
fof(f2106,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = inverse(divide(inverse(inverse(inverse(X1))),X0)),
inference(backward_demodulation,[],[f101,f2061]) ).
fof(f101,plain,
! [X0,X1] : inverse(inverse(multiply(X0,inverse(inverse(X1))))) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f95,f95]) ).
fof(f2208,plain,
! [X3,X1] : divide(multiply(inverse(inverse(X3)),X1),X1) = X3,
inference(forward_demodulation,[],[f2207,f1996]) ).
fof(f1996,plain,
! [X0,X1] : inverse(X0) = inverse(divide(X0,divide(X1,X1))),
inference(forward_demodulation,[],[f1912,f164]) ).
fof(f1912,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(X0,inverse(inverse(inverse(divide(X1,X1)))))),
inference(superposition,[],[f1843,f125]) ).
fof(f125,plain,
! [X0,X1] : divide(X1,X1) = inverse(inverse(inverse(divide(X0,X0)))),
inference(superposition,[],[f114,f12]) ).
fof(f12,plain,
! [X0,X1] : inverse(X1) = divide(inverse(inverse(divide(X0,X0))),X1),
inference(superposition,[],[f8,f3]) ).
fof(f2207,plain,
! [X2,X3,X1] : divide(multiply(inverse(inverse(divide(X3,divide(X2,X2)))),X1),X1) = X3,
inference(forward_demodulation,[],[f2175,f5]) ).
fof(f2175,plain,
! [X2,X3,X1] : divide(divide(inverse(inverse(divide(X3,divide(X2,X2)))),inverse(X1)),X1) = X3,
inference(backward_demodulation,[],[f2010,f2105]) ).
fof(f2010,plain,
! [X2,X3,X1] : divide(inverse(divide(inverse(inverse(inverse(X1))),divide(X3,divide(X2,X2)))),X1) = X3,
inference(backward_demodulation,[],[f337,f2009]) ).
fof(f2009,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),X1)) = inverse(inverse(inverse(X1))),
inference(forward_demodulation,[],[f1922,f163]) ).
fof(f1922,plain,
! [X2,X0,X1] : multiply(X0,divide(inverse(X0),X1)) = multiply(divide(inverse(X1),X2),X2),
inference(superposition,[],[f104,f1843]) ).
fof(f337,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(multiply(X0,divide(inverse(X0),X1)),divide(X3,divide(X2,X2)))),X1) = X3,
inference(superposition,[],[f7,f75]) ).
fof(f1535,plain,
! [X0,X1] : inverse(inverse(X0)) = divide(multiply(X0,inverse(inverse(X1))),X1),
inference(forward_demodulation,[],[f1505,f5]) ).
fof(f1505,plain,
! [X0,X1] : inverse(inverse(X0)) = divide(divide(X0,inverse(inverse(inverse(X1)))),X1),
inference(superposition,[],[f164,f163]) ).
fof(f164,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(inverse(inverse(X0)))),
inference(superposition,[],[f5,f107]) ).
fof(f3067,plain,
! [X3,X0,X1] : divide(X3,multiply(inverse(X1),X0)) = multiply(divide(X3,X0),X1),
inference(forward_demodulation,[],[f2852,f2374]) ).
fof(f2374,plain,
! [X2,X3,X0,X1] : inverse(divide(X0,divide(X1,divide(inverse(X0),multiply(inverse(X2),X3))))) = multiply(divide(X1,X2),X3),
inference(backward_demodulation,[],[f887,f2338]) ).
fof(f2338,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(forward_demodulation,[],[f2325,f2253]) ).
fof(f2325,plain,
! [X0,X1] : divide(X0,X1) = inverse(multiply(X1,inverse(X0))),
inference(backward_demodulation,[],[f2182,f2253]) ).
fof(f887,plain,
! [X2,X3,X0,X1] : inverse(divide(X0,divide(X1,divide(inverse(X0),multiply(inverse(X2),X3))))) = multiply(inverse(divide(X2,X1)),X3),
inference(superposition,[],[f90,f7]) ).
fof(f2852,plain,
! [X2,X3,X0,X1] : divide(X3,multiply(inverse(X1),X0)) = inverse(divide(X2,divide(X3,divide(inverse(X2),multiply(inverse(X0),X1))))),
inference(superposition,[],[f2425,f5]) ).
fof(f2425,plain,
! [X2,X3,X0,X1] : inverse(divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),X3))))) = divide(X1,multiply(X3,X2)),
inference(backward_demodulation,[],[f2373,f2423]) ).
fof(f2423,plain,
! [X2,X0,X1] : divide(divide(X0,X1),X2) = divide(X0,multiply(X2,X1)),
inference(forward_demodulation,[],[f2422,f2338]) ).
fof(f2422,plain,
! [X2,X0,X1] : divide(divide(X0,X1),X2) = inverse(divide(multiply(X2,X1),X0)),
inference(forward_demodulation,[],[f2421,f5]) ).
fof(f2421,plain,
! [X2,X0,X1] : divide(divide(X0,X1),X2) = inverse(divide(divide(X2,inverse(X1)),X0)),
inference(forward_demodulation,[],[f2376,f2338]) ).
fof(f2376,plain,
! [X2,X0,X1] : inverse(divide(inverse(divide(inverse(X1),X2)),X0)) = divide(divide(X0,X1),X2),
inference(backward_demodulation,[],[f2103,f2338]) ).
fof(f2103,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,X0)),X2) = inverse(divide(inverse(divide(inverse(X1),X2)),X0)),
inference(backward_demodulation,[],[f98,f2061]) ).
fof(f98,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,divide(inverse(X1),X2)))) = divide(inverse(divide(X1,X0)),X2),
inference(superposition,[],[f7,f70]) ).
fof(f2373,plain,
! [X2,X3,X0,X1] : inverse(divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),X3))))) = divide(divide(X1,X2),X3),
inference(backward_demodulation,[],[f61,f2338]) ).
fof(f61,plain,
! [X2,X3,X0,X1] : inverse(divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),X3))))) = divide(inverse(divide(X2,X1)),X3),
inference(superposition,[],[f7,f7]) ).
fof(f4,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP453-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:37:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.36 % (26342)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (26345)WARNING: value z3 for option sas not known
% 0.21/0.39 % (26349)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)
% 0.21/0.39 % (26348)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)
% 0.21/0.39 % (26344)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (26343)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (26346)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (26345)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)
% 0.21/0.39 % (26347)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)
% 0.21/0.39 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [2]
% 0.21/0.41 TRYING [4]
% 0.21/0.41 TRYING [3]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [5]
% 0.21/0.50 TRYING [6]
% 1.54/0.58 % (26348)First to succeed.
% 1.54/0.58 % (26348)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26342"
% 1.54/0.58 % (26348)Refutation found. Thanks to Tanya!
% 1.54/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.54/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.58 % (26348)------------------------------
% 1.54/0.58 % (26348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.54/0.58 % (26348)Termination reason: Refutation
% 1.54/0.58
% 1.54/0.58 % (26348)Memory used [KB]: 2673
% 1.54/0.58 % (26348)Time elapsed: 0.190 s
% 1.54/0.58 % (26348)Instructions burned: 341 (million)
% 1.54/0.58 % (26342)Success in time 0.213 s
%------------------------------------------------------------------------------