%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 09:36:52 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 48 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ defined(X2,X3)
| defined(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).
fof(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity2) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).
fof(f19,axiom,
defined(a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_defined) ).
fof(f20,axiom,
identity_map(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_identity_map) ).
fof(f21,negated_conjecture,
domain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
fof(f22,plain,
d != domain(a),
inference(reorient_equations,[],[f21]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ defined(X0,X2)
| defined(X2,X1)
| ~ identity_map(X2)
| ~ defined(X0,X1) ),
inference(resolution,[],[f3,f17]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| X1 = X2
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
inference(resolution,[],[f18,f16]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| X1 = X2
| ~ identity_map(X0) ),
inference(forward_subsumption_resolution,[],[f57,f2]) ).
fof(f120,plain,
! [X0,X1] :
( ~ defined(X1,X0)
| ~ identity_map(X1)
| ~ identity_map(X0)
| X0 = X1 ),
inference(resolution,[],[f58,f17]) ).
fof(f157,plain,
! [X0] :
( defined(d,X0)
| ~ identity_map(d)
| ~ defined(a,X0) ),
inference(resolution,[],[f29,f19]) ).
fof(f159,plain,
! [X0] :
( ~ defined(a,X0)
| defined(d,X0) ),
inference(forward_subsumption_resolution,[],[f157,f20]) ).
fof(f163,plain,
defined(d,domain(a)),
inference(resolution,[],[f159,f12]) ).
fof(f727,plain,
( ~ identity_map(d)
| ~ identity_map(domain(a))
| d = domain(a) ),
inference(resolution,[],[f120,f163]) ).
fof(f738,plain,
( ~ identity_map(domain(a))
| d = domain(a) ),
inference(forward_subsumption_resolution,[],[f727,f20]) ).
fof(f753,plain,
d = domain(a),
inference(forward_subsumption_resolution,[],[f738,f10]) ).
fof(f759,plain,
$false,
inference(forward_subsumption_resolution,[],[f753,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:14:43 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.26 % (2027095)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (2027103)dis+10_1_sil=32000:sp=arity:random_seed=458499629:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (2027101)% WARNING: option uhcvi not known.
% 0.09/0.26 % (2027100)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3603587561_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % (2027102)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3635810871:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (2027101)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1011314419:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (2027106)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3961330548:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (2027104)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2611433713:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (2027105)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2738516502:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % TRYING [1]
% 0.09/0.26 % TRYING [2]
% 0.09/0.26 % (2027103) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2027095-2027103"...
% 0.09/0.26 % TRYING [3]
% 0.09/0.26 % (2027103)...printing done.
% 0.09/0.26 % TRYING [4]
% 0.09/0.26 % (2027103)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (2027103)------------------------------
% 0.09/0.26 % (2027103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (2027103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (2027103)CaDiCaL version: 2.1.3
% 0.09/0.26 % (2027103)Termination reason: Refutation
% 0.09/0.26 % (2027103)Time elapsed: 0.009 s
% 0.09/0.26 % (2027103)Peak memory usage: 11 MB
% 0.09/0.26 % (2027103)Instructions burned: 21 (million)
% 0.09/0.26 % (2027095)Success in time 0.027 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------