%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI122_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:34:05 AM UTC 2026
% Result : Theorem 0.08s 0.16s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 26 ( 6 ~; 0 |; 18 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 87 ( 0 atm; 26 fun; 45 num; 16 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 4 usr; 9 con; 0-2 aty)
% Number of variables : 16 ( 8 !; 8 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(func_def_9,type,
sK1: $int ).
tff(func_def_10,type,
sK2: $int ).
tff(func_def_11,type,
sK3: $int ).
tff(f1,conjecture,
! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( ( $product(2,3) = X0 )
& ( $product(X0,6) = X1 )
& ( $product(3,6) = X2 )
& ( $product(2,X2) = X3 ) )
=> ( X1 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_product) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( ( $product(2,3) = X0 )
& ( $product(X0,6) = X1 )
& ( $product(3,6) = X2 )
& ( $product(2,X2) = X3 ) )
=> ( X1 = X3 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f21,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X1 != X3 )
& ( $product(2,3) = X0 )
& ( $product(X0,6) = X1 )
& ( $product(3,6) = X2 )
& ( $product(2,X2) = X3 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f22,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X1 != X3 )
& ( $product(2,3) = X0 )
& ( $product(X0,6) = X1 )
& ( $product(3,6) = X2 )
& ( $product(2,X2) = X3 ) ),
inference(flattening,[],[f21]) ).
tff(f23,plain,
( ( sK1 != sK3 )
& ( $product(2,3) = sK0 )
& ( sK1 = $product(sK0,6) )
& ( $product(3,6) = sK2 )
& ( sK3 = $product(2,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f22]) ).
tff(f24,plain,
sK3 = $product(2,sK2),
inference(cnf_transformation,[],[f23]) ).
tff(f25,plain,
$product(3,6) = sK2,
inference(cnf_transformation,[],[f23]) ).
tff(f26,plain,
sK1 = $product(sK0,6),
inference(cnf_transformation,[],[f23]) ).
tff(f27,plain,
$product(2,3) = sK0,
inference(cnf_transformation,[],[f23]) ).
tff(f28,plain,
sK1 != sK3,
inference(cnf_transformation,[],[f23]) ).
tff(f30,plain,
sK2 = 18,
inference(evaluation,[],[f25]) ).
tff(f31,plain,
6 = sK0,
inference(evaluation,[],[f27]) ).
tff(f32,plain,
sK3 = $product(2,18),
inference(forward_demodulation,[],[f24,f30]) ).
tff(f33,plain,
sK3 = 36,
inference(evaluation,[],[f32]) ).
tff(f34,plain,
sK1 != 36,
inference(superposition,[],[f28,f33]) ).
tff(f35,plain,
sK1 = $product(6,6),
inference(forward_demodulation,[],[f26,f31]) ).
tff(f36,plain,
sK1 = 36,
inference(evaluation,[],[f35]) ).
tff(f37,plain,
$false,
inference(forward_subsumption_resolution,[],[f34,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI122_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 20:42:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.13 Running first-order model finding
% 0.08/0.13 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
% 0.08/0.16 % (3722891)Will run a generic schedule for satisfiability detection.
% 0.08/0.16 % (3722911)% WARNING: option uhcvi not known.
% 0.08/0.16 % (3722910)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2230574420_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.16 % (3722912)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2514169485:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.16 % (3722911)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2138289329:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.16 % (3722914)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2906380864:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.16 % (3722913)dis+10_1_sil=32000:sp=arity:random_seed=3480008741:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.16 % (3722915)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1780355487:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.16 % (3722916)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2924476019:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.16 % (3722910)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.16 % (3722910)Terminated due to inappropriate strategy.
% 0.08/0.16 % (3722910)------------------------------
% 0.08/0.16 % (3722910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16 % (3722910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16 % (3722910)CaDiCaL version: 2.1.3
% 0.08/0.16 % (3722910)Termination reason: Inappropriate
% 0.08/0.16 % (3722910)Time elapsed: 0.0000 s
% 0.08/0.16 % (3722910)Peak memory usage: 10 MB
% 0.08/0.16 % (3722913) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3722891-3722913"...
% 0.08/0.16 % (3722915) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3722891-3722915"...
% 0.08/0.16 % (3722910)------------------------------
% 0.08/0.16 % (3722910)------------------------------
% 0.08/0.16 % (3722912) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3722891-3722912"...
% 0.08/0.16 % (3722914) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3722891-3722914"...
% 0.08/0.16 % (3722911) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3722891-3722911"...
% 0.08/0.16 % (3722916) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3722891-3722916"...
% 0.08/0.16 % (3722912)...printing done.
% 0.08/0.16 % (3722914)...printing done.
% 0.08/0.16 % (3722913)...printing done.
% 0.08/0.16 % (3722916)...printing done.
% 0.08/0.16 % (3722915)...printing done.
% 0.08/0.16 % (3722911)...printing done.
% 0.08/0.16 % (3722913)Refutation found. Thanks to Tanya!
% 0.08/0.16 % SZS status Theorem for theBenchmark
% 0.08/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.16 % (3722913)------------------------------
% 0.08/0.16 % (3722913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16 % (3722913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16 % (3722913)CaDiCaL version: 2.1.3
% 0.08/0.16 % (3722913)Termination reason: Refutation
% 0.08/0.16 % (3722913)Time elapsed: 0.001 s
% 0.08/0.16 % (3722913)Peak memory usage: 12 MB
% 0.08/0.16 % (3722913)Instructions burned: 1 (million)
% 0.08/0.16 % (3722891)Success in time 0.03 s
% 0.08/0.16 % Vampire exiting
%------------------------------------------------------------------------------