TSTP Solution File: GRP576-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP576-1 : 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 : n032.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 12:07:36 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 5
% Syntax : Number of formulae : 75 ( 75 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3772,plain,
$false,
inference(trivial_inequality_removal,[],[f3771]) ).
fof(f3771,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f5,f3592]) ).
fof(f3592,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f2925,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f2925,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2416,f2362]) ).
fof(f2362,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X1) = X0,
inference(superposition,[],[f2352,f2352]) ).
fof(f2352,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f2317,f1626]) ).
fof(f1626,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1602,f3]) ).
fof(f1602,plain,
! [X0] : inverse(double_divide(X0,identity)) = X0,
inference(superposition,[],[f1232,f1583]) ).
fof(f1583,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(forward_demodulation,[],[f1582,f151]) ).
fof(f151,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f140,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f140,plain,
inverse(identity) = double_divide(identity,inverse(identity)),
inference(superposition,[],[f98,f130]) ).
fof(f130,plain,
identity = inverse(inverse(inverse(inverse(identity)))),
inference(forward_demodulation,[],[f118,f4]) ).
fof(f118,plain,
double_divide(identity,inverse(identity)) = inverse(inverse(inverse(inverse(identity)))),
inference(superposition,[],[f103,f4]) ).
fof(f103,plain,
! [X0] : inverse(inverse(X0)) = double_divide(double_divide(inverse(identity),X0),inverse(identity)),
inference(superposition,[],[f82,f98]) ).
fof(f82,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f72,f3]) ).
fof(f72,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,identity),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f98,plain,
! [X0] : double_divide(inverse(inverse(inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[],[f91,f3]) ).
fof(f91,plain,
! [X0] : double_divide(double_divide(inverse(inverse(X0)),identity),inverse(identity)) = X0,
inference(superposition,[],[f82,f4]) ).
fof(f1582,plain,
! [X0] : inverse(identity) = double_divide(inverse(X0),X0),
inference(forward_demodulation,[],[f1581,f150]) ).
fof(f150,plain,
inverse(identity) = inverse(inverse(identity)),
inference(forward_demodulation,[],[f139,f14]) ).
fof(f14,plain,
! [X0] : inverse(identity) = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X0] : double_divide(identity,identity) = multiply(inverse(X0),X0),
inference(superposition,[],[f2,f4]) ).
fof(f139,plain,
inverse(inverse(identity)) = multiply(inverse(identity),identity),
inference(superposition,[],[f108,f130]) ).
fof(f108,plain,
! [X0] : inverse(X0) = multiply(inverse(identity),inverse(inverse(inverse(X0)))),
inference(superposition,[],[f11,f98]) ).
fof(f1581,plain,
! [X0] : inverse(inverse(identity)) = double_divide(inverse(X0),X0),
inference(forward_demodulation,[],[f1568,f150]) ).
fof(f1568,plain,
! [X0] : inverse(inverse(inverse(identity))) = double_divide(inverse(X0),X0),
inference(superposition,[],[f266,f1555]) ).
fof(f1555,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f1554,f151]) ).
fof(f1554,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f1553,f150]) ).
fof(f1553,plain,
! [X0] : inverse(inverse(identity)) = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f1552,f150]) ).
fof(f1552,plain,
! [X0] : inverse(inverse(inverse(identity))) = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f1551,f13]) ).
fof(f13,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f1551,plain,
! [X0] : inverse(multiply(identity,identity)) = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f1521,f3]) ).
fof(f1521,plain,
! [X0] : double_divide(multiply(identity,identity),identity) = multiply(X0,inverse(X0)),
inference(superposition,[],[f1265,f1425]) ).
fof(f1425,plain,
! [X0] : identity = double_divide(multiply(X0,inverse(X0)),identity),
inference(superposition,[],[f1265,f649]) ).
fof(f649,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(forward_demodulation,[],[f632,f82]) ).
fof(f632,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(inverse(X1),double_divide(inverse(inverse(X0)),inverse(X1))),inverse(identity)),
inference(superposition,[],[f82,f572]) ).
fof(f572,plain,
! [X0] : inverse(inverse(X0)) = inverse(double_divide(identity,X0)),
inference(superposition,[],[f497,f264]) ).
fof(f264,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[],[f251,f13]) ).
fof(f251,plain,
! [X0] : inverse(multiply(identity,inverse(X0))) = X0,
inference(superposition,[],[f131,f151]) ).
fof(f131,plain,
! [X0] : inverse(multiply(inverse(identity),inverse(X0))) = X0,
inference(forward_demodulation,[],[f119,f11]) ).
fof(f119,plain,
! [X0] : inverse(inverse(double_divide(inverse(X0),inverse(identity)))) = X0,
inference(superposition,[],[f103,f82]) ).
fof(f497,plain,
! [X0] : inverse(double_divide(identity,inverse(inverse(X0)))) = X0,
inference(superposition,[],[f166,f3]) ).
