%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM841+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 : 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 12:25:52 PM UTC 2026
% Result : Theorem 4.93s 1.17s
% Output : Refutation 4.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 27 unt; 0 def)
% Number of atoms : 39 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 4 |; 0 &)
% ( 1 <=>; 1 =>; 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; 4 con; 0-2 aty)
% Number of variables : 46 ( 45 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(214, 352, 0)') ).
fof(f2,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,axiom,
greater(vd347,vd348),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(211), 349, 0)') ).
fof(f8,axiom,
greater(vd344,vd345),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(211), 346, 0)') ).
fof(f14,axiom,
! [X0,X1,X2] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f20,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,axiom,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f25,axiom,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f28,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(flattening,[],[f2]) ).
fof(f34,plain,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f39,plain,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(cnf_transformation,[],[f28]) ).
fof(f44,plain,
greater(vd347,vd348),
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
greater(vd344,vd345),
inference(cnf_transformation,[],[f8]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| greater(vplus(X0,X2),vplus(X1,X2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f57,plain,
! [X2,X0,X1] :
( vplus(X0,X2) != X1
| greater(X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f58,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f60,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f63,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f25]) ).
fof(f72,plain,
! [X2,X0] : greater(vplus(X0,X2),X0),
inference(equality_resolution,[],[f57]) ).
fof(f75,plain,
~ greater(vplus(vd344,vd347),vplus(vd348,vd345)),
inference(forward_demodulation,[],[f39,f60]) ).
fof(f96,plain,
! [X0,X1] : greater(vplus(X0,X1),X1),
inference(superposition,[],[f72,f60]) ).
fof(f270,plain,
vd344 = vplus(vd345,sK0(vd345,vd344)),
inference(resolution,[],[f58,f45]) ).
fof(f271,plain,
vd347 = vplus(vd348,sK0(vd348,vd347)),
inference(resolution,[],[f58,f44]) ).
fof(f1125,plain,
! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),X2),
inference(superposition,[],[f96,f63]) ).
fof(f1293,plain,
! [X2,X0,X1] : greater(vplus(X2,vplus(X0,X1)),X0),
inference(superposition,[],[f1125,f60]) ).
fof(f1401,plain,
! [X0] : greater(vplus(X0,vd347),vd348),
inference(superposition,[],[f1293,f271]) ).
fof(f1428,plain,
! [X0,X1] : greater(vplus(vplus(X0,vd347),X1),vplus(vd348,X1)),
inference(resolution,[],[f1401,f51]) ).
fof(f1434,plain,
! [X0,X1] : greater(vplus(X0,vplus(vd347,X1)),vplus(vd348,X1)),
inference(forward_demodulation,[],[f1428,f63]) ).
fof(f2996,plain,
! [X0,X1] : greater(vplus(vplus(vd347,X0),X1),vplus(vd348,X0)),
inference(superposition,[],[f1434,f60]) ).
fof(f3004,plain,
! [X0,X1] : greater(vplus(vd347,vplus(X0,X1)),vplus(vd348,X0)),
inference(forward_demodulation,[],[f2996,f63]) ).
fof(f3224,plain,
greater(vplus(vd347,vd344),vplus(vd348,vd345)),
inference(superposition,[],[f3004,f270]) ).
fof(f3572,plain,
greater(vplus(vd344,vd347),vplus(vd348,vd345)),
inference(forward_demodulation,[],[f3224,f60]) ).
fof(f3611,plain,
$false,
inference(forward_subsumption_resolution,[],[f3572,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM841+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n018.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 21:31:40 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 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
% 4.93/1.17 % (2745312)Will run a generic schedule for satisfiability detection.
% 4.93/1.17 % (2745323)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4164169115:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.93/1.17 % (2745318)% WARNING: option uhcvi not known.
% 4.93/1.17 % (2745317)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2556836168_2999 on theBenchmark for (2999ds/0Mi)
% 4.93/1.17 % (2745320)dis+10_1_sil=32000:sp=arity:random_seed=2118173308:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.93/1.17 % (2745318)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=753231397:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.93/1.17 % TRYING [1]
% 4.93/1.17 % TRYING [2]
% 4.93/1.17 % TRYING [3]
% 4.93/1.17 % (2745322)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=336703160:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.93/1.17 % (2745319)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3839434454:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.93/1.17 % (2745321)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=402229378:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.93/1.17 % TRYING [4]
% 4.93/1.17 % TRYING [5]
% 4.93/1.17 % TRYING [6]
% 4.93/1.17 % (2745323)Instruction limit reached!
