%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT001-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:36:50 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.26s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
fof(f13,axiom,
! [X2,X0,X1] :
( compose(compose(a,b),X0) != X1
| compose(compose(a,b),X2) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monomorphism) ).
fof(f15,axiom,
compose(b,h) = compose(b,g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bh_equals_bg) ).
fof(f16,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
fof(f18,plain,
! [X2,X0] :
( compose(compose(a,b),X0) != compose(compose(a,b),X2)
| X0 = X2 ),
inference(equality_resolution,[],[f13]) ).
fof(f45,plain,
! [X2,X0] :
( compose(compose(a,b),X0) != compose(a,compose(b,X2))
| X0 = X2 ),
inference(forward_demodulation,[],[f18,f9]) ).
fof(f46,plain,
! [X2,X0] :
( compose(a,compose(b,X2)) != compose(a,compose(b,X0))
| X0 = X2 ),
inference(forward_demodulation,[],[f45,f9]) ).
fof(f50,plain,
! [X0] :
( compose(a,compose(b,X0)) != compose(a,compose(b,h))
| g = X0 ),
inference(superposition,[],[f46,f15]) ).
fof(f324,plain,
h = g,
inference(equality_resolution,[],[f50]) ).
fof(f325,plain,
$false,
inference(forward_subsumption_resolution,[],[f324,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT001-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.18 % Computer : n019.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 21:11:33 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.26 % (286743)Will run a generic schedule for satisfiability detection.
% 0.11/0.26 % (286751)dis+10_1_sil=32000:sp=arity:random_seed=2820346889:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.26 % (286749)% WARNING: option uhcvi not known.
% 0.11/0.26 % (286751) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-286743-286751"...
% 0.11/0.26 % (286751)...printing done.
% 0.11/0.26 % (286748)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1384338936_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.26 % (286749)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=71348627:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.26 % (286750)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3419053423:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.26 % (286752)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1427108039:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.26 % (286751)Refutation found. Thanks to Tanya!
% 0.11/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.26 % (286751)------------------------------
% 0.11/0.26 % (286751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.26 % (286751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.26 % (286751)CaDiCaL version: 2.1.3
% 0.11/0.26 % (286751)Termination reason: Refutation
% 0.11/0.26 % (286751)Time elapsed: 0.004 s
% 0.11/0.26 % (286751)Peak memory usage: 11 MB
% 0.11/0.26 % (286751)Instructions burned: 12 (million)
% 0.11/0.26 % (286743)Success in time 0.037 s
% 0.11/0.26 % Vampire exiting
%------------------------------------------------------------------------------