%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM848+2 : TPTP v9.3.1. Released v4.1.0.
% 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 12:25:54 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 15 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 0 =>; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 4)') ).
fof(f2,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f10,axiom,
! [X0,X1] :
( vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0)
& vmul(X0,v1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f12,axiom,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f14,axiom,
! [X0] : vplus(v1,X0) = vsucc(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f18,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(flattening,[],[f2]) ).
fof(f21,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(cnf_transformation,[],[f18]) ).
fof(f30,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f38,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))),
inference(definition_unfolding,[],[f21,f33]) ).
fof(f42,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f30,f33]) ).
fof(f621,plain,
! [X0,X1] : vmul(X0,vplus(v1,X1)) = vplus(X0,vmul(X0,X1)),
inference(forward_demodulation,[],[f42,f31]) ).
fof(f829,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))),
inference(superposition,[],[f38,f621]) ).
fof(f840,plain,
vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))) != vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))),
inference(forward_demodulation,[],[f829,f31]) ).
fof(f841,plain,
$false,
inference(trivial_inequality_removal,[],[f840]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM848+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 21:30:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.45 % (3423553)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (3423560)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2903253079:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (3423559)% WARNING: option uhcvi not known.
% 0.10/0.45 % (3423558)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3340501842_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (3423559)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=845839335:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (3423563)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3230527576:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (3423561)dis+10_1_sil=32000:sp=arity:random_seed=3393569615:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (3423562)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3846674312:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (3423564)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=849325458:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (3423560) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3423553-3423560"...
% 0.10/0.45 % (3423562) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3423553-3423562"...
% 0.10/0.45 % (3423560)...printing done.
% 0.10/0.45 % (3423559) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3423553-3423559"...
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % (3423564) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3423553-3423564"...
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % (3423560)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (3423560)------------------------------
% 0.10/0.45 % (3423560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (3423560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (3423560)CaDiCaL version: 2.1.3
% 0.10/0.45 % (3423560)Termination reason: Refutation
% 0.10/0.45 % (3423560)Time elapsed: 0.009 s
% 0.10/0.45 % (3423560)Peak memory usage: 12 MB
% 0.10/0.45 % (3423560)Instructions burned: 27 (million)
% 0.10/0.45 % (3423553)Success in time 0.041 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------