% 4.93/1.17 % (2745323)------------------------------
% 4.93/1.17 % (2745323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.93/1.17 % (2745323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.17 % (2745323)CaDiCaL version: 2.1.3
% 4.93/1.17 % (2745323)Termination reason: Instruction limit
% 4.93/1.17 % (2745323)Termination phase: Saturation
% 4.93/1.17 % (2745323)Time elapsed: 0.094 s
% 4.93/1.17 % (2745323)Peak memory usage: 13 MB
% 4.93/1.17 % (2745323)Instructions burned: 160 (million)
% 4.93/1.17 % (2745320)Instruction limit reached!
% 4.93/1.17 % (2745320)------------------------------
% 4.93/1.17 % (2745320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.93/1.17 % (2745320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.17 % (2745320)CaDiCaL version: 2.1.3
% 4.93/1.17 % (2745320)Termination reason: Instruction limit
% 4.93/1.17 % (2745320)Termination phase: Saturation
% 4.93/1.17 % (2745320)Time elapsed: 0.085 s
% 4.93/1.17 % (2745320)Peak memory usage: 12 MB
% 4.93/1.17 % (2745320)Instructions burned: 103 (million)
% 4.93/1.17 % (2745331)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3931443366:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.93/1.17 % TRYING [1]
% 4.93/1.17 % TRYING [2]
% 4.93/1.17 % TRYING [3]
% 4.93/1.17 % TRYING [4]
% 4.93/1.17 % (2745332)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2064838080:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.93/1.17 % TRYING [5]
% 4.93/1.17 % (2745321)Instruction limit reached!
% 4.93/1.17 % (2745321)------------------------------
% 4.93/1.17 % (2745321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.93/1.17 % (2745321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.17 % (2745321)CaDiCaL version: 2.1.3
% 4.93/1.17 % (2745321)Termination reason: Instruction limit
% 4.93/1.17 % (2745321)Termination phase: Saturation
% 4.93/1.17 % (2745321)Time elapsed: 0.124 s
% 4.93/1.17 % (2745321)Peak memory usage: 13 MB
% 4.93/1.17 % (2745321)Instructions burned: 117 (million)
% 4.93/1.17 % TRYING [7]
% 4.93/1.17 % (2745322)Instruction limit reached!
% 4.93/1.17 % (2745322)------------------------------
% 4.93/1.17 % (2745322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.93/1.17 % (2745322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.17 % (2745322)CaDiCaL version: 2.1.3
% 4.93/1.17 % (2745322)Termination reason: Instruction limit
% 4.93/1.17 % (2745322)Termination phase: Saturation
% 4.93/1.17 % (2745322)Time elapsed: 0.134 s
% 4.93/1.17 % (2745322)Peak memory usage: 12 MB
% 4.93/1.17 % (2745322)Instructions burned: 131 (million)
% 4.93/1.17 % TRYING [6]
% 4.93/1.17 % (2745339)ott-21_1_sil=16000:fs=off:random_seed=1438328096:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.93/1.17 % (2745338)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1441049158:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.93/1.17 % TRYING [7]
% 4.93/1.17 % (2745332)Instruction limit reached!
% 4.93/1.17 % (2745332)------------------------------
% 4.93/1.17 % (2745332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.93/1.17 % (2745332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.17 % (2745332)CaDiCaL version: 2.1.3
% 4.93/1.17 % (2745332)Termination reason: Instruction limit
% 4.93/1.17 % (2745332)Termination phase: Saturation
% 4.93/1.17 % (2745332)Time elapsed: 0.146 s
% 4.93/1.17 % (2745332)Peak memory usage: 13 MB
% 4.93/1.17 % (2745332)Instructions burned: 131 (million)
% 4.93/1.17 % (2745339)Instruction limit reached!
