%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM680_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:25:19 PM UTC 2026
% Result : Theorem 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 61 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 39 ~; 18 |; 4 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?; 33 :)
% 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,
pl: ( nat * nat ) > nat ).
tff(pred_def_1,type,
more: ( nat * nat ) > $o ).
tff(pred_def_2,type,
less: ( nat * nat ) > $o ).
tff(f1,axiom,
more(pl(x,z),pl(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m) ).
tff(f3,axiom,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ~ ~ ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10b) ).
tff(f5,axiom,
! [X0: nat,X1: nat,X2: nat] :
( less(X0,X1)
=> less(pl(X0,X2),pl(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19c) ).
tff(f6,axiom,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
=> ( ~ more(X0,X1)
=> less(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10a) ).
tff(f7,conjecture,
more(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz20a) ).
tff(f8,negated_conjecture,
~ more(x,y),
inference(negated_conjecture,[status(cth)],[f7]) ).
tff(f11,plain,
! [X0: nat,X1: nat] :
~ ( ( ( X0 = X1 )
=> ~ more(X0,X1) )
=> ( ( more(X0,X1)
=> ~ less(X0,X1) )
=> ~ ( less(X0,X1)
=> ( X0 != X1 ) ) ) ),
inference(flattening,[],[f3]) ).
tff(f12,plain,
~ more(x,y),
inference(flattening,[],[f8]) ).
tff(f14,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(ennf_transformation,[],[f11]) ).
tff(f15,plain,
! [X0: nat,X1: nat] :
( ( ( X0 != X1 )
| ~ less(X0,X1) )
& ( ~ less(X0,X1)
| ~ more(X0,X1) )
& ( ~ more(X0,X1)
| ( X0 != X1 ) ) ),
inference(flattening,[],[f14]) ).
tff(f17,plain,
! [X0: nat,X1: nat,X2: nat] :
( less(pl(X0,X2),pl(X1,X2))
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
tff(f18,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f19,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(flattening,[],[f18]) ).
tff(f20,plain,
more(pl(x,z),pl(y,z)),
inference(cnf_transformation,[],[f1]) ).
tff(f22,plain,
! [X0: nat,X1: nat] :
( ~ less(X0,X1)
| ~ more(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tff(f23,plain,
! [X0: nat,X1: nat] :
( ( X0 != X1 )
| ~ more(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
tff(f25,plain,
! [X2: nat,X0: nat,X1: nat] :
( less(pl(X0,X2),pl(X1,X2))
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f26,plain,
! [X0: nat,X1: nat] :
( less(X0,X1)
| more(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f27,plain,
~ more(x,y),
inference(cnf_transformation,[],[f12]) ).
tff(f28,plain,
! [X1: nat] : ~ more(X1,X1),
inference(equality_resolution,[],[f23]) ).
tff(f34,plain,
! [X2: nat,X0: nat,X1: nat] :
( ~ more(pl(X0,X2),pl(X1,X2))
| ~ less(X0,X1) ),
inference(resolution,[],[f25,f22]) ).
tff(f35,plain,
~ less(x,y),
inference(resolution,[],[f34,f20]) ).
tff(f36,plain,
( more(x,y)
| ( x = y ) ),
inference(resolution,[],[f35,f26]) ).
tff(f37,plain,
x = y,
inference(forward_subsumption_resolution,[],[f36,f27]) ).
tff(f39,plain,
more(pl(x,z),pl(x,z)),
inference(superposition,[],[f20,f37]) ).
tff(f41,plain,
$false,
inference(forward_subsumption_resolution,[],[f39,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM680_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 21:07:21 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.15/0.46 % (2722099)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (2722104)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1296020421_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.46 % Detected minimum model sizes of [1,1]
% 0.15/0.46 % Detected maximum model sizes of [max,2]
% 0.15/0.46 % TRYING [1,1]
% 0.15/0.46 % TRYING [1,2]
% 0.15/0.46 % TRYING [2,2]
% 0.15/0.46 % TRYING [3,2]
% 0.15/0.46 % TRYING [4,2]
% 0.15/0.46 % TRYING [5,2]
% 0.15/0.46 % (2722105)% WARNING: option uhcvi not known.
% 0.15/0.46 % TRYING [6,2]
% 0.15/0.46 % TRYING [7,2]
% 0.15/0.46 % TRYING [8,2]
% 0.15/0.46 % (2722105)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1871891358:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.46 % (2722109)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2701788442:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.46 % TRYING [9,2]
% 0.15/0.46 % (2722106)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=168427894:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.46 % (2722107)dis+10_1_sil=32000:sp=arity:random_seed=1173831474:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.46 % (2722108)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3153833132:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.46 % (2722110)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2896079252:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.46 % (2722105) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2722099-2722105"...
% 0.15/0.46 % (2722108) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2722099-2722108"...
% 0.15/0.46 % (2722107) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2722099-2722107"...
% 0.15/0.46 % TRYING [10,2]
% 0.15/0.46 % (2722105)...printing done.
% 0.15/0.46 % (2722110) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2722099-2722110"...
% 0.15/0.46 % (2722108)...printing done.
% 0.15/0.46 % (2722107)...printing done.
% 0.15/0.46 % (2722105)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Theorem for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (2722105)------------------------------
% 0.15/0.46 % (2722105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (2722105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (2722105)CaDiCaL version: 2.1.3
% 0.15/0.46 % (2722105)Termination reason: Refutation
% 0.15/0.46 % (2722105)Time elapsed: 0.002 s
% 0.15/0.46 % (2722105)Peak memory usage: 12 MB
% 0.15/0.46 % (2722105)Instructions burned: 1 (million)
% 0.15/0.46 % (2722099)Success in time 0.035 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------