TSTP Solution File: CAT011-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT011-1 : 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 : n029.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 15:51:17 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 25 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(subsumption_resolution,[],[f180,f25]) ).
fof(f25,plain,
defined(sF0,sF1),
inference(superposition,[],[f12,f21]) ).
fof(f21,plain,
sF1 = domain(sF0),
introduced(function_definition,[]) ).
fof(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mapping_from_x_to_its_domain) ).
fof(f180,plain,
~ defined(sF0,sF1),
inference(subsumption_resolution,[],[f179,f22]) ).
fof(f22,plain,
sF0 != sF1,
inference(definition_folding,[],[f19,f21,f20,f20]) ).
fof(f20,plain,
domain(a) = sF0,
introduced(function_definition,[]) ).
fof(f19,axiom,
domain(a) != domain(domain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
fof(f179,plain,
( sF0 = sF1
| ~ defined(sF0,sF1) ),
inference(subsumption_resolution,[],[f177,f24]) ).
fof(f24,plain,
identity_map(sF0),
inference(superposition,[],[f10,f20]) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_is_an_identity_map) ).
fof(f177,plain,
( ~ identity_map(sF0)
| ~ defined(sF0,sF1)
| sF0 = sF1 ),
inference(resolution,[],[f165,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,X1)
| ~ defined(X0,X1)
| ~ identity_map(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity1) ).
fof(f165,plain,
! [X14] :
( ~ product(sF0,sF1,X14)
| sF0 = X14 ),
inference(resolution,[],[f18,f28]) ).
fof(f28,plain,
product(sF0,sF1,sF0),
inference(superposition,[],[f14,f21]) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_on_domain) ).
fof(f18,axiom,
! [X2,X0,X1,X6] :
( ~ product(X0,X1,X6)
| ~ product(X0,X1,X2)
| X2 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_is_well_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CAT011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n029.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 : Mon Aug 29 16:27:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.50 % (11269)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50 % (11286)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.50 % (11260)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50 % (11278)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.50 % (11270)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (11263)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.51 % (11270)First to succeed.
% 0.18/0.51 % (11270)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (11270)------------------------------
% 0.18/0.51 % (11270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (11270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (11270)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (11270)Memory used [KB]: 5500
% 0.18/0.51 % (11270)Time elapsed: 0.100 s
% 0.18/0.51 % (11270)Instructions burned: 8 (million)
% 0.18/0.51 % (11270)------------------------------
% 0.18/0.51 % (11270)------------------------------
% 0.18/0.51 % (11257)Success in time 0.166 s
%------------------------------------------------------------------------------