%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM857+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:17:17 PM UTC 2026
% Result : Theorem 3.69s 1.50s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 21 unt; 0 def)
% Number of atoms : 67 ( 13 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 65 ( 33 ~; 23 |; 7 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
geq(vmul(vd526,vd529),vmul(vd527,vd530)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(323), 532, 0)') ).
fof(f2,negated_conjecture,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
geq(vd529,vd530),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(antec(323)), 531, 0)') ).
fof(f4,axiom,
geq(vd526,vd527),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(antec(323)), 528, 0)') ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( ( ( greater(X2,X3)
& geq(X0,X1) )
| ( geq(X2,X3)
& greater(X0,X1) ) )
=> greater(vmul(X0,X2),vmul(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(318, 0), 0)') ).
fof(f15,axiom,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f38,axiom,
! [X0,X1] :
( geq(X1,X0)
<=> ( greater(X1,X0)
| X1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f63,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(flattening,[],[f2]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ( ( ~ greater(X2,X3)
| ~ geq(X0,X1) )
& ( ~ geq(X2,X3)
| ~ greater(X0,X1) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f84,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( ~ greater(X1,X0)
& X0 != X1 ) )
& ( greater(X1,X0)
| X1 = X0
| ~ geq(X1,X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f85,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( ~ greater(X1,X0)
& X0 != X1 ) )
& ( greater(X1,X0)
| X1 = X0
| ~ geq(X1,X0) ) ),
inference(flattening,[],[f84]) ).
fof(f90,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(cnf_transformation,[],[f63]) ).
fof(f91,plain,
geq(vd526,vd527),
inference(cnf_transformation,[],[f4]) ).
fof(f92,plain,
! [X0,X1] :
( greater(X1,X0)
| X0 = X1
| ~ geq(X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f93,plain,
! [X0,X1] :
( geq(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f94,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ geq(X2,X3)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X2,X3)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f100,plain,
geq(vd529,vd530),
inference(cnf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f126,plain,
! [X1] : geq(X1,X1),
inference(equality_resolution,[],[f93]) ).
fof(f134,plain,
~ greater(vmul(vd526,vd529),vmul(vd527,vd530)),
inference(resolution,[],[f94,f90]) ).
fof(f360,plain,
( ~ geq(vd529,vd530)
| ~ greater(vd526,vd527) ),
inference(resolution,[],[f98,f134]) ).
fof(f371,plain,
~ greater(vd526,vd527),
inference(forward_subsumption_resolution,[],[f360,f100]) ).
fof(f372,plain,
( vd526 = vd527
| ~ geq(vd526,vd527) ),
inference(resolution,[],[f371,f92]) ).
fof(f373,plain,
vd526 = vd527,
inference(forward_subsumption_resolution,[],[f372,f91]) ).
fof(f378,plain,
( ~ greater(vd529,vd530)
| ~ geq(vd526,vd527) ),
inference(resolution,[],[f99,f134]) ).
fof(f389,plain,
~ greater(vd529,vd530),
inference(forward_subsumption_resolution,[],[f378,f91]) ).
fof(f390,plain,
( vd529 = vd530
| ~ geq(vd529,vd530) ),
inference(resolution,[],[f389,f92]) ).
fof(f391,plain,
vd529 = vd530,
inference(forward_subsumption_resolution,[],[f390,f100]) ).
fof(f440,plain,
~ geq(vmul(vd526,vd529),vmul(vd527,vd529)),
inference(superposition,[],[f90,f391]) ).
fof(f441,plain,
~ geq(vmul(vd526,vd529),vmul(vd529,vd527)),
inference(forward_demodulation,[],[f440,f101]) ).
fof(f443,plain,
~ geq(vmul(vd526,vd529),vmul(vd529,vd526)),
inference(forward_demodulation,[],[f441,f373]) ).
fof(f445,plain,
~ geq(vmul(vd526,vd529),vmul(vd526,vd529)),
inference(forward_demodulation,[],[f443,f101]) ).
fof(f447,plain,
$false,
inference(forward_subsumption_resolution,[],[f445,f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM857+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 21:35:27 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.69/1.50 % (572762)Detected formulas, will run a generic FOF schedule.
