TSTP Solution File: GRP108-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP108-1 : 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 : n014.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 : Tue Apr 30 11:51:34 EDT 2024
% Result : Unsatisfiable 1.33s 0.53s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of formulae : 70 ( 65 unt; 0 def)
% Number of atoms : 80 ( 79 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 10 |; 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 : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 177 ( 177 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6718,plain,
$false,
inference(subsumption_resolution,[],[f6717,f2100]) ).
fof(f2100,plain,
! [X2,X0] : multiply(X2,inverse(X2)) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f2099,f1105]) ).
fof(f1105,plain,
! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X1,X0)),
inference(forward_demodulation,[],[f1104,f585]) ).
fof(f585,plain,
! [X2,X1] : double_divide(X1,double_divide(X1,X2)) = X2,
inference(forward_demodulation,[],[f562,f574]) ).
fof(f574,plain,
! [X0,X1] : multiply(X1,double_divide(inverse(X0),X0)) = X1,
inference(forward_demodulation,[],[f537,f504]) ).
fof(f504,plain,
! [X2,X1] : multiply(X1,inverse(X2)) = double_divide(inverse(X1),X2),
inference(forward_demodulation,[],[f467,f406]) ).
fof(f406,plain,
! [X2,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X2,X0),X1),X2),
inference(superposition,[],[f384,f12]) ).
fof(f12,plain,
! [X2,X3,X1] : multiply(double_divide(X1,X2),multiply(X2,multiply(X3,X1))) = X3,
inference(superposition,[],[f6,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : multiply(multiply(double_divide(X2,double_divide(X0,X1)),X3),X2) = multiply(X1,multiply(X3,X0)),
inference(superposition,[],[f6,f6]) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(double_divide(X0,X1),X2),X0)) = X2,
inference(superposition,[],[f5,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(multiply(double_divide(X0,X2),X1),X0),X2)) = X1,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(inverse(double_divide(X1,double_divide(X0,X2))),X0),X2)) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f384,plain,
! [X2,X3,X0] : multiply(double_divide(X2,X0),multiply(X3,multiply(X0,X2))) = X3,
inference(forward_demodulation,[],[f367,f343]) ).
fof(f343,plain,
! [X2,X0,X1,X4] : multiply(multiply(X0,X2),multiply(X4,multiply(inverse(X0),X1))) = multiply(X2,multiply(X4,X1)),
inference(forward_demodulation,[],[f322,f8]) ).
fof(f322,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X2),multiply(X4,multiply(inverse(X0),X1))) = multiply(multiply(double_divide(X3,double_divide(X1,X2)),X4),X3),
inference(superposition,[],[f8,f236]) ).
fof(f236,plain,
! [X2,X0,X1] : double_divide(X1,X2) = double_divide(multiply(inverse(X0),X1),multiply(X0,X2)),
inference(superposition,[],[f87,f179]) ).
fof(f179,plain,
! [X2,X3,X1] : multiply(double_divide(X2,double_divide(X2,multiply(X3,X1))),inverse(X3)) = X1,
inference(forward_demodulation,[],[f165,f111]) ).
fof(f111,plain,
! [X2,X3,X0,X1] : multiply(double_divide(multiply(X2,multiply(X0,X1)),X3),X2) = double_divide(X1,multiply(X3,X0)),
inference(superposition,[],[f87,f87]) ).
fof(f165,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X2,multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0)),inverse(X3)) = X1,
inference(superposition,[],[f12,f113]) ).
fof(f113,plain,
! [X2,X0,X1] : multiply(multiply(double_divide(multiply(X1,X0),X2),X1),X0) = inverse(X2),
inference(superposition,[],[f2,f87]) ).
fof(f87,plain,
! [X2,X0,X1] : double_divide(X1,multiply(double_divide(multiply(X0,X1),X2),X0)) = X2,
inference(superposition,[],[f17,f15]) ).
