TSTP Solution File: GRP093-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP093-1 : 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 : n008.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 05:53:22 EDT 2024
% Result : Unsatisfiable 1.94s 0.64s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 51 unt; 0 def)
% Number of atoms : 79 ( 78 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 30 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 92 ( 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8673,plain,
$false,
inference(trivial_inequality_removal,[],[f8672]) ).
fof(f8672,plain,
multiply(a4,b4) != multiply(a4,b4),
inference(superposition,[],[f8620,f254]) ).
fof(f254,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f246,f119]) ).
fof(f119,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f12,f113]) ).
fof(f113,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f107,f6]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f107,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(forward_demodulation,[],[f97,f3]) ).
fof(f97,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f60,f19]) ).
fof(f19,plain,
identity = multiply(identity,identity),
inference(superposition,[],[f11,f8]) ).
fof(f8,plain,
identity = inverse(identity),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f11,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f6,f4]) ).
fof(f60,plain,
! [X0,X1] : divide(multiply(identity,X0),divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f59,f12]) ).
fof(f59,plain,
! [X0,X1] : divide(inverse(inverse(X0)),divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f47,f3]) ).
fof(f47,plain,
! [X0,X1] : divide(inverse(divide(identity,X0)),divide(X0,X1)) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f12,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,X0),
inference(superposition,[],[f6,f3]) ).
fof(f246,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f132,f136]) ).
fof(f136,plain,
! [X0,X1] : inverse(X1) = divide(X0,multiply(X0,X1)),
inference(backward_demodulation,[],[f105,f113]) ).
fof(f105,plain,
! [X0,X1] : inverse(X1) = divide(multiply(identity,X0),multiply(X0,X1)),
inference(superposition,[],[f60,f6]) ).
fof(f132,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(backward_demodulation,[],[f85,f113]) ).
fof(f85,plain,
! [X0,X1] : multiply(inverse(divide(multiply(identity,X0),X1)),X0) = X1,
inference(forward_demodulation,[],[f75,f12]) ).
fof(f75,plain,
! [X0,X1] : multiply(inverse(divide(inverse(inverse(X0)),X1)),X0) = X1,
inference(superposition,[],[f56,f6]) ).
fof(f56,plain,
! [X0,X1] : divide(inverse(divide(inverse(X1),X0)),X1) = X0,
inference(forward_demodulation,[],[f42,f3]) ).
fof(f42,plain,
! [X0,X1] : divide(inverse(divide(divide(identity,X1),X0)),X1) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f8620,plain,
multiply(a4,b4) != multiply(b4,a4),
inference(trivial_inequality_removal,[],[f8619]) ).
fof(f8619,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f8510,f254]) ).
fof(f8510,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(superposition,[],[f142,f4186]) ).
fof(f4186,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[],[f4185,f1056]) ).
fof(f1056,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = divide(X2,divide(inverse(X0),X1)),
inference(superposition,[],[f122,f324]) ).
fof(f324,plain,
! [X0,X1] : multiply(X0,X1) = inverse(divide(inverse(X1),X0)),
inference(superposition,[],[f180,f136]) ).
fof(f180,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f170,f130]) ).
fof(f130,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f80,f113]) ).
fof(f80,plain,
! [X0] : divide(multiply(identity,X0),identity) = X0,
inference(forward_demodulation,[],[f79,f12]) ).
fof(f79,plain,
! [X0] : divide(inverse(inverse(X0)),identity) = X0,
inference(forward_demodulation,[],[f66,f3]) ).
fof(f66,plain,
! [X0] : divide(inverse(divide(identity,X0)),identity) = X0,
inference(superposition,[],[f56,f8]) ).
fof(f170,plain,
! [X0,X1] : inverse(divide(divide(divide(X0,X1),identity),X0)) = X1,
inference(superposition,[],[f130,f7]) ).
fof(f122,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = divide(X1,X0),
inference(backward_demodulation,[],[f23,f113]) ).
fof(f23,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = divide(X1,multiply(identity,X0)),
inference(superposition,[],[f6,f12]) ).
fof(f4185,plain,
! [X2,X0,X1] : multiply(multiply(X2,X1),X0) = divide(X2,divide(inverse(X1),X0)),
inference(forward_demodulation,[],[f4084,f6]) ).
fof(f4084,plain,
! [X2,X0,X1] : divide(X2,divide(inverse(X1),X0)) = divide(multiply(X2,X1),inverse(X0)),
inference(superposition,[],[f720,f69]) ).
fof(f69,plain,
! [X0,X1] : divide(inverse(X1),divide(inverse(X0),X1)) = X0,
inference(superposition,[],[f56,f56]) ).
fof(f720,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(multiply(X0,divide(X2,X1)),X2),
inference(backward_demodulation,[],[f349,f703]) ).
fof(f703,plain,
! [X2,X0,X1] : multiply(X2,divide(X0,X1)) = divide(X2,divide(X1,X0)),
inference(superposition,[],[f6,f323]) ).
fof(f323,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(superposition,[],[f180,f127]) ).
fof(f127,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[],[f60,f113]) ).
fof(f349,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(X0,divide(X1,X2)),X2),
inference(backward_demodulation,[],[f144,f323]) ).
fof(f144,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(inverse(divide(divide(X1,X2),X0)),X2),
inference(backward_demodulation,[],[f109,f122]) ).
fof(f109,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(inverse(multiply(divide(X1,X2),inverse(X0))),X2),
inference(forward_demodulation,[],[f106,f23]) ).
fof(f106,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(inverse(divide(divide(X1,X2),multiply(identity,X0))),X2),
inference(superposition,[],[f7,f60]) ).
fof(f142,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(trivial_inequality_removal,[],[f141]) ).
fof(f141,plain,
( a2 != a2
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f18,f113]) ).
fof(f18,plain,
( a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(trivial_inequality_removal,[],[f17]) ).
fof(f17,plain,
( identity != identity
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f16,f11]) ).
fof(f16,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f15,f11]) ).
fof(f15,plain,
( a2 != multiply(identity,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(backward_demodulation,[],[f5,f11]) ).
fof(f5,axiom,
( multiply(a4,b4) != multiply(b4,a4)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| 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
% 0.07/0.13 % Problem : GRP093-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n008.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 20:51:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (5404)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (5407)WARNING: value z3 for option sas not known
% 0.14/0.38 % (5408)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (5409)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)
% 0.14/0.38 % (5407)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 % (5406)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 % (5411)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)
% 0.14/0.39 % (5410)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 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.40 % (5405)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 TRYING [1]
% 0.14/0.41 TRYING [5]
% 0.14/0.41 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.45 TRYING [4]
% 0.21/0.46 TRYING [6]
% 1.94/0.63 % (5410)First to succeed.
% 1.94/0.63 % (5410)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5404"
% 1.94/0.64 % (5410)Refutation found. Thanks to Tanya!
% 1.94/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.94/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.64 % (5410)------------------------------
% 1.94/0.64 % (5410)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.94/0.64 % (5410)Termination reason: Refutation
% 1.94/0.64
% 1.94/0.64 % (5410)Memory used [KB]: 4445
% 1.94/0.64 % (5410)Time elapsed: 0.249 s
% 1.94/0.64 % (5410)Instructions burned: 504 (million)
% 1.94/0.64 % (5404)Success in time 0.262 s
%------------------------------------------------------------------------------