TSTP Solution File: GRP096-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP096-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 21:15:00 EDT 2024
% Result : Unsatisfiable 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of formulae : 64 ( 52 unt; 0 def)
% Number of atoms : 92 ( 91 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 42 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 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 : 146 ( 146 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f839,plain,
$false,
inference(equality_resolution,[],[f831]) ).
fof(f831,plain,
! [X0] : divide(X0,X0) != divide(a1,a1),
inference(superposition,[],[f830,f373]) ).
fof(f373,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f367,f206]) ).
fof(f206,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f177,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f177,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(superposition,[],[f123,f82]) ).
fof(f82,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[],[f69,f2]) ).
fof(f69,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[],[f64,f2]) ).
fof(f64,plain,
! [X2,X3,X4] : divide(divide(multiply(X2,X4),X3),divide(X2,X3)) = X4,
inference(forward_demodulation,[],[f53,f39]) ).
fof(f39,plain,
! [X2,X3,X1,X4] : divide(multiply(X2,X4),X3) = multiply(divide(multiply(X2,X1),X3),divide(X4,X1)),
inference(forward_demodulation,[],[f32,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : multiply(X0,divide(X1,divide(X0,divide(X2,X3)))) = divide(multiply(X2,X1),X3),
inference(superposition,[],[f4,f4]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,divide(X1,divide(X0,divide(X2,X3)))),divide(X4,X1)) = divide(multiply(X2,X4),X3),
inference(superposition,[],[f4,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2) = X3,
inference(superposition,[],[f4,f4]) ).
fof(f53,plain,
! [X2,X3,X1,X4] : divide(multiply(divide(multiply(X2,X1),X3),divide(X4,X1)),divide(X2,X3)) = X4,
inference(superposition,[],[f6,f7]) ).
fof(f123,plain,
! [X2,X3,X0] : divide(multiply(multiply(X0,divide(X2,X0)),X3),X2) = X3,
inference(forward_demodulation,[],[f117,f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = divide(multiply(X0,X2),divide(X3,multiply(X3,X1))),
inference(superposition,[],[f93,f82]) ).
fof(f93,plain,
! [X2,X0,X1] : divide(X1,divide(X0,multiply(X0,divide(X2,X1)))) = X2,
inference(superposition,[],[f82,f6]) ).
fof(f117,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(X0,X3),divide(X1,multiply(X1,divide(X2,X0)))),X2) = X3,
inference(superposition,[],[f64,f93]) ).
fof(f367,plain,
! [X2,X1] : divide(X1,divide(X1,X2)) = X2,
inference(forward_demodulation,[],[f361,f355]) ).
fof(f355,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(superposition,[],[f206,f177]) ).
fof(f361,plain,
! [X2,X0,X1] : divide(multiply(divide(X0,X0),X1),divide(X1,X2)) = X2,
inference(superposition,[],[f116,f355]) ).
fof(f116,plain,
! [X2,X0,X1] : divide(multiply(X1,X2),multiply(X1,divide(X2,X0))) = X0,
inference(superposition,[],[f4,f93]) ).
fof(f830,plain,
divide(a1,a1) != divide(b1,b1),
inference(trivial_inequality_removal,[],[f826]) ).
fof(f826,plain,
( a2 != a2
| divide(a1,a1) != divide(b1,b1) ),
inference(superposition,[],[f804,f355]) ).
fof(f804,plain,
( a2 != multiply(divide(b2,b2),a2)
| divide(a1,a1) != divide(b1,b1) ),
inference(trivial_inequality_removal,[],[f803]) ).
fof(f803,plain,
( multiply(a4,b4) != multiply(a4,b4)
| a2 != multiply(divide(b2,b2),a2)
| divide(a1,a1) != divide(b1,b1) ),
inference(forward_demodulation,[],[f802,f584]) ).
fof(f584,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f377,f368]) ).
fof(f368,plain,
! [X2,X1] : divide(multiply(X1,X2),X2) = X1,
inference(forward_demodulation,[],[f363,f355]) ).
fof(f363,plain,
! [X2,X0,X1] : divide(multiply(X1,X2),multiply(divide(X0,X0),X2)) = X1,
inference(superposition,[],[f82,f355]) ).
fof(f377,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[],[f367,f93]) ).
fof(f802,plain,
( a2 != multiply(divide(b2,b2),a2)
| divide(a1,a1) != divide(b1,b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f801,f663]) ).
fof(f663,plain,
! [X0,X1] : divide(X0,X1) = multiply(X0,inverse(X1)),
inference(backward_demodulation,[],[f597,f652]) ).
fof(f652,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(superposition,[],[f450,f206]) ).
fof(f450,plain,
! [X2,X0] : divide(X0,X2) = inverse(divide(X2,X0)),
inference(backward_demodulation,[],[f385,f380]) ).
fof(f380,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(multiply(X2,X0),multiply(X2,X1)),
inference(superposition,[],[f116,f367]) ).
