%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM852+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:25:55 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 17 unt; 0 def)
% Number of atoms : 23 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 23 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)') ).
fof(f2,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
greater(vd481,vd480),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq(304)), 483, 0)') ).
fof(f11,axiom,
! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f12,axiom,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f21,axiom,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : X1 = vplus(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f22,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(flattening,[],[f2]) ).
fof(f30,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(cnf_transformation,[],[f22]) ).
fof(f31,plain,
greater(vd481,vd480),
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f12]) ).
fof(f50,plain,
! [X2,X0,X1] :
( vplus(X0,X2) != X1
| greater(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f56,plain,
! [X2,X0] : greater(vplus(X0,X2),X0),
inference(equality_resolution,[],[f50]) ).
fof(f59,plain,
~ greater(vmul(vd481,vd469),vmul(vd469,vd480)),
inference(forward_demodulation,[],[f30,f40]) ).
fof(f61,plain,
~ greater(vmul(vd469,vd481),vmul(vd469,vd480)),
inference(forward_demodulation,[],[f59,f40]) ).
fof(f98,plain,
vd481 = vplus(vd480,sK1(vd480,vd481)),
inference(resolution,[],[f51,f31]) ).
fof(f132,plain,
! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)),
inference(superposition,[],[f56,f39]) ).
fof(f214,plain,
! [X0] : greater(vmul(X0,vd481),vmul(X0,vd480)),
inference(superposition,[],[f132,f98]) ).
fof(f226,plain,
$false,
inference(resolution,[],[f214,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM852+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 21:35:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.12/0.45 % (3426026)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (3426037)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3903110194:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (3426032)% WARNING: option uhcvi not known.
% 0.12/0.45 % (3426031)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1872920380_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % (3426036)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=235979060:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % (3426033)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1197290809:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (3426034)dis+10_1_sil=32000:sp=arity:random_seed=2569557411:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (3426035)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3907019457:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (3426032)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1187214468:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % TRYING [1]
% 0.12/0.45 % TRYING [2]
% 0.12/0.45 % TRYING [3]
% 0.12/0.45 % (3426035) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3426026-3426035"...
% 0.12/0.45 % (3426032) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3426026-3426032"...
% 0.12/0.45 % (3426035)...printing done.
% 0.12/0.45 % (3426032)...printing done.
% 0.12/0.45 % (3426035)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (3426035)------------------------------
% 0.12/0.45 % (3426035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (3426035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (3426035)CaDiCaL version: 2.1.3
% 0.12/0.45 % (3426035)Termination reason: Refutation
% 0.12/0.45 % (3426035)Time elapsed: 0.006 s
% 0.12/0.45 % (3426035)Peak memory usage: 12 MB
% 0.12/0.45 % (3426035)Instructions burned: 7 (million)
% 0.12/0.45 % (3426026)Success in time 0.044 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------