%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE074+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 11:40:49 AM UTC 2026
% Result : Theorem 0.14s 0.45s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain2) ).
fof(f18,conjecture,
! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) = domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) = domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0,X1,X2] : domain(multiplication(multiplication(X0,X1),domain(X2))) != domain(multiplication(X0,domain(multiplication(X1,domain(X2))))),
inference(ennf_transformation,[],[f19]) ).
fof(f25,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f37,plain,
domain(multiplication(multiplication(sK0,sK1),domain(sK2))) != domain(multiplication(sK0,domain(multiplication(sK1,domain(sK2))))),
inference(cnf_transformation,[],[f20]) ).
fof(f47,plain,
! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,domain(multiplication(X0,X1)))),
inference(superposition,[],[f33,f33]) ).
fof(f51,plain,
domain(multiplication(multiplication(sK0,sK1),domain(sK2))) != domain(multiplication(sK0,multiplication(sK1,domain(sK2)))),
inference(superposition,[],[f37,f33]) ).
fof(f53,plain,
domain(multiplication(sK0,multiplication(sK1,domain(sK2)))) != domain(multiplication(multiplication(sK0,sK1),sK2)),
inference(forward_demodulation,[],[f51,f33]) ).
fof(f56,plain,
! [X2,X0,X1] : domain(multiplication(X2,multiplication(X0,domain(X1)))) = domain(multiplication(X2,multiplication(X0,X1))),
inference(forward_demodulation,[],[f47,f33]) ).
fof(f57,plain,
domain(multiplication(sK0,multiplication(sK1,domain(sK2)))) != domain(multiplication(sK0,multiplication(sK1,sK2))),
inference(forward_demodulation,[],[f53,f25]) ).
fof(f59,plain,
$false,
inference(forward_subsumption_resolution,[],[f57,f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE074+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:15:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 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
% 0.14/0.45 % (3558615)Will run a generic schedule for satisfiability detection.
% 0.14/0.45 % (3558626)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3786996770:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.45 % (3558624)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2295025478:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.45 % (3558620)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=232010727_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.45 % (3558622)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2978420456:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.45 % (3558624) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3558615-3558624"...
% 0.14/0.45 % TRYING [1]
% 0.14/0.45 % TRYING [2]
% 0.14/0.45 % (3558621)% WARNING: option uhcvi not known.
% 0.14/0.45 % (3558624)...printing done.
% 0.14/0.45 % TRYING [3]
% 0.14/0.45 % (3558624)Refutation found. Thanks to Tanya!
% 0.14/0.45 % SZS status Theorem for theBenchmark
% 0.14/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.45 % (3558624)------------------------------
% 0.14/0.45 % (3558624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.45 % (3558624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.45 % (3558624)CaDiCaL version: 2.1.3
% 0.14/0.45 % (3558624)Termination reason: Refutation
% 0.14/0.45 % (3558624)Time elapsed: 0.002 s
% 0.14/0.45 % (3558624)Peak memory usage: 12 MB
% 0.14/0.45 % (3558624)Instructions burned: 2 (million)
% 0.14/0.45 % (3558615)Success in time 0.04 s
% 0.14/0.45 % Vampire exiting
%------------------------------------------------------------------------------