% 4.93/1.17 % (2745339)------------------------------
% 4.93/1.17 % (2745339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.93/1.17 % (2745339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.17 % (2745339)CaDiCaL version: 2.1.3
% 4.93/1.17 % (2745339)Termination reason: Instruction limit
% 4.93/1.17 % (2745339)Termination phase: Saturation
% 4.93/1.17 % (2745339)Time elapsed: 0.123 s
% 4.93/1.17 % (2745339)Peak memory usage: 12 MB
% 4.93/1.17 % (2745339)Instructions burned: 180 (million)
% 4.93/1.17 % TRYING [8]
% 4.93/1.17 % (2745342)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=611959829:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.93/1.17 % TRYING [8]
% 4.93/1.17 % (2745343)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1340586808:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 4.93/1.17 % TRYING [1]
% 4.93/1.17 % TRYING [2]
% 4.93/1.17 % TRYING [3]
% 4.93/1.17 % (2745331)Instruction limit reached!
% 4.93/1.17 % (2745331)------------------------------
% 4.93/1.17 % (2745331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.93/1.17 % (2745331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.17 % (2745331)CaDiCaL version: 2.1.3
% 4.93/1.17 % (2745331)Termination reason: Instruction limit
% 4.93/1.17 % (2745331)Termination phase: Finite model building constraint generation
% 4.93/1.17 % (2745331)Time elapsed: 0.220 s
% 4.93/1.17 % (2745331)Peak memory usage: 26 MB
% 4.93/1.17 % (2745331)Instructions burned: 717 (million)
% 4.93/1.17 % TRYING [4]
% 4.93/1.17 % (2745346)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3606602208:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 4.93/1.17 % TRYING [5]
% 4.93/1.17 % TRYING [6]
% 4.93/1.17 % (2745338)Instruction limit reached!
% 4.93/1.17 % (2745338)------------------------------
% 4.93/1.17 % (2745338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.93/1.17 % (2745338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.17 % (2745338)CaDiCaL version: 2.1.3
% 4.93/1.17 % (2745338)Termination reason: Instruction limit
% 4.93/1.17 % (2745338)Termination phase: Saturation
% 4.93/1.17 % (2745338)Time elapsed: 0.408 s
% 4.93/1.17 % (2745338)Peak memory usage: 16 MB
% 4.93/1.17 % (2745338)Instructions burned: 684 (million)
% 4.93/1.17 % (2745348)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1119313629:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 4.93/1.17 % (2745342)Instruction limit reached!
% 4.93/1.17 % (2745342)------------------------------
% 4.93/1.17 % (2745342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.93/1.17 % (2745342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.17 % (2745342)CaDiCaL version: 2.1.3
% 4.93/1.17 % (2745342)Termination reason: Instruction limit
% 4.93/1.17 % (2745342)Termination phase: Saturation
% 4.93/1.17 % (2745342)Time elapsed: 0.298 s
% 4.93/1.17 % (2745342)Peak memory usage: 14 MB
% 4.93/1.17 % (2745342)Instructions burned: 478 (million)
% 4.93/1.17 % TRYING [7]
% 4.93/1.17 % (2745350)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3236838592:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 4.93/1.17 % TRYING [14]
% 4.93/1.17 % TRYING [9]
% 4.93/1.17 % (2745350) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2745312-2745350"...
% 4.93/1.17 % (2745350)...printing done.
% 4.93/1.17 % (2745350)Refutation found. Thanks to Tanya!
% 4.93/1.17 % SZS status Theorem for theBenchmark
% 4.93/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 4.93/1.17 % (2745350)------------------------------
% 4.93/1.17 % (2745350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.93/1.17 % (2745350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.17 % (2745350)CaDiCaL version: 2.1.3
% 4.93/1.17 % (2745350)Termination reason: Refutation
% 4.93/1.17 % (2745350)Time elapsed: 0.093 s
% 4.93/1.17 % (2745350)Peak memory usage: 14 MB
% 4.93/1.17 % (2745350)Instructions burned: 141 (million)
% 4.93/1.17 % (2745312)Success in time 0.747 s
% 4.93/1.17 % Vampire exiting
%------------------------------------------------------------------------------