TSTP Solution File: CAT002-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT002-1 : 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 : n025.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 19:01:10 EDT 2024
% Result : Unsatisfiable 6.22s 1.22s
% Output : Refutation 6.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 56 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22519,plain,
$false,
inference(subsumption_resolution,[],[f22518,f41]) ).
fof(f41,plain,
defined(b,h),
inference(resolution,[],[f38,f28]) ).
fof(f28,plain,
defined(c,h),
inference(resolution,[],[f2,f22]) ).
fof(f22,axiom,
product(c,h,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ch_equals_d) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_property1) ).
fof(f38,plain,
! [X0] :
( ~ defined(c,X0)
| defined(b,X0) ),
inference(resolution,[],[f3,f21]) ).
fof(f21,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_equals_c) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| defined(X1,X2)
| ~ defined(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_property2) ).
fof(f22518,plain,
~ defined(b,h),
inference(subsumption_resolution,[],[f22488,f24]) ).
fof(f24,axiom,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f22488,plain,
( h = g
| ~ defined(b,h) ),
inference(resolution,[],[f22475,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ product(b,X0,compose(b,X1))
| X0 = X1
| ~ defined(b,X1) ),
inference(resolution,[],[f20,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( product(X0,X1,compose(X0,X1))
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_composition) ).
fof(f20,axiom,
! [X0,X1,X6] :
( ~ product(b,X1,X6)
| X0 = X1
| ~ product(b,X0,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product2) ).
fof(f22475,plain,
product(b,g,compose(b,h)),
inference(subsumption_resolution,[],[f22452,f42]) ).
fof(f42,plain,
defined(b,g),
inference(resolution,[],[f38,f29]) ).
fof(f29,plain,
defined(c,g),
inference(resolution,[],[f2,f23]) ).
fof(f23,axiom,
product(c,g,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cg_equals_d) ).
fof(f22452,plain,
( product(b,g,compose(b,h))
| ~ defined(b,g) ),
inference(superposition,[],[f1,f22403]) ).
fof(f22403,plain,
compose(b,h) = compose(b,g),
inference(resolution,[],[f2508,f2624]) ).
fof(f2624,plain,
product(a,compose(b,g),d),
inference(subsumption_resolution,[],[f2621,f42]) ).
fof(f2621,plain,
( product(a,compose(b,g),d)
| ~ defined(b,g) ),
inference(resolution,[],[f2552,f1]) ).
fof(f2552,plain,
! [X0] :
( ~ product(b,g,X0)
| product(a,X0,d) ),
inference(resolution,[],[f378,f21]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ product(X2,X0,c)
| ~ product(X0,g,X1)
| product(X2,X1,d) ),
inference(resolution,[],[f5,f23]) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X2,X5)
| ~ product(X1,X2,X4)
| ~ product(X0,X1,X3)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom2) ).
fof(f2508,plain,
! [X0] :
( ~ product(a,X0,d)
| compose(b,h) = X0 ),
inference(resolution,[],[f2507,f19]) ).
fof(f19,axiom,
! [X0,X1,X6] :
( ~ product(a,X1,X6)
| X0 = X1
| ~ product(a,X0,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product1) ).
fof(f2507,plain,
product(a,compose(b,h),d),
inference(subsumption_resolution,[],[f2504,f41]) ).
fof(f2504,plain,
( product(a,compose(b,h),d)
| ~ defined(b,h) ),
inference(resolution,[],[f2446,f1]) ).
fof(f2446,plain,
! [X0] :
( ~ product(b,h,X0)
| product(a,X0,d) ),
inference(resolution,[],[f377,f21]) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ product(X2,X0,c)
| ~ product(X0,h,X1)
| product(X2,X1,d) ),
inference(resolution,[],[f5,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : CAT002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sat May 18 11:30:38 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (3186)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (3187)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (3189)WARNING: value z3 for option sas not known
% 0.19/0.34 % (3189)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)
% 0.19/0.34 % (3192)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)
% 0.19/0.34 % (3190)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.34 % (3191)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)
% 0.19/0.34 TRYING [1]
% 0.19/0.34 % (3193)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)
% 0.19/0.34 TRYING [2]
% 0.19/0.35 TRYING [3]
% 0.19/0.35 TRYING [4]
% 0.19/0.35 TRYING [1]
% 0.19/0.35 % (3188)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.35 TRYING [2]
% 0.19/0.36 TRYING [3]
% 0.19/0.36 TRYING [5]
% 0.19/0.38 TRYING [4]
% 0.19/0.40 TRYING [6]
% 0.19/0.45 TRYING [5]
% 0.19/0.50 TRYING [7]
% 2.26/0.66 TRYING [6]
% 2.69/0.71 TRYING [8]
% 4.80/1.08 TRYING [9]
% 6.22/1.22 % (3189)First to succeed.
% 6.22/1.22 % (3189)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3186"
% 6.22/1.22 % (3189)Refutation found. Thanks to Tanya!
% 6.22/1.22 % SZS status Unsatisfiable for theBenchmark
% 6.22/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 6.22/1.22 % (3189)------------------------------
% 6.22/1.22 % (3189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.22/1.22 % (3189)Termination reason: Refutation
% 6.22/1.22
% 6.22/1.22 % (3189)Memory used [KB]: 9957
% 6.22/1.22 % (3189)Time elapsed: 0.877 s
% 6.22/1.22 % (3189)Instructions burned: 1666 (million)
% 6.22/1.22 % (3186)Success in time 0.89 s
%------------------------------------------------------------------------------