fof(f15,plain,
! [X2,X3,X0,X1] : multiply(double_divide(multiply(multiply(double_divide(X1,X0),X2),X1),X3),multiply(X3,X2)) = X0,
inference(superposition,[],[f12,f6]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),multiply(X3,X2)),
inference(superposition,[],[f12,f12]) ).
fof(f367,plain,
! [X2,X3,X0,X1] : multiply(double_divide(X2,X0),multiply(multiply(X1,X3),multiply(X0,multiply(inverse(X1),X2)))) = X3,
inference(superposition,[],[f6,f318]) ).
fof(f318,plain,
! [X2,X0,X1] : double_divide(multiply(X2,multiply(inverse(X0),X1)),double_divide(X1,X2)) = X0,
inference(superposition,[],[f112,f236]) ).
fof(f112,plain,
! [X2,X0,X1] : double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))) = X0,
inference(superposition,[],[f87,f17]) ).
fof(f467,plain,
! [X2,X0,X1] : multiply(X1,inverse(X2)) = multiply(double_divide(multiply(X0,inverse(X1)),X2),X0),
inference(superposition,[],[f438,f113]) ).
fof(f438,plain,
! [X2,X3] : multiply(X2,multiply(X3,inverse(X2))) = X3,
inference(forward_demodulation,[],[f387,f113]) ).
fof(f387,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X3,multiply(multiply(double_divide(multiply(X1,X0),X2),X1),X0))) = X3,
inference(superposition,[],[f384,f87]) ).
fof(f537,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f470,f384]) ).
fof(f470,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f438,f6]) ).
fof(f562,plain,
! [X2,X0,X1] : double_divide(X1,multiply(double_divide(X1,X2),double_divide(inverse(X0),X0))) = X2,
inference(superposition,[],[f87,f470]) ).
fof(f1104,plain,
! [X2,X0,X1] : inverse(X0) = multiply(double_divide(X2,double_divide(X2,X1)),double_divide(X1,X0)),
inference(forward_demodulation,[],[f1048,f699]) ).
fof(f699,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(superposition,[],[f633,f2]) ).
fof(f633,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f473,f140]) ).
fof(f140,plain,
! [X2,X0,X1] : inverse(X2) = multiply(double_divide(X1,multiply(X2,X0)),multiply(X0,X1)),
inference(superposition,[],[f2,f112]) ).
fof(f473,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(superposition,[],[f384,f438]) ).
fof(f1048,plain,
! [X2,X0,X1] : inverse(X0) = multiply(double_divide(X2,double_divide(X2,X1)),inverse(multiply(X0,X1))),
inference(superposition,[],[f179,f599]) ).
fof(f599,plain,
! [X2,X1] : multiply(multiply(X1,X2),inverse(X1)) = X2,
inference(superposition,[],[f179,f585]) ).
fof(f2099,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(X2,multiply(X1,double_divide(X1,X2))),
inference(forward_demodulation,[],[f2046,f1278]) ).
fof(f1278,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f19,f1167]) ).
fof(f1167,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f585,f1119]) ).
fof(f1119,plain,
! [X0,X1] : double_divide(X1,X0) = double_divide(X0,X1),
inference(superposition,[],[f684,f616]) ).
fof(f616,plain,
! [X2,X1] : inverse(multiply(double_divide(X2,X1),X1)) = X2,
inference(forward_demodulation,[],[f602,f411]) ).
fof(f411,plain,
! [X2,X3,X0,X1] : double_divide(multiply(multiply(X0,X1),X2),double_divide(X2,X3)) = multiply(double_divide(X1,X0),X3),
inference(superposition,[],[f384,f19]) ).
fof(f602,plain,
! [X2,X0,X1] : inverse(double_divide(multiply(multiply(X1,X2),X0),double_divide(X0,X1))) = X2,
inference(superposition,[],[f5,f585]) ).
fof(f684,plain,
! [X2,X1] : double_divide(X1,inverse(multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f683,f587]) ).
fof(f587,plain,
! [X2,X1] : inverse(X2) = multiply(double_divide(X1,X2),X1),
inference(forward_demodulation,[],[f565,f574]) ).
