TSTP Solution File: GRP539-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP539-1 : 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 : n019.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 12:07:29 EDT 2024
% Result : Unsatisfiable 4.17s 0.94s
% Output : Refutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22677,plain,
$false,
inference(trivial_inequality_removal,[],[f22605]) ).
fof(f22605,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f9388]) ).
fof(f9388,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f9180,f8]) ).
fof(f8,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f7,f6]) ).
fof(f6,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(forward_demodulation,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f9180,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = divide(X0,inverse(multiply(X1,X2))),
inference(superposition,[],[f44,f5214]) ).
fof(f5214,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),multiply(X1,X2)) = X0,
inference(superposition,[],[f43,f59]) ).
fof(f59,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f57,f8]) ).
fof(f57,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(superposition,[],[f1,f44]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f43,plain,
! [X2,X0,X1] : divide(multiply(X0,X1),multiply(divide(X0,X2),X1)) = X2,
inference(forward_demodulation,[],[f33,f8]) ).
fof(f33,plain,
! [X2,X0,X1] : divide(multiply(X0,X1),divide(divide(X0,X2),inverse(X1))) = X2,
inference(superposition,[],[f1,f8]) ).
fof(f44,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f35,f6]) ).
fof(f35,plain,
! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(superposition,[],[f1,f4]) ).
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
% 0.02/0.11 % Problem : GRP539-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 04:28:29 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (4666)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (4669)WARNING: value z3 for option sas not known
% 0.12/0.35 % (4668)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (4670)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (4673)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)
% 0.12/0.35 % (4671)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)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 % (4672)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)
% 0.12/0.35 % (4669)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)
% 0.12/0.36 TRYING [3]
% 0.12/0.36 % (4667)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 TRYING [4]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.37 TRYING [5]
% 0.18/0.38 TRYING [4]
% 0.18/0.39 TRYING [6]
% 0.18/0.43 TRYING [5]
% 0.18/0.45 TRYING [7]
% 1.57/0.61 TRYING [8]
% 2.41/0.69 TRYING [6]
% 3.66/0.92 TRYING [9]
% 4.17/0.94 % (4673)First to succeed.
% 4.17/0.94 % (4673)Refutation found. Thanks to Tanya!
% 4.17/0.94 % SZS status Unsatisfiable for theBenchmark
% 4.17/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 4.17/0.94 % (4673)------------------------------
% 4.17/0.94 % (4673)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.17/0.94 % (4673)Termination reason: Refutation
% 4.17/0.94
% 4.17/0.94 % (4673)Memory used [KB]: 10004
% 4.17/0.94 % (4673)Time elapsed: 0.584 s
% 4.17/0.94 % (4673)Instructions burned: 1268 (million)
% 4.17/0.94 % (4673)------------------------------
% 4.17/0.94 % (4673)------------------------------
% 4.17/0.94 % (4666)Success in time 0.593 s
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