%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM846+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 : n014.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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 2)') ).
fof(f2,negated_conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(285, 440, 0)') ).
fof(f47,axiom,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f57,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(flattening,[],[f2]) ).
fof(f87,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(cnf_transformation,[],[f57]) ).
fof(f90,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
inference(cnf_transformation,[],[f5]) ).
fof(f141,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f47]) ).
fof(f182,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vd436,vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
inference(forward_demodulation,[],[f87,f141]) ).
fof(f184,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(forward_demodulation,[],[f182,f90]) ).
fof(f185,plain,
$false,
inference(forward_subsumption_resolution,[],[f184,f141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM846+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n014.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 21:30:16 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 0.14/0.45 % (1186328)Will run a generic schedule for satisfiability detection.
% 0.14/0.45 % (1186333)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3888248444_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.45 % TRYING [1]
% 0.14/0.45 % TRYING [2]
% 0.14/0.45 % (1186334)% WARNING: option uhcvi not known.
% 0.14/0.45 % TRYING [3]
% 0.14/0.45 % (1186334)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=450533189:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.45 % (1186337)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2122584797:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.45 % (1186335)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2132887616:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.45 % (1186336)dis+10_1_sil=32000:sp=arity:random_seed=351252503:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.45 % TRYING [4]
% 0.14/0.45 % (1186338)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4228699688:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.45 % (1186339)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2778043554:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.45 % (1186337) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1186328-1186337"...
% 0.14/0.45 % (1186338) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1186328-1186338"...
% 0.14/0.45 % (1186337)...printing done.
% 0.14/0.45 % (1186338)...printing done.
% 0.14/0.45 % (1186337)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 % (1186337)------------------------------
% 0.14/0.45 % (1186337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.45 % (1186337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.45 % (1186337)CaDiCaL version: 2.1.3
% 0.14/0.45 % (1186337)Termination reason: Refutation
% 0.14/0.45 % (1186337)Time elapsed: 0.003 s
% 0.14/0.45 % (1186337)Peak memory usage: 12 MB
% 0.14/0.45 % (1186337)Instructions burned: 4 (million)
% 0.14/0.45 % (1186328)Success in time 0.038 s
% 0.14/0.45 % Vampire exiting
%------------------------------------------------------------------------------