fof(f166,plain,
! [X0] : double_divide(double_divide(identity,inverse(inverse(X0))),identity) = X0,
inference(forward_demodulation,[],[f165,f3]) ).
fof(f165,plain,
! [X0] : double_divide(double_divide(identity,double_divide(inverse(X0),identity)),identity) = X0,
inference(forward_demodulation,[],[f146,f151]) ).
fof(f146,plain,
! [X0] : double_divide(double_divide(identity,double_divide(inverse(X0),identity)),inverse(identity)) = X0,
inference(superposition,[],[f82,f130]) ).
fof(f1265,plain,
! [X2,X1] : double_divide(multiply(X1,double_divide(X2,X1)),identity) = X2,
inference(forward_demodulation,[],[f1264,f1230]) ).
fof(f1230,plain,
! [X0,X1] : multiply(double_divide(inverse(X1),X0),X0) = X1,
inference(superposition,[],[f281,f2]) ).
fof(f281,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),X0)),identity) = X1,
inference(forward_demodulation,[],[f260,f151]) ).
fof(f260,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),X0)),inverse(identity)) = X1,
inference(superposition,[],[f82,f131]) ).
fof(f1264,plain,
! [X2,X0,X1] : double_divide(multiply(multiply(double_divide(inverse(X1),X0),X0),double_divide(X2,X1)),identity) = X2,
inference(forward_demodulation,[],[f1263,f11]) ).
fof(f1263,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(double_divide(X0,double_divide(inverse(X1),X0))),double_divide(X2,X1)),identity) = X2,
inference(forward_demodulation,[],[f1262,f11]) ).
fof(f1262,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(double_divide(X2,X1),inverse(double_divide(X0,double_divide(inverse(X1),X0))))),identity) = X2,
inference(forward_demodulation,[],[f1261,f649]) ).
fof(f1261,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X2,X1),inverse(double_divide(X0,double_divide(inverse(X1),X0))))),identity) = X2,
inference(forward_demodulation,[],[f1237,f151]) ).
fof(f1237,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X2,X1),inverse(double_divide(X0,double_divide(inverse(X1),X0))))),inverse(identity)) = X2,
inference(superposition,[],[f7,f281]) ).
fof(f266,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(inverse(inverse(multiply(X1,X0)))),
inference(forward_demodulation,[],[f265,f13]) ).
fof(f265,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(identity,multiply(X1,X0))),
inference(forward_demodulation,[],[f252,f151]) ).
fof(f252,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(inverse(identity),multiply(X1,X0))),
inference(superposition,[],[f131,f11]) ).
fof(f1232,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(inverse(X1),X0))) = X1,
inference(superposition,[],[f281,f3]) ).
fof(f2317,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(X1,double_divide(X0,X1)),
inference(superposition,[],[f1646,f1747]) ).
fof(f1747,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(superposition,[],[f1230,f1626]) ).
fof(f1646,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(superposition,[],[f1603,f15]) ).
fof(f15,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(superposition,[],[f2,f2]) ).
fof(f1603,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f1230,f1583]) ).
fof(f2416,plain,
! [X0,X1] : inverse(X1) = multiply(X0,double_divide(X1,X0)),
inference(forward_demodulation,[],[f2375,f649]) ).
fof(f2375,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = double_divide(identity,X1),
inference(superposition,[],[f2352,f1265]) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP576-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.03/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 04:30:51 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (22549)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.32 % (22550)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.32 TRYING [1]
% 0.10/0.32 TRYING [2]
% 0.10/0.32 % (22552)WARNING: value z3 for option sas not known
% 0.10/0.33 % (22556)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)
% 0.10/0.33 % (22554)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)
% 0.10/0.33 % (22552)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)
% 0.10/0.33 % (22551)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.33 % (22553)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.33 % (22555)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)
% 0.10/0.33 TRYING [3]
% 0.10/0.33 TRYING [1]
% 0.10/0.33 TRYING [2]
% 0.10/0.33 TRYING [3]
% 0.10/0.33 TRYING [4]
% 0.10/0.34 TRYING [4]
% 0.10/0.34 TRYING [5]
% 0.15/0.37 TRYING [6]
% 0.15/0.37 TRYING [5]
% 0.15/0.37 % (22556)First to succeed.
% 0.15/0.38 % (22556)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (22556)------------------------------
% 0.15/0.38 % (22556)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (22556)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (22556)Memory used [KB]: 1542
% 0.15/0.38 % (22556)Time elapsed: 0.050 s
% 0.15/0.38 % (22556)Instructions burned: 120 (million)
% 0.15/0.38 % (22556)------------------------------
% 0.15/0.38 % (22556)------------------------------
% 0.15/0.38 % (22549)Success in time 0.063 s
%------------------------------------------------------------------------------