TSTP Solution File: BOO029-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO029-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 04:42:52 EDT 2024
% Result : Unsatisfiable 5.95s 1.22s
% Output : Refutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38419,plain,
$false,
inference(unit_resulting_resolution,[],[f11,f35079]) ).
fof(f35079,plain,
! [X0,X1] : add(X0,inverse(X0)) = add(X1,inverse(X1)),
inference(forward_demodulation,[],[f34927,f34629]) ).
fof(f34629,plain,
! [X0,X1] : multiply(add(X0,inverse(X0)),X1) = X1,
inference(superposition,[],[f285,f5587]) ).
fof(f5587,plain,
! [X0,X1] : add(X1,add(X0,inverse(X1))) = add(X1,inverse(X1)),
inference(superposition,[],[f5428,f287]) ).
fof(f287,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = X0,
inference(superposition,[],[f148,f20]) ).
fof(f20,plain,
! [X3,X0] : multiply(X0,add(X3,X0)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,multiply(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,add(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2) ).
fof(f148,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(X0,X1)),
inference(superposition,[],[f34,f8]) ).
fof(f8,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f34,plain,
! [X0,X1] : multiply(X1,X0) = multiply(multiply(X1,X0),X0),
inference(superposition,[],[f20,f23]) ).
fof(f23,plain,
! [X3,X0] : add(X0,multiply(X3,X0)) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f5428,plain,
! [X0,X1] : add(X1,X0) = add(X1,multiply(X0,inverse(X1))),
inference(superposition,[],[f1245,f6]) ).
fof(f6,axiom,
! [X0,X1] : add(multiply(X0,X1),multiply(X0,inverse(X1))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).
fof(f1245,plain,
! [X2,X0,X1] : add(X0,X2) = add(X0,add(multiply(X1,X0),X2)),
inference(superposition,[],[f9,f23]) ).
fof(f9,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f285,plain,
! [X2,X0,X1] : multiply(add(X1,add(X0,X2)),X0) = X0,
inference(superposition,[],[f148,f4]) ).
fof(f34927,plain,
! [X0,X1] : add(X1,inverse(X1)) = add(X0,multiply(add(X1,inverse(X1)),inverse(X0))),
inference(superposition,[],[f657,f34626]) ).
fof(f34626,plain,
! [X0,X1] : multiply(X1,add(X0,inverse(X0))) = X1,
inference(superposition,[],[f4,f5587]) ).
fof(f657,plain,
! [X0,X1] : add(multiply(X1,X0),multiply(X0,inverse(X1))) = X0,
inference(superposition,[],[f6,f8]) ).
fof(f11,axiom,
add(b,inverse(b)) != add(a,inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : BOO029-1 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n008.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 : Fri May 3 18:49:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (24617)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (24620)WARNING: value z3 for option sas not known
% 0.15/0.37 % (24620)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 % (24619)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 % (24621)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (24622)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 % (24623)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 % (24618)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (24624)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]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [5]
% 0.21/0.42 TRYING [4]
% 0.21/0.45 TRYING [6]
% 0.21/0.51 TRYING [5]
% 0.21/0.54 TRYING [7]
% 2.01/0.70 TRYING [8]
% 3.07/0.82 TRYING [6]
% 4.71/1.05 TRYING [9]
% 5.95/1.21 % (24624)First to succeed.
% 5.95/1.21 % (24624)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24617"
% 5.95/1.22 % (24624)Refutation found. Thanks to Tanya!
% 5.95/1.22 % SZS status Unsatisfiable for theBenchmark
% 5.95/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 5.95/1.22 % (24624)------------------------------
% 5.95/1.22 % (24624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.95/1.22 % (24624)Termination reason: Refutation
% 5.95/1.22
% 5.95/1.22 % (24624)Memory used [KB]: 13690
% 5.95/1.22 % (24624)Time elapsed: 0.841 s
% 5.95/1.22 % (24624)Instructions burned: 2889 (million)
% 5.95/1.22 % (24617)Success in time 0.859 s
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