%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM688_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:16:29 PM UTC 2026
% Result : Theorem 0.22s 1.71s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(func_def_2,type,
z: nat ).
tff(func_def_3,type,
u: nat ).
tff(func_def_4,type,
pl: ( nat * nat ) > nat ).
tff(pred_def_1,type,
more: ( nat * nat ) > $o ).
tff(f1,axiom,
more(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
tff(f2,axiom,
( ~ more(z,u)
=> ( z = u ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).
tff(f4,axiom,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ( X0 = X1 )
=> ( more(X2,X3)
=> more(pl(X2,X0),pl(X3,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19h) ).
tff(f5,axiom,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(X0,X1)
=> ( more(X2,X3)
=> more(pl(X0,X2),pl(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz21) ).
tff(f6,conjecture,
more(pl(x,z),pl(y,u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz22b) ).
tff(f7,negated_conjecture,
~ more(pl(x,z),pl(y,u)),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f10,plain,
~ more(pl(x,z),pl(y,u)),
inference(flattening,[],[f7]) ).
tff(f11,plain,
( ( z = u )
| more(z,u) ),
inference(ennf_transformation,[],[f2]) ).
tff(f12,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ~ more(X2,X3)
| ~ more(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
tff(f13,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ~ more(X2,X3)
| ~ more(X0,X1) ),
inference(flattening,[],[f12]) ).
tff(f14,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X2,X0),pl(X3,X1))
| ~ more(X2,X3)
| ( X0 != X1 ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f15,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X2,X0),pl(X3,X1))
| ~ more(X2,X3)
| ( X0 != X1 ) ),
inference(flattening,[],[f14]) ).
tff(f16,plain,
~ more(pl(x,z),pl(y,u)),
inference(cnf_transformation,[],[f10]) ).
tff(f17,plain,
more(x,y),
inference(cnf_transformation,[],[f1]) ).
tff(f18,plain,
( more(z,u)
| ( z = u ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f19,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ~ more(X2,X3)
| ~ more(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
tff(f20,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( more(pl(X2,X0),pl(X3,X1))
| ~ more(X2,X3)
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f15]) ).
tff(f21,plain,
! [X2: nat,X3: nat,X1: nat] :
( more(pl(X2,X1),pl(X3,X1))
| ~ more(X2,X3) ),
inference(equality_resolution,[],[f20]) ).
tff(f22,plain,
( ~ more(z,u)
| ~ more(x,y) ),
inference(resolution,[],[f16,f19]) ).
tff(f23,plain,
~ more(z,u),
inference(forward_subsumption_resolution,[],[f22,f17]) ).
tff(f24,plain,
z = u,
inference(resolution,[],[f23,f18]) ).
tff(f26,plain,
~ more(pl(x,z),pl(y,z)),
inference(superposition,[],[f16,f24]) ).
tff(f28,plain,
~ more(x,y),
inference(resolution,[],[f26,f21]) ).
tff(f29,plain,
$false,
inference(forward_subsumption_resolution,[],[f28,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM688_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n003.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 21:07:42 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 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
% 0.22/1.71 % (919393)Detected formulas, will run a generic FOF schedule.
% 0.22/1.71 % (919459)dis-21_1_sil=8000:lcm=predicate:random_seed=3571272961:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 0.22/1.71 % (919459)Refutation not found, incomplete strategy
% 0.22/1.71 % (919459)------------------------------
% 0.22/1.71 % (919459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.71 % (919459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.71 % (919459)CaDiCaL version: 2.1.3
% 0.22/1.71 % (919459)Termination reason: Refutation not found, incomplete strategy
% 0.22/1.71 % (919459)Time elapsed: 0.001 s
% 0.22/1.71 % (919459)Peak memory usage: 89 MB
% 0.22/1.71 % (919454)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=3819602972:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 0.22/1.71 % (919458)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2209378748:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 0.22/1.71 % (919456)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4071038132:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 0.22/1.71 % (919457)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4290594853:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 0.22/1.71 % (919456)First to succeed.
% 0.22/1.71 % (919453)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=3057385010:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 0.22/1.71 % (919455)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=975990633:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 0.22/1.71 % (919456)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-919393"
% 0.22/1.71 % (919458)Also succeeded, but the first one will report.
% 0.22/1.71 % (919457)Also succeeded, but the first one will report.
% 0.22/1.71 % (919459)------------------------------
% 0.22/1.71 % (919459)------------------------------
% 0.22/1.71 % (919488)lrs+10_1_sil=8000:sp=occurrence:random_seed=2469043421:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 0.22/1.71 % (919488)Also succeeded, but the first one will report.
% 0.22/1.71 % (919456)Refutation found. Thanks to Tanya!
% 0.22/1.71 % SZS status Theorem for theBenchmark
% 0.22/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/1.72 % (919456)------------------------------
% 0.22/1.72 % (919456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.72 % (919456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.72 % (919456)CaDiCaL version: 2.1.3
% 0.22/1.72 % (919456)Termination reason: Refutation
% 0.22/1.72 % (919456)Time elapsed: 0.002 s
% 0.22/1.72 % (919456)Peak memory usage: 89 MB
% 0.22/1.72 % (919456)Instructions burned: 1 (million)
% 0.22/1.72 % (919456)------------------------------
% 0.22/1.72 % (919456)------------------------------
% 0.22/1.72 % (919393)Success in time 0.6 s
% 0.22/1.72 % Vampire exiting
%------------------------------------------------------------------------------