fof(f565,plain,
! [X2,X0,X1] : inverse(X2) = multiply(multiply(double_divide(X1,X2),double_divide(inverse(X0),X0)),X1),
inference(superposition,[],[f113,f470]) ).
fof(f683,plain,
! [X2,X0,X1] : double_divide(X1,multiply(double_divide(X0,multiply(X2,X1)),X0)) = X2,
inference(forward_demodulation,[],[f682,f639]) ).
fof(f639,plain,
! [X2,X0,X1] : double_divide(inverse(X0),multiply(X1,X2)) = multiply(double_divide(X2,X1),X0),
inference(superposition,[],[f384,f473]) ).
fof(f682,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(inverse(X0),multiply(multiply(X2,X1),X0))) = X2,
inference(forward_demodulation,[],[f681,f596]) ).
fof(f596,plain,
! [X2,X0,X1] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(superposition,[],[f585,f112]) ).
fof(f681,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(multiply(X0,inverse(X0)),multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f680,f596]) ).
fof(f680,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(multiply(X1,multiply(X0,inverse(X0))),X2)) = X2,
inference(forward_demodulation,[],[f651,f410]) ).
fof(f410,plain,
! [X2,X3,X0,X1] : double_divide(multiply(X0,multiply(X1,X2)),X3) = multiply(double_divide(X1,X3),double_divide(X2,X0)),
inference(superposition,[],[f384,f17]) ).
fof(f651,plain,
! [X2,X0,X1] : double_divide(X1,multiply(double_divide(X0,X2),double_divide(inverse(X0),X1))) = X2,
inference(superposition,[],[f87,f473]) ).
fof(f19,plain,
! [X2,X0,X1] : multiply(double_divide(multiply(X2,X0),double_divide(X0,X1)),X2) = X1,
inference(superposition,[],[f12,f12]) ).
fof(f2046,plain,
! [X2,X0,X1] : multiply(X2,multiply(double_divide(X1,X2),X1)) = multiply(inverse(X0),X0),
inference(superposition,[],[f8,f709]) ).
fof(f709,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(superposition,[],[f473,f633]) ).
fof(f6717,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(forward_demodulation,[],[f6716,f1278]) ).
fof(f6716,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(subsumption_resolution,[],[f6715,f470]) ).
fof(f6715,plain,
( a2 != multiply(double_divide(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(forward_demodulation,[],[f6714,f504]) ).
fof(f6714,plain,
( a2 != multiply(multiply(b2,inverse(b2)),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(subsumption_resolution,[],[f6713,f600]) ).
fof(f600,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X1,X2),X0),
inference(superposition,[],[f8,f585]) ).
fof(f6713,plain,
( a2 != multiply(multiply(b2,inverse(b2)),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f6709,f1278]) ).
fof(f6709,plain,
( a2 != multiply(multiply(b2,inverse(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)) ),
inference(superposition,[],[f3,f1278]) ).
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/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP108-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:15:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (23380)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (23386)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)
% 0.14/0.37 % (23383)WARNING: value z3 for option sas not known
% 0.14/0.37 % (23381)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (23382)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (23384)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (23383)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)
% 0.14/0.37 % (23385)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)
% 0.14/0.37 % (23387)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 1.33/0.53 % (23387)First to succeed.
% 1.33/0.53 % (23387)Refutation found. Thanks to Tanya!
% 1.33/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.33/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.53 % (23387)------------------------------
% 1.33/0.53 % (23387)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.33/0.53 % (23387)Termination reason: Refutation
% 1.33/0.53
% 1.33/0.53 % (23387)Memory used [KB]: 4029
% 1.33/0.53 % (23387)Time elapsed: 0.163 s
% 1.33/0.53 % (23387)Instructions burned: 370 (million)
% 1.33/0.53 % (23387)------------------------------
% 1.33/0.53 % (23387)------------------------------
% 1.33/0.53 % (23380)Success in time 0.171 s
%------------------------------------------------------------------------------