TSTP Solution File: CAT006-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT006-1 : 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 : n018.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 15:50:40 EDT 2022
% Result : Unsatisfiable 0.16s 0.45s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 36 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f349,plain,
$false,
inference(subsumption_resolution,[],[f332,f240]) ).
fof(f240,plain,
product(h,codomain(a),codomain(a)),
inference(subsumption_resolution,[],[f237,f20]) ).
fof(f20,axiom,
identity_map(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_is_the_identity_map) ).
fof(f237,plain,
( ~ identity_map(h)
| product(h,codomain(a),codomain(a)) ),
inference(resolution,[],[f176,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ identity_map(X0)
| ~ defined(X0,X1)
| product(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity1) ).
fof(f176,plain,
defined(h,codomain(a)),
inference(resolution,[],[f32,f15]) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_on_codomain) ).
fof(f32,plain,
! [X6,X5] :
( ~ product(X5,X6,a)
| defined(h,X5) ),
inference(resolution,[],[f19,f6]) ).
fof(f6,axiom,
! [X2,X0,X1,X4] :
( ~ defined(X0,X4)
| defined(X0,X1)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom3) ).
fof(f19,axiom,
defined(h,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ha_defined) ).
fof(f332,plain,
~ product(h,codomain(a),codomain(a)),
inference(resolution,[],[f241,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ product(X0,X1,h)
| ~ product(X0,X1,codomain(a)) ),
inference(resolution,[],[f23,f24]) ).
fof(f24,plain,
! [X2,X0,X1,X6] :
( sQ0_eqProxy(X2,X6)
| ~ product(X0,X1,X2)
| ~ product(X0,X1,X6) ),
inference(equality_proxy_replacement,[],[f18,f22]) ).
fof(f22,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,X2)
| ~ product(X0,X1,X6)
| X2 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_is_well_defined) ).
fof(f23,plain,
~ sQ0_eqProxy(h,codomain(a)),
inference(equality_proxy_replacement,[],[f21,f22]) ).
fof(f21,axiom,
h != codomain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_is_h) ).
fof(f241,plain,
product(h,codomain(a),h),
inference(subsumption_resolution,[],[f238,f11]) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
fof(f238,plain,
( product(h,codomain(a),h)
| ~ identity_map(codomain(a)) ),
inference(resolution,[],[f176,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| product(X0,X1,X0)
| ~ identity_map(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CAT006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 16:20:39 EDT 2022
% 0.15/0.31 % CPUTime :
% 0.16/0.42 % (23138)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)
% 0.16/0.42 % (23124)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.45 % (23138)First to succeed.
% 0.16/0.45 % (23138)Refutation found. Thanks to Tanya!
% 0.16/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.45 % (23138)------------------------------
% 0.16/0.45 % (23138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45 % (23138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.45 % (23138)Termination reason: Refutation
% 0.16/0.45
% 0.16/0.45 % (23138)Memory used [KB]: 6012
% 0.16/0.45 % (23138)Time elapsed: 0.053 s
% 0.16/0.45 % (23138)Instructions burned: 19 (million)
% 0.16/0.45 % (23138)------------------------------
% 0.16/0.45 % (23138)------------------------------
% 0.16/0.45 % (23114)Success in time 0.13 s
%------------------------------------------------------------------------------