%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM844+1 : 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 : n018.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 12:25:53 PM UTC 2026
% Result : Theorem 0.14s 0.45s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(266, 415, 3)') ).
fof(f2,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f46,axiom,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f48,axiom,
! [X0] : vplus(v1,X0) = vsucc(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f56,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(flattening,[],[f2]) ).
fof(f86,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(cnf_transformation,[],[f56]) ).
fof(f139,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f141,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f48]) ).
fof(f150,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) != vplus(vmul(vd411,vd413),vplus(vplus(v1,vd411),vd413)),
inference(definition_unfolding,[],[f86,f141,f141]) ).
fof(f217,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))) != vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))),
inference(superposition,[],[f150,f139]) ).
fof(f219,plain,
$false,
inference(trivial_inequality_removal,[],[f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM844+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 21:31:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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 % (2746142)Will run a generic schedule for satisfiability detection.
% 0.14/0.45 % (2746147)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=458741989_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.45 % TRYING [1]
% 0.14/0.45 % TRYING [2]
% 0.14/0.45 % (2746148)% WARNING: option uhcvi not known.
% 0.14/0.45 % TRYING [3]
% 0.14/0.45 % TRYING [4]
% 0.14/0.45 % (2746148)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2161259098:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.45 % (2746153)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1055474604:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.45 % (2746149)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2135671394:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.45 % (2746150)dis+10_1_sil=32000:sp=arity:random_seed=474714214:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.45 % (2746151)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2098661894:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.45 % (2746152)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2489815711:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.45 % (2746148) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746142-2746148"...
% 0.14/0.45 % (2746150) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746142-2746150"...
% 0.14/0.45 % (2746151) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746142-2746151"...
% 0.14/0.45 % (2746152) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746142-2746152"...
% 0.14/0.45 % (2746153) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746142-2746153"...
% 0.14/0.45 % (2746149) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2746142-2746149"...
% 0.14/0.45 % (2746148)...printing done.
% 0.14/0.45 % (2746152)...printing done.
% 0.14/0.45 % (2746150)...printing done.
% 0.14/0.45 % (2746151)...printing done.
% 0.14/0.45 % (2746153)...printing done.
% 0.14/0.45 % (2746149)...printing done.
% 0.14/0.45 % (2746148)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 % (2746148)------------------------------
% 0.14/0.45 % (2746148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.45 % (2746148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.45 % (2746148)CaDiCaL version: 2.1.3
% 0.14/0.45 % (2746148)Termination reason: Refutation
% 0.14/0.45 % (2746148)Time elapsed: 0.003 s
% 0.14/0.45 % (2746148)Peak memory usage: 12 MB
% 0.14/0.45 % (2746148)Instructions burned: 3 (million)
% 0.14/0.45 % (2746142)Success in time 0.045 s
% 0.14/0.45 % Vampire exiting
%------------------------------------------------------------------------------