% 3.69/1.50 % (572773)dis-21_1_sil=8000:lcm=predicate:random_seed=418427056:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.69/1.50 % (572768)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2139436674:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.69/1.50 % (572767)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3905000193:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.69/1.50 % (572769)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2715151469:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.69/1.50 % (572773)Instruction limit reached!
% 3.69/1.50 % (572773)------------------------------
% 3.69/1.50 % (572773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.50 % (572773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.50 % (572773)CaDiCaL version: 2.1.3
% 3.69/1.50 % (572773)Termination reason: Instruction limit
% 3.69/1.50 % (572773)Termination phase: Saturation
% 3.69/1.50 % (572773)Time elapsed: 0.046 s
% 3.69/1.50 % (572773)Peak memory usage: 89 MB
% 3.69/1.50 % (572773)Instructions burned: 131 (million)
% 3.69/1.50 % (572771)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3785079513:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.69/1.50 % (572770)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3734815083:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.69/1.50 % (572770)Refutation not found, incomplete strategy
% 3.69/1.50 % (572770)------------------------------
% 3.69/1.50 % (572770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.50 % (572770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.50 % (572770)CaDiCaL version: 2.1.3
% 3.69/1.50 % (572770)Termination reason: Refutation not found, incomplete strategy
% 3.69/1.50 % (572770)Time elapsed: 0.002 s
% 3.69/1.50 % (572770)Peak memory usage: 88 MB
% 3.69/1.50 % (572770)Instructions burned: 1 (million)
% 3.69/1.50 % (572772)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1603221221:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.69/1.50 % (572771)First to succeed.
% 3.69/1.50 % (572771)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-572762"
% 3.69/1.50 % (572772)Instruction limit reached!
% 3.69/1.50 % (572772)------------------------------
% 3.69/1.50 % (572772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.50 % (572772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.50 % (572772)CaDiCaL version: 2.1.3
% 3.69/1.50 % (572772)Termination reason: Instruction limit
% 3.69/1.50 % (572772)Termination phase: Saturation
% 3.69/1.50 % (572772)Time elapsed: 0.048 s
% 3.69/1.50 % (572772)Peak memory usage: 90 MB
% 3.69/1.50 % (572772)Instructions burned: 141 (million)
% 3.69/1.50 % (572780)lrs+10_1_sil=8000:sp=occurrence:random_seed=2678516853:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.69/1.50 % (572782)lrs+10_1_sil=32000:urr=on:br=off:random_seed=120891:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.69/1.50 % (572782)Also succeeded, but the first one will report.
% 3.69/1.50 % (572780)Also succeeded, but the first one will report.
% 3.69/1.50 % (572770)------------------------------
% 3.69/1.50 % (572770)------------------------------
% 3.69/1.50 % (572771)Refutation found. Thanks to Tanya!
% 3.69/1.50 % SZS status Theorem for theBenchmark
% 3.69/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.50 % (572771)------------------------------
% 3.81/1.50 % (572771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.50 % (572771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.50 % (572771)CaDiCaL version: 2.1.3
% 3.81/1.50 % (572771)Termination reason: Refutation
% 3.81/1.50 % (572771)Time elapsed: 0.009 s
% 3.81/1.50 % (572771)Peak memory usage: 88 MB
% 3.81/1.50 % (572771)Instructions burned: 12 (million)
% 3.81/1.50 % (572771)------------------------------
% 3.81/1.50 % (572771)------------------------------
% 3.81/1.50 % (572762)Success in time 0.443 s
% 3.81/1.50 % Vampire exiting
%------------------------------------------------------------------------------