%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM852+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 : n015.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 1.12s 0.59s
% Output : Refutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 18 unt; 0 def)
% Number of atoms : 22 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 1 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 23 ( 22 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f12,axiom,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f28,axiom,
! [X0,X1] : greater(vplus(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof(f43,axiom,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : X1 = vplus(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f60,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(flattening,[],[f2]) ).
fof(f95,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(cnf_transformation,[],[f60]) ).
fof(f96,plain,
greater(vd481,vd480),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f11]) ).
fof(f105,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f12]) ).
fof(f123,plain,
! [X0,X1] : greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f28]) ).
fof(f145,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK1(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f187,plain,
~ greater(vmul(vd481,vd469),vmul(vd469,vd480)),
inference(superposition,[],[f95,f105]) ).
fof(f188,plain,
~ greater(vmul(vd469,vd481),vmul(vd469,vd480)),
inference(forward_demodulation,[],[f187,f105]) ).
fof(f203,plain,
vd481 = vplus(vd480,sK1(vd480,vd481)),
inference(resolution,[],[f145,f96]) ).
fof(f709,plain,
! [X2,X0,X1] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)),
inference(superposition,[],[f123,f104]) ).
fof(f2164,plain,
! [X0] : greater(vmul(X0,vd481),vmul(X0,vd480)),
inference(superposition,[],[f709,f203]) ).
fof(f2466,plain,
$false,
inference(resolution,[],[f2164,f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM852+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 21:34:01 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 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
% 1.12/0.59 % (2025235)Will run a generic schedule for satisfiability detection.
% 1.12/0.59 % (2025240)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2281439385_2999 on theBenchmark for (2999ds/0Mi)
% 1.12/0.59 % TRYING [1]
% 1.12/0.59 % TRYING [2]
% 1.12/0.59 % (2025241)% WARNING: option uhcvi not known.
% 1.12/0.59 % TRYING [3]
% 1.12/0.59 % (2025241)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3826737874:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.12/0.59 % (2025244)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=957392812:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.12/0.59 % (2025242)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=526183653:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.12/0.59 % (2025243)dis+10_1_sil=32000:sp=arity:random_seed=1199616121:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.12/0.59 % (2025245)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3691276570:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.12/0.59 % (2025246)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3961754401:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.12/0.59 % TRYING [4]
% 1.12/0.59 % TRYING [5]
% 1.12/0.59 % TRYING [6]
% 1.12/0.59 % (2025243)Instruction limit reached!
% 1.12/0.59 % (2025243)------------------------------
% 1.12/0.59 % (2025243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.59 % (2025243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.59 % (2025243)CaDiCaL version: 2.1.3
% 1.12/0.59 % (2025243)Termination reason: Instruction limit
% 1.12/0.59 % (2025243)Termination phase: Saturation
% 1.12/0.59 % (2025243)Time elapsed: 0.062 s
% 1.12/0.59 % (2025243)Peak memory usage: 12 MB
% 1.12/0.59 % (2025243)Instructions burned: 103 (million)
% 1.12/0.59 % (2025244)Instruction limit reached!
% 1.12/0.59 % (2025244)------------------------------
% 1.12/0.59 % (2025244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.59 % (2025244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.59 % (2025244)CaDiCaL version: 2.1.3
% 1.12/0.59 % (2025244)Termination reason: Instruction limit
% 1.12/0.59 % (2025244)Termination phase: Saturation
% 1.12/0.59 % (2025244)Time elapsed: 0.075 s
% 1.12/0.59 % (2025244)Peak memory usage: 12 MB
% 1.12/0.59 % (2025244)Instructions burned: 116 (million)
% 1.12/0.59 % (2025254)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3059001968:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.12/0.59 % (2025245)Instruction limit reached!
% 1.12/0.59 % (2025245)------------------------------
% 1.12/0.59 % (2025245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.59 % (2025245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.59 % (2025245)CaDiCaL version: 2.1.3
% 1.12/0.59 % (2025245)Termination reason: Instruction limit
% 1.12/0.59 % (2025245)Termination phase: Saturation
% 1.12/0.59 % (2025245)Time elapsed: 0.085 s
% 1.12/0.59 % (2025245)Peak memory usage: 12 MB
% 1.12/0.59 % (2025245)Instructions burned: 132 (million)
% 1.12/0.59 % TRYING [1]
% 1.12/0.59 % TRYING [2]
% 1.12/0.59 % TRYING [3]
% 1.12/0.59 % (2025255)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1023810368:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.12/0.59 % TRYING [4]
% 1.12/0.59 % (2025257)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=34044345:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.12/0.59 % (2025246)Instruction limit reached!
% 1.12/0.59 % (2025246)------------------------------
% 1.12/0.59 % (2025246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.59 % (2025246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.59 % (2025246)CaDiCaL version: 2.1.3
% 1.12/0.59 % (2025246)Termination reason: Instruction limit
% 1.12/0.59 % (2025246)Termination phase: Saturation
% 1.12/0.59 % (2025246)Time elapsed: 0.106 s
% 1.12/0.59 % (2025246)Peak memory usage: 13 MB
% 1.12/0.59 % (2025246)Instructions burned: 161 (million)
% 1.12/0.59 % TRYING [5]
% 1.12/0.59 % (2025260)ott-21_1_sil=16000:fs=off:random_seed=865171037:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.12/0.59 % TRYING [7]
% 1.12/0.59 % (2025257) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2025235-2025257"...
% 1.12/0.59 % (2025257)...printing done.
% 1.12/0.59 % (2025257)Refutation found. Thanks to Tanya!
% 1.12/0.59 % SZS status Theorem for theBenchmark
% 1.12/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.12/0.59 % (2025257)------------------------------
% 1.12/0.59 % (2025257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.59 % (2025257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.59 % (2025257)CaDiCaL version: 2.1.3
% 1.12/0.59 % (2025257)Termination reason: Refutation
% 1.12/0.59 % (2025257)Time elapsed: 0.053 s
% 1.12/0.59 % (2025257)Peak memory usage: 13 MB
% 1.12/0.59 % (2025257)Instructions burned: 76 (million)
% 1.12/0.59 % (2025235)Success in time 0.195 s
% 1.12/0.59 % Vampire exiting
%------------------------------------------------------------------------------