TSTP Solution File: CAT004-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT004-3 : TPTP v8.2.0. Released v1.0.0.
% 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 : Mon May 20 19:01:12 EDT 2024
% Result : Unsatisfiable 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5765,plain,
$false,
inference(subsumption_resolution,[],[f5764,f22]) ).
fof(f22,axiom,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_ab_equals_g_ab) ).
fof(f5764,plain,
compose(h,compose(a,b)) != compose(g,compose(a,b)),
inference(forward_demodulation,[],[f5763,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).
fof(f5763,plain,
compose(g,compose(a,b)) != compose(compose(h,a),b),
inference(forward_demodulation,[],[f5761,f9]) ).
fof(f5761,plain,
compose(compose(h,a),b) != compose(compose(g,a),b),
inference(unit_resulting_resolution,[],[f5697,f24]) ).
fof(f24,plain,
! [X2,X0] :
( compose(X0,b) != compose(X2,b)
| X0 = X2 ),
inference(equality_resolution,[],[f20]) ).
fof(f20,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(X2,b) != X1
| compose(X0,b) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product2) ).
fof(f5697,plain,
compose(h,a) != compose(g,a),
inference(unit_resulting_resolution,[],[f23,f25]) ).
fof(f25,plain,
! [X2,X0] :
( compose(X0,a) != compose(X2,a)
| X0 = X2 ),
inference(equality_resolution,[],[f19]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( X0 = X2
| compose(X2,a) != X1
| compose(X0,a) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product1) ).
fof(f23,axiom,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT004-3 : TPTP v8.2.0. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 11:36:22 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (32479)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (32482)WARNING: value z3 for option sas not known
% 0.14/0.37 % (32486)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)
% 0.14/0.37 % (32481)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (32483)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (32485)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)
% 0.14/0.37 % (32484)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)
% 0.14/0.37 % (32480)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (32482)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.40 TRYING [5]
% 0.14/0.41 TRYING [4]
% 0.20/0.44 % (32486)First to succeed.
% 0.20/0.44 % (32486)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32479"
% 0.20/0.45 % (32486)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45 % (32486)------------------------------
% 0.20/0.45 % (32486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.45 % (32486)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (32486)Memory used [KB]: 1408
% 0.20/0.45 % (32486)Time elapsed: 0.076 s
% 0.20/0.45 % (32486)Instructions burned: 152 (million)
% 0.20/0.45 % (32479)Success in time 0.092 s
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