TSTP Solution File: GRP564-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP564-1 : 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 : n017.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 12:07:34 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f694,plain,
$false,
inference(trivial_inequality_removal,[],[f693]) ).
fof(f693,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f3,f562]) ).
fof(f562,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f512,f73]) ).
fof(f73,plain,
! [X3,X1] : divide(multiply(X3,X1),X3) = X1,
inference(forward_demodulation,[],[f72,f2]) ).
fof(f2,axiom,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f72,plain,
! [X3,X1] : divide(divide(X3,inverse(X1)),X3) = X1,
inference(forward_demodulation,[],[f53,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f53,plain,
! [X2,X3,X0,X1] : divide(divide(X3,divide(divide(multiply(X0,inverse(X1)),X2),divide(X0,X2))),X3) = X1,
inference(superposition,[],[f7,f22]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
inference(superposition,[],[f4,f4]) ).
fof(f512,plain,
! [X0,X1] : multiply(divide(X1,X0),X0) = X1,
inference(superposition,[],[f70,f318]) ).
fof(f318,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(superposition,[],[f133,f70]) ).
fof(f133,plain,
! [X2,X1] : divide(multiply(X1,X2),X2) = X1,
inference(forward_demodulation,[],[f119,f90]) ).
fof(f90,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(superposition,[],[f77,f73]) ).
fof(f77,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f4,f73]) ).
fof(f119,plain,
! [X2,X0,X1] : divide(multiply(X1,X2),multiply(divide(X0,X0),X2)) = X1,
inference(superposition,[],[f8,f90]) ).
fof(f8,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[],[f5,f2]) ).
fof(f5,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[],[f4,f2]) ).
fof(f70,plain,
! [X3,X1] : multiply(multiply(inverse(X3),X1),X3) = X1,
inference(forward_demodulation,[],[f69,f2]) ).
fof(f69,plain,
! [X3,X1] : multiply(divide(inverse(X3),inverse(X1)),X3) = X1,
inference(forward_demodulation,[],[f44,f4]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(X3),divide(divide(multiply(X0,inverse(X1)),X2),divide(X0,X2))),X3) = X1,
inference(superposition,[],[f22,f22]) ).
fof(f3,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP564-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 04:08:18 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (23664)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (23669)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)
% 0.15/0.37 % (23667)WARNING: value z3 for option sas not known
% 0.15/0.37 % (23668)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (23666)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (23665)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (23670)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)
% 0.15/0.37 % (23667)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)
% 0.15/0.37 % (23671)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (23671)First to succeed.
% 0.15/0.39 % (23667)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [5]
% 0.15/0.39 % (23671)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (23671)------------------------------
% 0.15/0.39 % (23671)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (23671)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (23671)Memory used [KB]: 1071
% 0.15/0.39 % (23671)Time elapsed: 0.021 s
% 0.15/0.39 % (23671)Instructions burned: 33 (million)
% 0.15/0.39 % (23671)------------------------------
% 0.15/0.39 % (23671)------------------------------
% 0.15/0.39 % (23664)Success in time 0.036 s
%------------------------------------------------------------------------------