TSTP Solution File: CAT009-3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT009-3 : 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 : n015.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 15:51:16 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 21 unt; 0 def)
% Number of atoms : 53 ( 23 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f109,f280]) ).
fof(f280,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f279]) ).
fof(f279,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f278,f25]) ).
fof(f25,plain,
sF1 != sF2,
inference(definition_folding,[],[f19,f24,f23,f22]) ).
fof(f22,plain,
compose(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f23,plain,
sF1 = domain(sF0),
introduced(function_definition,[]) ).
fof(f24,plain,
domain(b) = sF2,
introduced(function_definition,[]) ).
fof(f19,axiom,
domain(compose(a,b)) != domain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_ab_equals_domain_of_b) ).
fof(f278,plain,
( sF1 = sF2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f277,f23]) ).
fof(f277,plain,
( domain(sF0) = sF2
| ~ spl3_3 ),
inference(forward_demodulation,[],[f276,f70]) ).
fof(f70,plain,
( codomain(sF2) = sF2
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl3_3
<=> codomain(sF2) = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f276,plain,
domain(sF0) = codomain(sF2),
inference(subsumption_resolution,[],[f273,f27]) ).
fof(f27,plain,
there_exists(sF0),
inference(forward_demodulation,[],[f18,f22]) ).
fof(f18,axiom,
there_exists(compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_exists) ).
fof(f273,plain,
( ~ there_exists(sF0)
| domain(sF0) = codomain(sF2) ),
inference(superposition,[],[f7,f205]) ).
fof(f205,plain,
compose(sF0,sF2) = sF0,
inference(forward_demodulation,[],[f204,f22]) ).
fof(f204,plain,
compose(a,b) = compose(sF0,sF2),
inference(forward_demodulation,[],[f199,f24]) ).
fof(f199,plain,
compose(a,b) = compose(sF0,domain(b)),
inference(superposition,[],[f77,f10]) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_domain) ).
fof(f77,plain,
! [X8] : compose(a,compose(b,X8)) = compose(sF0,X8),
inference(superposition,[],[f9,f22]) ).
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(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f109,plain,
spl3_1,
inference(avatar_split_clause,[],[f108,f31]) ).
fof(f31,plain,
( spl3_1
<=> there_exists(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f108,plain,
there_exists(b),
inference(subsumption_resolution,[],[f104,f50]) ).
fof(f50,plain,
there_exists(domain(a)),
inference(subsumption_resolution,[],[f46,f27]) ).
fof(f46,plain,
( ~ there_exists(sF0)
| there_exists(domain(a)) ),
inference(superposition,[],[f6,f22]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_domain) ).
fof(f104,plain,
( there_exists(b)
| ~ there_exists(domain(a)) ),
inference(superposition,[],[f5,f65]) ).
fof(f65,plain,
domain(a) = codomain(b),
inference(subsumption_resolution,[],[f62,f27]) ).
fof(f62,plain,
( ~ there_exists(sF0)
| domain(a) = codomain(b) ),
inference(superposition,[],[f7,f22]) ).
fof(f5,axiom,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_has_elements) ).
fof(f71,plain,
( spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f66,f31,f68]) ).
fof(f66,plain,
( ~ there_exists(b)
| codomain(sF2) = sF2 ),
inference(forward_demodulation,[],[f63,f24]) ).
fof(f63,plain,
( ~ there_exists(b)
| domain(b) = codomain(sF2) ),
inference(superposition,[],[f7,f43]) ).
fof(f43,plain,
b = compose(b,sF2),
inference(superposition,[],[f10,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT009-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 16:29:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (8017)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.49 % (8001)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (8001)Instruction limit reached!
% 0.20/0.49 % (8001)------------------------------
% 0.20/0.49 % (8001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (8001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (8001)Termination reason: Unknown
% 0.20/0.49 % (8001)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (8001)Memory used [KB]: 895
% 0.20/0.49 % (8001)Time elapsed: 0.004 s
% 0.20/0.49 % (8001)Instructions burned: 2 (million)
% 0.20/0.49 % (8001)------------------------------
% 0.20/0.49 % (8001)------------------------------
% 0.20/0.50 % (8017)First to succeed.
% 0.20/0.51 % (8017)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (8017)------------------------------
% 0.20/0.51 % (8017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (8017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (8017)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (8017)Memory used [KB]: 5628
% 0.20/0.51 % (8017)Time elapsed: 0.085 s
% 0.20/0.51 % (8017)Instructions burned: 12 (million)
% 0.20/0.51 % (8017)------------------------------
% 0.20/0.51 % (8017)------------------------------
% 0.20/0.51 % (7992)Success in time 0.152 s
%------------------------------------------------------------------------------