TSTP Solution File: CAT010-4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT010-4 : 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 : n001.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 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 19 unt; 0 def)
% Number of atoms : 47 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 13 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f293,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f292]) ).
fof(f292,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f283,f18]) ).
fof(f18,plain,
sF2 != sF1,
inference(definition_folding,[],[f13,f17,f16,f15]) ).
fof(f15,plain,
compose(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f16,plain,
codomain(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f17,plain,
codomain(a) = sF2,
introduced(function_definition,[]) ).
fof(f13,axiom,
codomain(compose(a,b)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_ab_equals_codomain_of_a) ).
fof(f283,plain,
( sF2 = sF1
| ~ spl3_2 ),
inference(superposition,[],[f282,f68]) ).
fof(f68,plain,
( domain(sF2) = sF2
| ~ spl3_2 ),
inference(forward_demodulation,[],[f67,f17]) ).
fof(f67,plain,
( codomain(a) = domain(sF2)
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f65,f29]) ).
fof(f29,plain,
( there_exists(a)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl3_2
<=> there_exists(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f65,plain,
( codomain(a) = domain(sF2)
| ~ there_exists(a) ),
inference(superposition,[],[f7,f34]) ).
fof(f34,plain,
a = compose(sF2,a),
inference(superposition,[],[f11,f17]) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f282,plain,
domain(sF2) = sF1,
inference(forward_demodulation,[],[f281,f16]) ).
fof(f281,plain,
domain(sF2) = codomain(sF0),
inference(subsumption_resolution,[],[f279,f19]) ).
fof(f19,plain,
there_exists(sF0),
inference(forward_demodulation,[],[f12,f15]) ).
fof(f12,axiom,
there_exists(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_exists) ).
fof(f279,plain,
( domain(sF2) = codomain(sF0)
| ~ there_exists(sF0) ),
inference(superposition,[],[f7,f270]) ).
fof(f270,plain,
compose(sF2,sF0) = sF0,
inference(superposition,[],[f228,f15]) ).
fof(f228,plain,
! [X15] : compose(sF2,compose(a,X15)) = compose(a,X15),
inference(superposition,[],[f9,f34]) ).
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_compose) ).
fof(f49,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f48]) ).
fof(f48,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f47,f28]) ).
fof(f28,plain,
( ~ there_exists(a)
| spl3_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f47,plain,
there_exists(a),
inference(resolution,[],[f45,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f45,plain,
there_exists(domain(a)),
inference(subsumption_resolution,[],[f37,f19]) ).
fof(f37,plain,
( there_exists(domain(a))
| ~ there_exists(sF0) ),
inference(superposition,[],[f6,f15]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_implies_domain) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % 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 : n001.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 16:38:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (2043)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)
% 0.19/0.55 % (2058)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)
% 0.19/0.55 % (2067)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55 % (2050)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (2066)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55 % (2051)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (2059)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.58 % (2050)First to succeed.
% 0.19/0.58 % (2050)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (2050)------------------------------
% 0.19/0.58 % (2050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (2050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (2050)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (2050)Memory used [KB]: 5500
% 0.19/0.58 % (2050)Time elapsed: 0.164 s
% 0.19/0.58 % (2050)Instructions burned: 9 (million)
% 0.19/0.58 % (2050)------------------------------
% 0.19/0.58 % (2050)------------------------------
% 0.19/0.58 % (2037)Success in time 0.233 s
%------------------------------------------------------------------------------