%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM967_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:17:42 PM UTC 2026
% Result : Theorem 3.32s 1.23s
% Output : Refutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 3 con; 0-4 aty)
% Number of variables : 11 ( 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
archimedean_ceiling:
!>[X0: $tType] : ( X0 > int ) ).
tff(func_def_1,type,
archim2085082626_floor:
!>[X0: $tType] : ( X0 > int ) ).
tff(func_def_2,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_5,type,
fFalse: bool ).
tff(func_def_6,type,
fTrue: bool ).
tff(func_def_7,type,
t: int ).
tff(func_def_8,type,
sK2:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_9,type,
sK3:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_10,type,
sK4:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_11,type,
sK5:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_12,type,
sK6:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_13,type,
sK7:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_14,type,
sK8:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_15,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_16,type,
sK10:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_17,type,
sK11:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_18,type,
sK12:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_19,type,
sK13:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_20,type,
sK14:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_21,type,
sK15:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
dense_linorder:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
archim1727834104eiling:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(pred_def_15,type,
sP0: ( bool * int * bool ) > $o ).
tff(pred_def_16,type,
sP1: ( int * bool * bool ) > $o ).
tff(f1,axiom,
~ ord_less_eq(int,one_one(int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096_126_A1_A_060_061_At_096) ).
tff(f43,axiom,
! [X0: $tType] :
( linorder(X0)
=> ! [X1: X0,X2: X0] :
( ~ ord_less_eq(X0,X2,X1)
=> ord_less(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_not__leE) ).
tff(f106,axiom,
linorder(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Olinorder) ).
tff(f117,conjecture,
ord_less(int,t,one_one(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f118,negated_conjecture,
~ ord_less(int,t,one_one(int)),
inference(negated_conjecture,[status(cth)],[f117]) ).
tff(f119,plain,
~ ord_less(int,t,one_one(int)),
inference(flattening,[],[f118]) ).
tff(f184,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ord_less(X0,X1,X2)
| ord_less_eq(X0,X2,X1) )
| ~ linorder(X0) ),
inference(ennf_transformation,[],[f43]) ).
tff(f289,plain,
~ ord_less_eq(int,one_one(int),t),
inference(cnf_transformation,[],[f1]) ).
tff(f333,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ~ linorder(X0)
| ord_less_eq(X0,X2,X1)
| ord_less(X0,X1,X2) ),
inference(cnf_transformation,[],[f184]) ).
tff(f414,plain,
linorder(int),
inference(cnf_transformation,[],[f106]) ).
tff(f425,plain,
~ ord_less(int,t,one_one(int)),
inference(cnf_transformation,[],[f119]) ).
tff(f463,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X0,X1)
| ord_less(int,X1,X0) ),
inference(resolution,[],[f333,f414]) ).
tff(f465,plain,
ord_less(int,t,one_one(int)),
inference(resolution,[],[f463,f289]) ).
tff(f467,plain,
$false,
inference(forward_subsumption_resolution,[],[f465,f425]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM967_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:48:47 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.32/1.23 % (1339545)Detected formulas, will run a generic FOF schedule.
% 3.32/1.23 % (1339556)dis-21_1_sil=8000:lcm=predicate:random_seed=3117194520: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)
% 3.32/1.23 % (1339554)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1845987409:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.32/1.23 % (1339553)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3078189645:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.32/1.23 % (1339551)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=456498954:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.32/1.23 % (1339552)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=3547613778:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.32/1.23 % (1339555)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3526413915:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.32/1.23 % (1339550)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=4248495145:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.32/1.23 % (1339553)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.32/1.23 % (1339553)Refutation not found, incomplete strategy
% 3.32/1.23 % (1339553)------------------------------
% 3.32/1.23 % (1339553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.23 % (1339553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.23 % (1339553)CaDiCaL version: 2.1.3
% 3.32/1.23 % (1339553)Termination reason: Refutation not found, incomplete strategy
% 3.32/1.23 % (1339553)Time elapsed: 0.001 s
% 3.32/1.23 % (1339553)Peak memory usage: 87 MB
% 3.32/1.23 % (1339554)Refutation not found, incomplete strategy
% 3.32/1.23 % (1339554)------------------------------
% 3.32/1.23 % (1339554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.23 % (1339554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.23 % (1339554)CaDiCaL version: 2.1.3
% 3.32/1.23 % (1339554)Termination reason: Refutation not found, incomplete strategy
% 3.32/1.23 % (1339554)Time elapsed: 0.001 s
% 3.32/1.23 % (1339554)Peak memory usage: 88 MB
% 3.32/1.23 % (1339552)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.32/1.23 % (1339555)First to succeed.
% 3.32/1.23 % (1339555)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1339545"
% 3.32/1.23 % (1339556)Instruction limit reached!
% 3.32/1.23 % (1339556)------------------------------
% 3.32/1.23 % (1339556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.23 % (1339556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.23 % (1339556)CaDiCaL version: 2.1.3
% 3.32/1.23 % (1339556)Termination reason: Instruction limit
% 3.32/1.23 % (1339556)Termination phase: Saturation
% 3.32/1.23 % (1339556)Time elapsed: 0.058 s
% 3.32/1.23 % (1339556)Peak memory usage: 89 MB
% 3.32/1.23 % (1339556)Instructions burned: 131 (million)
% 3.32/1.23 % (1339564)lrs+10_1_sil=8000:sp=occurrence:random_seed=3536966747:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.32/1.23 % (1339564)Refutation not found, incomplete strategy
% 3.32/1.23 % (1339564)------------------------------
% 3.32/1.23 % (1339564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.23 % (1339564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.23 % (1339564)CaDiCaL version: 2.1.3
% 3.32/1.23 % (1339564)Termination reason: Refutation not found, incomplete strategy
% 3.32/1.23 % (1339564)Time elapsed: 0.001 s
% 3.32/1.23 % (1339564)Peak memory usage: 88 MB
% 3.32/1.23 % (1339555)Refutation found. Thanks to Tanya!
% 3.32/1.23 % SZS status Theorem for theBenchmark
% 3.32/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.32/1.23 % (1339555)------------------------------
% 3.32/1.23 % (1339555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.23 % (1339555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.23 % (1339555)CaDiCaL version: 2.1.3
% 3.32/1.23 % (1339555)Termination reason: Refutation
% 3.32/1.23 % (1339555)Time elapsed: 0.006 s
% 3.32/1.23 % (1339555)Peak memory usage: 89 MB
% 3.32/1.23 % (1339555)Instructions burned: 8 (million)
% 3.32/1.23 % (1339555)------------------------------
% 3.32/1.23 % (1339555)------------------------------
% 3.32/1.23 % (1339545)Success in time 0.412 s
% 3.32/1.23 % Vampire exiting
%------------------------------------------------------------------------------