%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:36:35 AM UTC 2026
% Result : Unsatisfiable 3.65s 1.28s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 17 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] :
( defined(X0,X2)
| ~ defined(X1,X2)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom6) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_is_an_identity_map) ).
fof(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mapping_from_x_to_its_domain) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mapping_from_codomain_of_x_to_x) ).
fof(f19,axiom,
domain(a) = codomain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_a_equals_codomain_of_b) ).
fof(f20,negated_conjecture,
~ defined(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ab_is_defined) ).
fof(f21,plain,
defined(domain(a),b),
inference(superposition,[],[f13,f19]) ).
fof(f40,plain,
! [X0] :
( ~ defined(a,X0)
| ~ identity_map(X0)
| ~ defined(X0,b) ),
inference(resolution,[],[f9,f20]) ).
fof(f41,plain,
( ~ identity_map(domain(a))
| ~ defined(domain(a),b) ),
inference(resolution,[],[f40,f12]) ).
fof(f45,plain,
~ defined(domain(a),b),
inference(forward_subsumption_resolution,[],[f41,f10]) ).
fof(f46,plain,
$false,
inference(forward_subsumption_resolution,[],[f45,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 21:13:00 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.65/1.28 % (2192928)Input is clausal, will run a generic CNF schedule.
% 3.65/1.28 % (2193065)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=225882227:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.65/1.28 % (2193064)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3850893182:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.65/1.28 % (2193063)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3985211518:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.65/1.28 % (2193069)dis-21_1_sil=8000:lcm=predicate:random_seed=2717592980:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.65/1.28 % (2193068)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3234072502:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.65/1.28 % (2193066)lrs+10_1_sil=8000:sp=occurrence:random_seed=886711138:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.65/1.28 % (2193067)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4075742834:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.65/1.28 % (2193067)First to succeed.
% 3.65/1.28 % (2193067)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2192928"
% 3.65/1.28 % (2193066)Also succeeded, but the first one will report.
% 3.65/1.28 % (2193068)Also succeeded, but the first one will report.
% 3.65/1.28 % (2193069)Instruction limit reached!
% 3.65/1.28 % (2193069)------------------------------
% 3.65/1.28 % (2193069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (2193069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (2193069)CaDiCaL version: 2.1.3
% 3.65/1.28 % (2193069)Termination reason: Instruction limit
% 3.65/1.28 % (2193069)Termination phase: Saturation
% 3.65/1.28 % (2193069)Time elapsed: 0.072 s
% 3.65/1.28 % (2193069)Peak memory usage: 88 MB
% 3.65/1.28 % (2193069)Instructions burned: 118 (million)
% 3.65/1.28 % (2193077)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=201328455:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.65/1.28 % (2193077)Also succeeded, but the first one will report.
% 3.65/1.28 % (2193067)Refutation found. Thanks to Tanya!
% 3.65/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.65/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.28 % (2193067)------------------------------
% 3.65/1.28 % (2193067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.28 % (2193067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.28 % (2193067)CaDiCaL version: 2.1.3
% 3.65/1.28 % (2193067)Termination reason: Refutation
% 3.65/1.28 % (2193067)Time elapsed: 0.002 s
% 3.65/1.28 % (2193067)Peak memory usage: 88 MB
% 3.65/1.28 % (2193067)Instructions burned: 1 (million)
% 3.65/1.28 % (2193067)------------------------------
% 3.65/1.28 % (2193067)------------------------------
% 3.65/1.28 % (2192928)Success in time 0.434 s
% 3.65/1.28 % Vampire exiting
%------------------------------------------------------------------------------