%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE055+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 11:40:46 AM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 32 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 36 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain5) ).
fof(f18,conjecture,
! [X0] :
( addition(X0,one) = one
=> addition(X0,domain(X0)) = domain(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0] :
( addition(X0,one) = one
=> addition(X0,domain(X0)) = domain(X0) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0] :
( domain(X0) != addition(X0,domain(X0))
& addition(X0,one) = one ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( domain(sK0) != addition(sK0,domain(sK0))
& one = addition(sK0,one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20]) ).
fof(f22,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f35,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
one = addition(sK0,one),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
domain(sK0) != addition(sK0,domain(sK0)),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f35,f22]) ).
fof(f52,plain,
one = addition(one,sK0),
inference(superposition,[],[f38,f22]) ).
fof(f69,plain,
domain(one) = addition(domain(one),domain(sK0)),
inference(superposition,[],[f37,f52]) ).
fof(f164,plain,
domain(one) = addition(one,domain(one)),
inference(superposition,[],[f33,f27]) ).
fof(f174,plain,
one = domain(one),
inference(forward_demodulation,[],[f164,f51]) ).
fof(f219,plain,
! [X0] : multiplication(X0,one) = addition(multiplication(X0,one),multiplication(X0,sK0)),
inference(superposition,[],[f29,f52]) ).
fof(f248,plain,
! [X0] : addition(X0,multiplication(X0,sK0)) = X0,
inference(forward_demodulation,[],[f219,f27]) ).
fof(f309,plain,
! [X0] : multiplication(domain(one),X0) = addition(multiplication(domain(one),X0),multiplication(domain(sK0),X0)),
inference(superposition,[],[f30,f69]) ).
fof(f332,plain,
! [X0] : multiplication(one,X0) = addition(multiplication(one,X0),multiplication(domain(sK0),X0)),
inference(forward_demodulation,[],[f309,f174]) ).
fof(f351,plain,
! [X0] : addition(X0,multiplication(domain(sK0),X0)) = X0,
inference(forward_demodulation,[],[f332,f28]) ).
fof(f459,plain,
sK0 = multiplication(domain(sK0),sK0),
inference(superposition,[],[f33,f351]) ).
fof(f504,plain,
domain(sK0) = addition(domain(sK0),sK0),
inference(superposition,[],[f248,f459]) ).
fof(f506,plain,
domain(sK0) = addition(sK0,domain(sK0)),
inference(forward_demodulation,[],[f504,f22]) ).
fof(f507,plain,
$false,
inference(forward_subsumption_resolution,[],[f506,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE055+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:12:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.16/0.46 % (2627783)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (2627791)dis+10_1_sil=32000:sp=arity:random_seed=855493:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (2627789)% WARNING: option uhcvi not known.
% 0.16/0.46 % (2627788)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=490259373_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (2627789)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1164745101:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (2627790)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2377571591:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (2627793)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3747765013:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (2627792)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1899059034:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (2627794)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3656845206:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % (2627793) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2627783-2627793"...
% 0.16/0.47 % (2627793)...printing done.
% 0.16/0.47 % (2627793)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (2627793)------------------------------
% 0.16/0.47 % (2627793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (2627793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (2627793)CaDiCaL version: 2.1.3
% 0.16/0.47 % (2627793)Termination reason: Refutation
% 0.16/0.47 % (2627793)Time elapsed: 0.012 s
% 0.16/0.47 % (2627793)Peak memory usage: 12 MB
% 0.16/0.47 % (2627793)Instructions burned: 18 (million)
% 0.16/0.47 % (2627783)Success in time 0.051 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------