TSTP Solution File: CAT004-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT004-1 : 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 : n014.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 16.17s 2.71s
% Output : Refutation 16.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 25 unt; 0 def)
% Number of atoms : 61 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 30 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f148483,plain,
$false,
inference(subsumption_resolution,[],[f148429,f1488]) ).
fof(f1488,plain,
~ product(g,a,compose(h,a)),
inference(unit_resulting_resolution,[],[f24,f163,f19]) ).
fof(f19,axiom,
! [X0,X1,X6] :
( ~ product(X1,a,X6)
| X0 = X1
| ~ product(X0,a,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product1) ).
fof(f163,plain,
product(h,a,compose(h,a)),
inference(unit_resulting_resolution,[],[f147,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| product(X0,X1,compose(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_composition) ).
fof(f147,plain,
defined(h,a),
inference(unit_resulting_resolution,[],[f40,f49,f26]) ).
fof(f26,plain,
! [X0,X1,X4] :
( ~ sP0(X4,X1)
| defined(X0,X1)
| ~ defined(X0,X4) ),
inference(general_splitting,[],[f6,f25_D]) ).
fof(f25,plain,
! [X2,X1,X4] :
( ~ product(X1,X2,X4)
| sP0(X4,X1) ),
inference(cnf_transformation,[],[f25_D]) ).
fof(f25_D,plain,
! [X1,X4] :
( ! [X2] : ~ product(X1,X2,X4)
<=> ~ sP0(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6,axiom,
! [X2,X0,X1,X4] :
( ~ defined(X0,X4)
| defined(X0,X1)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom3) ).
fof(f49,plain,
sP0(c,a),
inference(unit_resulting_resolution,[],[f21,f25]) ).
fof(f21,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_equals_c) ).
fof(f40,plain,
defined(h,c),
inference(unit_resulting_resolution,[],[f22,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_property1) ).
fof(f22,axiom,
product(h,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hc_equals_d) ).
fof(f24,axiom,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f148429,plain,
product(g,a,compose(h,a)),
inference(superposition,[],[f169,f65909]) ).
fof(f65909,plain,
compose(h,a) = compose(g,a),
inference(unit_resulting_resolution,[],[f65644,f65906,f20]) ).
fof(f20,axiom,
! [X0,X1,X6] :
( ~ product(X1,b,X6)
| X0 = X1
| ~ product(X0,b,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product2) ).
fof(f65906,plain,
product(compose(h,a),b,d),
inference(unit_resulting_resolution,[],[f21,f31683,f33]) ).
fof(f33,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X1,X2,X4)
| product(X3,X2,X5)
| sP4(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f33_D]) ).
fof(f33_D,plain,
! [X1,X3,X4,X5] :
( ! [X2] :
( ~ product(X1,X2,X4)
| product(X3,X2,X5) )
<=> ~ sP4(X5,X4,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f31683,plain,
~ sP4(d,c,compose(h,a),a),
inference(forward_demodulation,[],[f31201,f9336]) ).
fof(f9336,plain,
d = compose(h,c),
inference(unit_resulting_resolution,[],[f22,f70,f18]) ).
fof(f18,axiom,
! [X2,X0,X1,X6] :
( ~ product(X0,X1,X6)
| X2 = X6
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_is_well_defined) ).
fof(f70,plain,
product(h,c,compose(h,c)),
inference(unit_resulting_resolution,[],[f40,f1]) ).
fof(f31201,plain,
~ sP4(compose(h,c),c,compose(h,a),a),
inference(unit_resulting_resolution,[],[f163,f70,f34]) ).
fof(f34,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP4(X5,X4,X3,X1)
| ~ product(X0,X4,X5)
| ~ product(X0,X1,X3) ),
inference(general_splitting,[],[f8,f33_D]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X4)
| ~ product(X0,X1,X3)
| ~ product(X0,X4,X5)
| product(X3,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom5) ).
fof(f65644,plain,
product(compose(g,a),b,d),
inference(unit_resulting_resolution,[],[f21,f31423,f33]) ).
fof(f31423,plain,
~ sP4(d,c,compose(g,a),a),
inference(forward_demodulation,[],[f31363,f9351]) ).
fof(f9351,plain,
d = compose(g,c),
inference(unit_resulting_resolution,[],[f23,f71,f18]) ).
fof(f71,plain,
product(g,c,compose(g,c)),
inference(unit_resulting_resolution,[],[f41,f1]) ).
fof(f41,plain,
defined(g,c),
inference(unit_resulting_resolution,[],[f23,f2]) ).
fof(f23,axiom,
product(g,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gc_equals_d) ).
fof(f31363,plain,
~ sP4(compose(g,c),c,compose(g,a),a),
inference(unit_resulting_resolution,[],[f169,f71,f34]) ).
fof(f169,plain,
product(g,a,compose(g,a)),
inference(unit_resulting_resolution,[],[f148,f1]) ).
fof(f148,plain,
defined(g,a),
inference(unit_resulting_resolution,[],[f41,f49,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT004-1 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat May 18 11:32:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (27430)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (27433)WARNING: value z3 for option sas not known
% 0.12/0.36 % (27432)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (27434)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (27433)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 [1]
% 0.12/0.36 % (27431)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 [2]
% 0.12/0.36 % (27436)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)
% 0.12/0.36 % (27437)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)
% 0.12/0.36 % (27435)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)
% 0.12/0.36 TRYING [3]
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [4]
% 0.12/0.37 TRYING [2]
% 0.12/0.38 TRYING [3]
% 0.12/0.38 TRYING [5]
% 0.19/0.40 TRYING [4]
% 0.19/0.42 TRYING [6]
% 0.19/0.50 TRYING [5]
% 1.48/0.54 TRYING [7]
% 3.05/0.77 TRYING [6]
% 3.34/0.80 TRYING [8]
% 6.62/1.32 TRYING [9]
% 7.89/1.46 TRYING [1]
% 7.89/1.46 TRYING [2]
% 7.89/1.46 TRYING [3]
% 7.89/1.47 TRYING [4]
% 7.89/1.48 TRYING [5]
% 8.43/1.54 TRYING [6]
% 9.30/1.67 TRYING [7]
% 10.00/1.78 TRYING [7]
% 11.56/1.99 TRYING [8]
% 12.89/2.21 TRYING [10]
% 16.17/2.70 % (27437)First to succeed.
% 16.17/2.70 % (27437)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27430"
% 16.17/2.71 % (27437)Refutation found. Thanks to Tanya!
% 16.17/2.71 % SZS status Unsatisfiable for theBenchmark
% 16.17/2.71 % SZS output start Proof for theBenchmark
% See solution above
% 16.17/2.71 % (27437)------------------------------
% 16.17/2.71 % (27437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 16.17/2.71 % (27437)Termination reason: Refutation
% 16.17/2.71
% 16.17/2.71 % (27437)Memory used [KB]: 13572
% 16.17/2.71 % (27437)Time elapsed: 2.345 s
% 16.17/2.71 % (27437)Instructions burned: 3676 (million)
% 16.17/2.71 % (27430)Success in time 2.351 s
%------------------------------------------------------------------------------