TSTP Solution File: CAT014-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT014-1 : 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_uns --cores 0 -t %d %s
% Computer : n014.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 15:50:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 23 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 8 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,plain,
$false,
inference(subsumption_resolution,[],[f38,f11]) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
fof(f38,plain,
~ identity_map(codomain(a)),
inference(subsumption_resolution,[],[f35,f13]) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mapping_from_codomain_of_x_to_x) ).
fof(f35,plain,
( ~ defined(codomain(codomain(a)),codomain(a))
| ~ identity_map(codomain(a)) ),
inference(resolution,[],[f30,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| ~ identity_map(X1)
| product(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity2) ).
fof(f30,plain,
~ product(codomain(codomain(a)),codomain(a),codomain(codomain(a))),
inference(resolution,[],[f24,f15]) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_on_codomain) ).
fof(f24,plain,
! [X0,X1] :
( ~ product(X0,X1,codomain(a))
| ~ product(X0,X1,codomain(codomain(a))) ),
inference(resolution,[],[f21,f22]) ).
fof(f22,plain,
! [X2,X0,X1,X6] :
( sQ0_eqProxy(X2,X6)
| ~ product(X0,X1,X2)
| ~ product(X0,X1,X6) ),
inference(equality_proxy_replacement,[],[f18,f20]) ).
fof(f20,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
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) ).
fof(f21,plain,
~ sQ0_eqProxy(codomain(a),codomain(codomain(a))),
inference(equality_proxy_replacement,[],[f19,f20]) ).
fof(f19,axiom,
codomain(a) != codomain(codomain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n014.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 16:20:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (5145)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.45 % (5138)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.46 % (5145)First to succeed.
% 0.19/0.46 % (5138)Instruction limit reached!
% 0.19/0.46 % (5138)------------------------------
% 0.19/0.46 % (5138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (5138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (5138)Termination reason: Unknown
% 0.19/0.46 % (5138)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (5138)Memory used [KB]: 5884
% 0.19/0.46 % (5138)Time elapsed: 0.052 s
% 0.19/0.46 % (5138)Instructions burned: 2 (million)
% 0.19/0.46 % (5138)------------------------------
% 0.19/0.46 % (5138)------------------------------
% 0.19/0.46 % (5145)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (5145)------------------------------
% 0.19/0.46 % (5145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (5145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (5145)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (5145)Memory used [KB]: 5884
% 0.19/0.46 % (5145)Time elapsed: 0.052 s
% 0.19/0.46 % (5145)Instructions burned: 1 (million)
% 0.19/0.46 % (5145)------------------------------
% 0.19/0.46 % (5145)------------------------------
% 0.19/0.46 % (5121)Success in time 0.118 s
%------------------------------------------------------------------------------