fof(f385,plain,
! [X2,X3,X0] : divide(multiply(X3,X0),multiply(X3,X2)) = inverse(divide(X2,X0)),
inference(backward_demodulation,[],[f143,f371]) ).
fof(f371,plain,
! [X0,X1] : inverse(X1) = divide(X0,multiply(X0,X1)),
inference(superposition,[],[f367,f2]) ).
fof(f143,plain,
! [X2,X3,X0,X1] : divide(X1,multiply(X1,divide(X2,X0))) = divide(multiply(X3,X0),multiply(X3,X2)),
inference(superposition,[],[f116,f93]) ).
fof(f597,plain,
! [X2,X0,X1] : divide(X0,X1) = multiply(X0,divide(divide(X2,X2),X1)),
inference(superposition,[],[f470,f405]) ).
fof(f405,plain,
! [X2,X3,X1] : multiply(divide(X2,X3),X1) = multiply(X2,divide(X1,X3)),
inference(backward_demodulation,[],[f278,f374]) ).
fof(f374,plain,
! [X2,X0,X1] : divide(multiply(X0,X1),X2) = multiply(X0,divide(X1,X2)),
inference(superposition,[],[f367,f116]) ).
fof(f278,plain,
! [X2,X3,X1] : divide(multiply(X2,X1),X3) = multiply(divide(X2,X3),X1),
inference(backward_demodulation,[],[f7,f253]) ).
fof(f253,plain,
! [X2,X0,X1] : multiply(X0,divide(X1,divide(X0,X2))) = multiply(X2,X1),
inference(backward_demodulation,[],[f107,f246]) ).
fof(f246,plain,
! [X2,X3,X1] : multiply(X1,X2) = divide(X1,divide(X3,multiply(X3,X2))),
inference(backward_demodulation,[],[f188,f235]) ).
fof(f235,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(multiply(X0,divide(X1,X0)),X2),
inference(backward_demodulation,[],[f185,f214]) ).
fof(f214,plain,
! [X2,X3,X0,X1] : multiply(X0,X1) = divide(multiply(multiply(X2,divide(X0,divide(X2,X3))),X1),X3),
inference(superposition,[],[f6,f177]) ).
fof(f185,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,divide(X1,X0)),X2) = divide(multiply(multiply(X3,divide(X1,divide(X3,X4))),X2),X4),
inference(superposition,[],[f6,f123]) ).
fof(f188,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,divide(X1,X0)),X2) = divide(X1,divide(X3,multiply(X3,X2))),
inference(superposition,[],[f93,f123]) ).
fof(f107,plain,
! [X2,X3,X0,X1] : multiply(X0,divide(X1,divide(X0,X2))) = divide(X2,divide(X3,multiply(X3,X1))),
inference(superposition,[],[f93,f4]) ).
fof(f470,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f368,f206]) ).
fof(f801,plain,
( a2 != multiply(multiply(b2,inverse(b2)),a2)
| divide(a1,a1) != divide(b1,b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f800,f584]) ).
fof(f800,plain,
( divide(a1,a1) != divide(b1,b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(trivial_inequality_removal,[],[f799]) ).
fof(f799,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f798,f584]) ).
fof(f798,plain,
( divide(a1,a1) != divide(b1,b1)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f797,f663]) ).
fof(f797,plain,
( divide(a1,a1) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f789,f584]) ).
fof(f789,plain,
( multiply(inverse(b1),b1) != divide(a1,a1)
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f546,f760]) ).
fof(f760,plain,
! [X0,X1] : divide(X1,X0) = multiply(inverse(X0),X1),
inference(superposition,[],[f368,f208]) ).
fof(f208,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f177,f2]) ).
fof(f546,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f3,f515]) ).
fof(f515,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[],[f498,f2]) ).
fof(f498,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,divide(X2,inverse(X1))),
inference(superposition,[],[f405,f2]) ).
fof(f3,axiom,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP096-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n017.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 : Sun May 19 05:14:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (24522)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (24525)WARNING: value z3 for option sas not known
% 0.14/0.39 % (24523)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (24524)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (24526)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (24525)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)
% 0.14/0.39 % (24527)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)
% 0.14/0.39 % (24528)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)
% 0.14/0.39 % (24529)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)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.14/0.41 TRYING [3]
% 0.14/0.41 TRYING [4]
% 0.22/0.46 TRYING [1]
% 0.22/0.46 TRYING [2]
% 0.22/0.46 TRYING [3]
% 0.22/0.47 TRYING [4]
% 0.22/0.48 % (24528)First to succeed.
% 0.22/0.48 % (24528)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24522"
% 0.22/0.48 % (24528)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (24528)------------------------------
% 0.22/0.48 % (24528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.48 % (24528)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (24528)Memory used [KB]: 1326
% 0.22/0.48 % (24528)Time elapsed: 0.087 s
% 0.22/0.48 % (24528)Instructions burned: 88 (million)
% 0.22/0.48 % (24522)Success in time 0.115 s
%------------------------------------------------------------------------------