TSTP Solution File: CAT018-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT018-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 15:51:19 EDT 2022
% Result : Unsatisfiable 1.65s 0.61s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 41 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f317,plain,
$false,
inference(subsumption_resolution,[],[f314,f23]) ).
fof(f23,plain,
~ defined(a,sF0),
inference(definition_folding,[],[f21,f22]) ).
fof(f22,plain,
compose(b,c) = sF0,
introduced(function_definition,[]) ).
fof(f21,axiom,
~ defined(a,compose(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_bc_exists) ).
fof(f314,plain,
defined(a,sF0),
inference(resolution,[],[f208,f152]) ).
fof(f152,plain,
defined(codomain(b),sF0),
inference(resolution,[],[f80,f28]) ).
fof(f28,plain,
product(b,c,sF0),
inference(subsumption_resolution,[],[f27,f20]) ).
fof(f20,axiom,
defined(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_bc_exists) ).
fof(f27,plain,
( product(b,c,sF0)
| ~ defined(b,c) ),
inference(superposition,[],[f1,f22]) ).
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(f80,plain,
! [X8,X9,X7] :
( ~ product(X7,X8,X9)
| defined(codomain(X7),X9) ),
inference(subsumption_resolution,[],[f75,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_property1) ).
fof(f75,plain,
! [X8,X9,X7] :
( ~ defined(X7,X8)
| defined(codomain(X7),X9)
| ~ product(X7,X8,X9) ),
inference(resolution,[],[f4,f15]) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_on_codomain) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X3)
| ~ defined(X3,X2)
| ~ product(X1,X2,X4)
| defined(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom1) ).
fof(f208,plain,
! [X4] :
( ~ defined(codomain(b),X4)
| defined(a,X4) ),
inference(resolution,[],[f59,f54]) ).
fof(f54,plain,
defined(a,codomain(b)),
inference(resolution,[],[f50,f15]) ).
fof(f50,plain,
! [X10,X11] :
( ~ product(X10,X11,b)
| defined(a,X10) ),
inference(resolution,[],[f6,f19]) ).
fof(f19,axiom,
defined(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_ab_exists) ).
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(f59,plain,
! [X3,X4,X5] :
( ~ defined(X3,codomain(X5))
| ~ defined(codomain(X5),X4)
| defined(X3,X4) ),
inference(resolution,[],[f9,f11]) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ identity_map(X1)
| defined(X0,X2)
| ~ defined(X0,X1)
| ~ defined(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 16:31:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.52 % (7380)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (7396)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (7388)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 1.42/0.55 TRYING [4]
% 1.42/0.56 % (7397)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.42/0.56 % (7389)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.65/0.57 % (7381)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.65/0.59 % (7381)Instruction limit reached!
% 1.65/0.59 % (7381)------------------------------
% 1.65/0.59 % (7381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (7381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (7381)Termination reason: Unknown
% 1.65/0.59 % (7381)Termination phase: Saturation
% 1.65/0.59
% 1.65/0.59 % (7381)Memory used [KB]: 5500
% 1.65/0.59 % (7381)Time elapsed: 0.103 s
% 1.65/0.59 % (7381)Instructions burned: 7 (million)
% 1.65/0.59 % (7381)------------------------------
% 1.65/0.59 % (7381)------------------------------
% 1.65/0.59 TRYING [5]
% 1.65/0.60 % (7389)First to succeed.
% 1.65/0.61 % (7389)Refutation found. Thanks to Tanya!
% 1.65/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.65/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.65/0.61 % (7389)------------------------------
% 1.65/0.61 % (7389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.61 % (7389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.61 % (7389)Termination reason: Refutation
% 1.65/0.61
% 1.65/0.61 % (7389)Memory used [KB]: 1151
% 1.65/0.61 % (7389)Time elapsed: 0.116 s
% 1.65/0.61 % (7389)Instructions burned: 18 (million)
% 1.65/0.61 % (7389)------------------------------
% 1.65/0.61 % (7389)------------------------------
% 1.65/0.61 % (7373)Success in time 0.258 s
%------------------------------------------------------------------------------