TSTP Solution File: GRP459-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP459-1 : 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 : n011.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 06:09:00 EDT 2024
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 4
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1434,plain,
$false,
inference(trivial_inequality_removal,[],[f1416]) ).
fof(f1416,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f810]) ).
fof(f810,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f809,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f809,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X0,divide(identity,multiply(X1,X2))),
inference(forward_demodulation,[],[f787,f390]) ).
fof(f390,plain,
! [X2,X0,X1] : divide(divide(X0,X1),X2) = divide(X0,multiply(X2,X1)),
inference(forward_demodulation,[],[f384,f134]) ).
fof(f134,plain,
! [X0,X1] : multiply(X1,divide(identity,X0)) = divide(X1,X0),
inference(backward_demodulation,[],[f8,f133]) ).
fof(f133,plain,
! [X1] : multiply(identity,X1) = X1,
inference(backward_demodulation,[],[f128,f129]) ).
fof(f129,plain,
! [X0] : divide(multiply(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f105,f128]) ).
fof(f105,plain,
! [X0] : divide(divide(multiply(identity,X0),identity),identity) = X0,
inference(backward_demodulation,[],[f56,f102]) ).
fof(f102,plain,
! [X1] : multiply(identity,divide(X1,identity)) = divide(multiply(identity,X1),identity),
inference(backward_demodulation,[],[f86,f95]) ).
fof(f95,plain,
! [X0,X1] : divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),identity)))) = divide(multiply(identity,X1),identity),
inference(superposition,[],[f56,f6]) ).
fof(f6,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : divide(X0,X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f86,plain,
! [X0,X1] : divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),identity)))) = multiply(identity,divide(X1,identity)),
inference(backward_demodulation,[],[f72,f85]) ).
fof(f85,plain,
! [X0,X1] : multiply(identity,divide(X0,identity)) = divide(divide(identity,divide(X1,X0)),divide(identity,X1)),
inference(forward_demodulation,[],[f73,f7]) ).
fof(f7,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(superposition,[],[f2,f4]) ).
fof(f73,plain,
! [X0,X1] : multiply(identity,multiply(X0,identity)) = divide(divide(identity,divide(X1,X0)),divide(identity,X1)),
inference(superposition,[],[f42,f51]) ).
fof(f51,plain,
! [X0,X1] : divide(multiply(identity,multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[],[f50,f2]) ).
fof(f50,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[],[f39,f2]) ).
fof(f39,plain,
! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f6,f4]) ).
fof(f42,plain,
! [X0,X1] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(superposition,[],[f6,f4]) ).
fof(f72,plain,
! [X2,X0,X1] : divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),identity)))) = divide(divide(identity,divide(X2,X1)),divide(identity,X2)),
inference(superposition,[],[f42,f6]) ).
fof(f56,plain,
! [X0] : divide(multiply(identity,divide(X0,identity)),identity) = X0,
inference(superposition,[],[f51,f7]) ).
fof(f128,plain,
! [X1] : multiply(identity,X1) = divide(multiply(identity,X1),identity),
inference(backward_demodulation,[],[f95,f127]) ).
fof(f127,plain,
! [X0,X1] : multiply(identity,X1) = divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),identity)))),
inference(forward_demodulation,[],[f113,f2]) ).
fof(f113,plain,
! [X0,X1] : divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),identity)))) = divide(identity,divide(identity,X1)),
inference(superposition,[],[f88,f6]) ).
fof(f88,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f75,f4]) ).
fof(f75,plain,
! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[],[f42,f4]) ).
fof(f8,plain,
! [X0,X1] : multiply(X1,divide(identity,X0)) = divide(X1,multiply(identity,X0)),
inference(superposition,[],[f2,f2]) ).
fof(f384,plain,
! [X2,X0,X1] : divide(divide(X0,X1),X2) = multiply(X0,divide(identity,multiply(X2,X1))),
inference(backward_demodulation,[],[f279,f364]) ).
fof(f364,plain,
! [X0,X1] : divide(identity,multiply(X0,X1)) = divide(divide(identity,X1),X0),
inference(superposition,[],[f275,f2]) ).
fof(f275,plain,
! [X0,X1] : divide(identity,divide(X0,X1)) = divide(X1,X0),
inference(superposition,[],[f143,f150]) ).
fof(f150,plain,
! [X0,X1] : multiply(divide(identity,divide(X0,X1)),X0) = X1,
inference(backward_demodulation,[],[f82,f141]) ).
fof(f141,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f129,f133]) ).
fof(f82,plain,
! [X0,X1] : multiply(divide(identity,divide(X0,divide(X1,identity))),X0) = X1,
inference(superposition,[],[f42,f2]) ).
fof(f143,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(backward_demodulation,[],[f51,f133]) ).
fof(f279,plain,
! [X2,X0,X1] : multiply(X0,divide(divide(identity,X1),X2)) = divide(divide(X0,X1),X2),
inference(backward_demodulation,[],[f197,f275]) ).
fof(f197,plain,
! [X2,X0,X1] : multiply(X0,divide(divide(identity,X1),X2)) = divide(divide(identity,divide(X1,X0)),X2),
inference(superposition,[],[f6,f143]) ).
fof(f787,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X0,divide(divide(identity,X2),X1)),
inference(superposition,[],[f471,f2]) ).
fof(f471,plain,
! [X2,X0,X1] : divide(X0,divide(X2,X1)) = divide(multiply(X0,X1),X2),
inference(forward_demodulation,[],[f447,f373]) ).
fof(f373,plain,
! [X2,X0,X1] : multiply(X2,divide(X0,X1)) = divide(X2,divide(X1,X0)),
inference(superposition,[],[f2,f275]) ).
fof(f447,plain,
! [X2,X0,X1] : multiply(X0,divide(X1,X2)) = divide(multiply(X0,X1),X2),
inference(superposition,[],[f290,f143]) ).
fof(f290,plain,
! [X2,X0,X1] : divide(multiply(divide(X1,divide(X0,X2)),X0),X2) = X1,
inference(forward_demodulation,[],[f286,f2]) ).
fof(f286,plain,
! [X2,X0,X1] : divide(divide(divide(X1,divide(X0,X2)),divide(identity,X0)),X2) = X1,
inference(backward_demodulation,[],[f136,f275]) ).
fof(f136,plain,
! [X2,X0,X1] : divide(divide(identity,divide(divide(identity,X0),divide(X1,divide(X0,X2)))),X2) = X1,
inference(backward_demodulation,[],[f40,f133]) ).
fof(f40,plain,
! [X2,X0,X1] : divide(divide(identity,divide(divide(identity,X0),divide(X1,divide(multiply(identity,X0),X2)))),X2) = X1,
inference(superposition,[],[f6,f2]) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP459-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:37:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (9536)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (9539)WARNING: value z3 for option sas not known
% 0.15/0.38 % (9537)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (9540)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (9539)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)
% 0.15/0.38 % (9538)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (9541)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)
% 0.15/0.38 % (9542)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)
% 0.15/0.38 % (9543)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.22/0.40 TRYING [5]
% 0.22/0.41 TRYING [4]
% 0.22/0.42 % (9542)First to succeed.
% 0.22/0.42 % (9542)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9536"
% 0.22/0.42 % (9542)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42 % (9542)------------------------------
% 0.22/0.42 % (9542)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.42 % (9542)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (9542)Memory used [KB]: 1236
% 0.22/0.42 % (9542)Time elapsed: 0.041 s
% 0.22/0.42 % (9542)Instructions burned: 67 (million)
% 0.22/0.42 % (9536)Success in time 0.058 s
%------------------------------------------------------------------------------