%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM967_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:26:18 PM UTC 2026
% Result : Theorem 0.11s 0.43s
% Output : Refutation 0.11s
% 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 : 17 ( 10 ~; 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 : 9 ( 9 !; 0 ?; 9 :)
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_42_not__leE) ).
tff(f106,axiom,
linorder(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Olinorder) ).
tff(f117,conjecture,
ord_less(int,t,one_one(int)),
file('/export/starexec/sandbox2/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] :
( ord_less_eq(X0,X2,X1)
| ord_less(X0,X1,X2)
| ~ linorder(X0) ),
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(f482,plain,
( ord_less(int,t,one_one(int))
| ~ linorder(int) ),
inference(resolution,[],[f333,f289]) ).
tff(f486,plain,
~ linorder(int),
inference(forward_subsumption_resolution,[],[f482,f425]) ).
tff(f487,plain,
$false,
inference(forward_subsumption_resolution,[],[f486,f414]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 21:53:18 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43 % (3023601)Will run a generic schedule for satisfiability detection.
% 0.11/0.43 % (3023613)dis+10_1_sil=32000:sp=arity:random_seed=2244340471:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.43 % (3023613) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3023601-3023613"...
% 0.11/0.43 % (3023611)% WARNING: option uhcvi not known.
% 0.11/0.43 % (3023613)...printing done.
% 0.11/0.43 % (3023613)Refutation found. Thanks to Tanya!
% 0.11/0.43 % SZS status Theorem for theBenchmark
% 0.11/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.43 % (3023613)------------------------------
% 0.11/0.43 % (3023613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.43 % (3023613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.43 % (3023613)CaDiCaL version: 2.1.3
% 0.11/0.43 % (3023613)Termination reason: Refutation
% 0.11/0.43 % (3023613)Time elapsed: 0.003 s
% 0.11/0.43 % (3023613)Peak memory usage: 11 MB
% 0.11/0.43 % (3023613)Instructions burned: 7 (million)
% 0.11/0.43 % (3023601)Success in time 0.022 s
% 0.11/0.43 % Vampire exiting
%------------------------------------------------------------------------------