%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM739_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:16:45 PM UTC 2026
% Result : Theorem 3.44s 1.46s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 77 ( 41 ~; 26 |; 1 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 41 ( 41 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
frac: $tType ).
tff(func_def_0,type,
x: frac ).
tff(func_def_1,type,
y: frac ).
tff(func_def_2,type,
z: frac ).
tff(func_def_3,type,
u: frac ).
tff(pred_def_1,type,
moref: ( frac * frac ) > $o ).
tff(pred_def_2,type,
eq: ( frac * frac ) > $o ).
tff(f1,axiom,
( ~ moref(x,y)
=> eq(x,y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
tff(f2,axiom,
eq(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e) ).
tff(f3,axiom,
eq(y,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f) ).
tff(f5,axiom,
! [X0: frac,X1: frac,X2: frac] :
( eq(X0,X1)
=> ( eq(X1,X2)
=> eq(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz39) ).
tff(f6,axiom,
! [X0: frac,X1: frac] :
( eq(X0,X1)
=> eq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz38) ).
tff(f7,axiom,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X0,X1)
=> ( eq(X0,X2)
=> ( eq(X1,X3)
=> moref(X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz44) ).
tff(f8,conjecture,
( ~ moref(z,u)
=> eq(z,u) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz46) ).
tff(f9,negated_conjecture,
~ ( ~ moref(z,u)
=> eq(z,u) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
tff(f12,plain,
( ~ eq(z,u)
& ~ moref(z,u) ),
inference(ennf_transformation,[],[f9]) ).
tff(f13,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ moref(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
tff(f14,plain,
! [X0: frac,X1: frac,X2: frac,X3: frac] :
( moref(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ moref(X0,X1) ),
inference(flattening,[],[f13]) ).
tff(f15,plain,
! [X0: frac,X1: frac] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
tff(f16,plain,
! [X0: frac,X1: frac,X2: frac] :
( eq(X0,X2)
| ~ eq(X1,X2)
| ~ eq(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
tff(f17,plain,
! [X0: frac,X1: frac,X2: frac] :
( eq(X0,X2)
| ~ eq(X1,X2)
| ~ eq(X0,X1) ),
inference(flattening,[],[f16]) ).
tff(f18,plain,
( eq(x,y)
| moref(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f19,plain,
~ moref(z,u),
inference(cnf_transformation,[],[f12]) ).
tff(f20,plain,
~ eq(z,u),
inference(cnf_transformation,[],[f12]) ).
tff(f21,plain,
! [X2: frac,X3: frac,X0: frac,X1: frac] :
( moref(X2,X3)
| ~ eq(X1,X3)
| ~ eq(X0,X2)
| ~ moref(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tff(f22,plain,
! [X0: frac,X1: frac] :
( eq(X1,X0)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tff(f23,plain,
! [X2: frac,X0: frac,X1: frac] :
( eq(X0,X2)
| ~ eq(X1,X2)
| ~ eq(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f24,plain,
eq(x,z),
inference(cnf_transformation,[],[f2]) ).
tff(f25,plain,
eq(y,u),
inference(cnf_transformation,[],[f3]) ).
tff(f26,plain,
( eq(x,y)
| moref(x,y) ),
inference(cnf_transformation,[],[f18]) ).
tff(f29,plain,
! [X0: frac] :
( ~ eq(z,X0)
| ~ eq(X0,u) ),
inference(resolution,[],[f23,f20]) ).
tff(f31,plain,
! [X0: frac,X1: frac] :
( ~ eq(X1,z)
| ~ eq(X0,u)
| ~ moref(X1,X0) ),
inference(resolution,[],[f21,f19]) ).
tff(f33,plain,
! [X0: frac] :
( ~ eq(X0,u)
| ~ eq(X0,z) ),
inference(resolution,[],[f29,f22]) ).
tff(f36,plain,
! [X0: frac] :
( ~ eq(X0,u)
| ~ moref(x,X0) ),
inference(resolution,[],[f31,f24]) ).
tff(f39,plain,
~ eq(y,z),
inference(resolution,[],[f33,f25]) ).
tff(f42,plain,
~ moref(x,y),
inference(resolution,[],[f36,f25]) ).
tff(f45,plain,
! [X0: frac] :
( ~ eq(y,X0)
| ~ eq(X0,z) ),
inference(resolution,[],[f39,f23]) ).
tff(f65,plain,
! [X0: frac] :
( ~ eq(X0,z)
| ~ eq(X0,y) ),
inference(resolution,[],[f45,f22]) ).
tff(f72,plain,
~ eq(x,y),
inference(resolution,[],[f65,f24]) ).
tff(f79,plain,
moref(x,y),
inference(resolution,[],[f72,f26]) ).
tff(f82,plain,
$false,
inference(forward_subsumption_resolution,[],[f79,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM739_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 21:12:33 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.44/1.46 % (1784794)Detected formulas, will run a generic FOF schedule.
% 3.44/1.46 % (1784799)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=1064772839:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.44/1.46 % (1784802)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1789977411:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.44/1.46 % (1784803)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2109559602:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.44/1.46 % (1784800)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=1263330068:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.44/1.46 % (1784805)dis-21_1_sil=8000:lcm=predicate:random_seed=2172269337: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)
% 3.44/1.46 % (1784801)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=2134501760:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.44/1.46 % (1784802)Refutation not found, incomplete strategy
% 3.44/1.46 % (1784802)------------------------------
% 3.44/1.46 % (1784802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.46 % (1784802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.46 % (1784802)CaDiCaL version: 2.1.3
% 3.44/1.46 % (1784802)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.46 % (1784802)Time elapsed: 0.001 s
% 3.44/1.46 % (1784802)Peak memory usage: 88 MB
% 3.44/1.46 % (1784803)First to succeed.
% 3.44/1.46 % (1784803)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1784794"
% 3.44/1.46 % (1784805)Also succeeded, but the first one will report.
% 3.44/1.46 % (1784804)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1959092356:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.44/1.46 % (1784804)Also succeeded, but the first one will report.
% 3.44/1.46 % (1784802)------------------------------
% 3.44/1.46 % (1784802)------------------------------
% 3.44/1.46 % (1784803)Refutation found. Thanks to Tanya!
% 3.44/1.46 % SZS status Theorem for theBenchmark
% 3.44/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.46 % (1784803)------------------------------
% 3.44/1.46 % (1784803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.46 % (1784803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.46 % (1784803)CaDiCaL version: 2.1.3
% 3.44/1.46 % (1784803)Termination reason: Refutation
% 3.44/1.46 % (1784803)Time elapsed: 0.003 s
% 3.44/1.46 % (1784803)Peak memory usage: 88 MB
% 3.44/1.46 % (1784803)Instructions burned: 2 (million)
% 3.44/1.46 % (1784803)------------------------------
% 3.44/1.46 % (1784803)------------------------------
% 3.44/1.46 % (1784794)Success in time 0.407 s
% 3.44/1.46 % Vampire exiting
%------------------------------------------------------------------------------