%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM632+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:16:04 PM UTC 2026
% Result : Theorem 3.58s 1.46s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f112,axiom,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5321) ).
fof(f114,axiom,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5568) ).
fof(f115,conjecture,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f116,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f124,plain,
szDzizrdt0(xd) != sdtlpdtrp0(xc,xQ),
inference(flattening,[],[f116]) ).
fof(f533,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xd,xn),
inference(cnf_transformation,[],[f112]) ).
fof(f535,plain,
sdtlpdtrp0(xd,xn) = sdtlpdtrp0(xc,xQ),
inference(cnf_transformation,[],[f114]) ).
fof(f536,plain,
szDzizrdt0(xd) != sdtlpdtrp0(xc,xQ),
inference(cnf_transformation,[],[f124]) ).
fof(f609,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xc,xQ),
inference(forward_demodulation,[],[f535,f533]) ).
fof(f610,plain,
$false,
inference(forward_subsumption_resolution,[],[f609,f536]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM632+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 20:51:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.58/1.46 % (1147544)Detected formulas, will run a generic FOF schedule.
% 3.58/1.46 % (1147549)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=2591836043:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.58/1.46 % (1147552)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=553700267:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.58/1.46 % (1147550)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=256425918:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.58/1.46 % (1147551)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=1655595136:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.58/1.46 % (1147554)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=200012932:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.58/1.46 % (1147553)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1402272941:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.58/1.46 % (1147555)dis-21_1_sil=8000:lcm=predicate:random_seed=461939359: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)
% 3.58/1.46 % (1147554)First to succeed.
% 3.58/1.46 % (1147554)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1147544"
% 3.58/1.46 % (1147553)Also succeeded, but the first one will report.
% 3.58/1.46 % (1147552)Also succeeded, but the first one will report.
% 3.58/1.46 % (1147555)Instruction limit reached!
% 3.58/1.46 % (1147555)------------------------------
% 3.58/1.46 % (1147555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.46 % (1147555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.46 % (1147555)CaDiCaL version: 2.1.3
% 3.58/1.46 % (1147555)Termination reason: Instruction limit
% 3.58/1.46 % (1147555)Termination phase: Saturation
% 3.58/1.46 % (1147555)Time elapsed: 0.073 s
% 3.58/1.46 % (1147555)Peak memory usage: 92 MB
% 3.58/1.46 % (1147555)Instructions burned: 129 (million)
% 3.58/1.46 % (1147563)lrs+10_1_sil=8000:sp=occurrence:random_seed=3905625416:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.58/1.46 % (1147563)Also succeeded, but the first one will report.
% 3.58/1.46 % (1147554)Refutation found. Thanks to Tanya!
% 3.58/1.46 % SZS status Theorem for theBenchmark
% 3.58/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.46 % (1147554)------------------------------
% 3.58/1.46 % (1147554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.46 % (1147554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.46 % (1147554)CaDiCaL version: 2.1.3
% 3.58/1.46 % (1147554)Termination reason: Refutation
% 3.58/1.46 % (1147554)Time elapsed: 0.009 s
% 3.58/1.46 % (1147554)Peak memory usage: 89 MB
% 3.58/1.46 % (1147554)Instructions burned: 13 (million)
% 3.58/1.46 % (1147554)------------------------------
% 3.58/1.46 % (1147554)------------------------------
% 3.58/1.46 % (1147544)Success in time 0.429 s
% 3.58/1.46 % Vampire exiting
%------------------------------------------------------------------------------