%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW495_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 : n008.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 01:30:41 PM UTC 2026
% Result : Theorem 3.77s 1.21s
% Output : Refutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-4 aty)
% Number of variables : 21 ( 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
real: $tType ).
tff(type_def_7,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_1,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_3,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_4,type,
fFalse: bool ).
tff(func_def_5,type,
fTrue: bool ).
tff(func_def_6,type,
l: real ).
tff(func_def_7,type,
p: fun(real,bool) ).
tff(func_def_8,type,
y1: real ).
tff(func_def_9,type,
x: real ).
tff(func_def_10,type,
y: real ).
tff(func_def_11,type,
z: real ).
tff(func_def_12,type,
sK0: real ).
tff(func_def_13,type,
sK1: real ).
tff(func_def_14,type,
sK2: real ).
tff(func_def_15,type,
sK3: real ).
tff(func_def_16,type,
sK4: real ).
tff(func_def_17,type,
sK5:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(pred_def_1,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
top:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
isLub:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_8,type,
isUb:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_9,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_12,type,
pp: bool > $o ).
tff(f3,axiom,
! [X0: real] :
( pp(aa(real,bool,p,X0))
=> ord_less_eq(real,X0,l) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_L_H) ).
tff(f4,axiom,
ord_less(real,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_z_I2_J) ).
tff(f19,axiom,
pp(aa(real,bool,p,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_z_I1_J) ).
tff(f43,axiom,
! [X0: $tType] :
( preorder(X0)
=> ! [X1: X0,X2: X0,X3: X0] :
( ord_less(X0,X3,X2)
=> ( ord_less_eq(X0,X2,X1)
=> ord_less(X0,X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_order__less__le__trans) ).
tff(f111,axiom,
preorder(real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef_Oreal___Orderings_Opreorder) ).
tff(f120,conjecture,
ord_less(real,y,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f121,negated_conjecture,
~ ord_less(real,y,l),
inference(negated_conjecture,[status(cth)],[f120]) ).
tff(f122,plain,
~ ord_less(real,y,l),
inference(flattening,[],[f121]) ).
tff(f126,plain,
! [X0: real] :
( ord_less_eq(real,X0,l)
| ~ pp(aa(real,bool,p,X0)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f160,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] :
( ord_less(X0,X3,X1)
| ~ ord_less_eq(X0,X2,X1)
| ~ ord_less(X0,X3,X2) )
| ~ preorder(X0) ),
inference(ennf_transformation,[],[f43]) ).
tff(f161,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: X0] :
( ord_less(X0,X3,X1)
| ~ ord_less_eq(X0,X2,X1)
| ~ ord_less(X0,X3,X2) )
| ~ preorder(X0) ),
inference(flattening,[],[f160]) ).
tff(f184,plain,
~ ord_less(real,y,l),
inference(cnf_transformation,[],[f122]) ).
tff(f186,plain,
! [X0: real] :
( ~ pp(aa(real,bool,p,X0))
| ord_less_eq(real,X0,l) ),
inference(cnf_transformation,[],[f126]) ).
tff(f187,plain,
ord_less(real,y,z),
inference(cnf_transformation,[],[f4]) ).
tff(f217,plain,
pp(aa(real,bool,p,z)),
inference(cnf_transformation,[],[f19]) ).
tff(f225,plain,
preorder(real),
inference(cnf_transformation,[],[f111]) ).
tff(f237,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0] :
( ord_less(X0,X3,X1)
| ~ ord_less_eq(X0,X2,X1)
| ~ ord_less(X0,X3,X2)
| ~ preorder(X0) ),
inference(cnf_transformation,[],[f161]) ).
tff(f253,plain,
ord_less_eq(real,z,l),
inference(resolution,[],[f186,f217]) ).
tff(f372,plain,
! [X0: real] :
( ~ ord_less_eq(real,X0,l)
| ~ ord_less(real,y,X0)
| ~ preorder(real) ),
inference(resolution,[],[f237,f184]) ).
tff(f398,plain,
! [X0: real] :
( ~ ord_less_eq(real,X0,l)
| ~ ord_less(real,y,X0) ),
inference(forward_subsumption_resolution,[],[f372,f225]) ).
tff(f453,plain,
~ ord_less(real,y,z),
inference(resolution,[],[f398,f253]) ).
tff(f460,plain,
$false,
inference(forward_subsumption_resolution,[],[f453,f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW495_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n008.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 14:15:39 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 3.77/1.21 % (2275181)Detected formulas, will run a generic FOF schedule.
% 3.77/1.21 % (2275189)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1568896884:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.77/1.21 % (2275189)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.77/1.21 % (2275189)Refutation not found, incomplete strategy
% 3.77/1.21 % (2275189)------------------------------
% 3.77/1.21 % (2275189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.21 % (2275189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.21 % (2275189)CaDiCaL version: 2.1.3
% 3.77/1.21 % (2275189)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.21 % (2275189)Time elapsed: 0.001 s
% 3.77/1.21 % (2275189)Peak memory usage: 87 MB
% 3.77/1.21 % (2275187)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=2551410635:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.77/1.21 % (2275186)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=2265406547:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.77/1.21 % (2275188)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=472826233:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.77/1.21 % (2275188)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.77/1.21 % (2275192)dis-21_1_sil=8000:lcm=predicate:random_seed=2954089335: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)
% 3.77/1.21 % (2275190)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3334404057:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.77/1.21 % (2275191)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=319737449:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.77/1.21 % (2275190)First to succeed.
% 3.77/1.21 % (2275190)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2275181"
% 3.77/1.21 % (2275191)Also succeeded, but the first one will report.
% 3.77/1.21 % (2275192)Instruction limit reached!
% 3.77/1.21 % (2275192)------------------------------
% 3.77/1.21 % (2275192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.21 % (2275192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.21 % (2275192)CaDiCaL version: 2.1.3
% 3.77/1.21 % (2275192)Termination reason: Instruction limit
% 3.77/1.21 % (2275192)Termination phase: Saturation
% 3.77/1.21 % (2275192)Time elapsed: 0.059 s
% 3.77/1.21 % (2275192)Peak memory usage: 89 MB
% 3.77/1.21 % (2275192)Instructions burned: 131 (million)
% 3.77/1.21 % (2275189)------------------------------
% 3.77/1.21 % (2275189)------------------------------
% 3.77/1.21 % (2275201)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3539639514:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.77/1.21 % (2275201)Refutation not found, incomplete strategy
% 3.77/1.21 % (2275201)------------------------------
% 3.77/1.21 % (2275201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.21 % (2275201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.21 % (2275201)CaDiCaL version: 2.1.3
% 3.77/1.21 % (2275201)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.21 % (2275201)Time elapsed: 0.001 s
% 3.77/1.21 % (2275201)Peak memory usage: 88 MB
% 3.77/1.21 % (2275201)Instructions burned: 1 (million)
% 3.77/1.21 % (2275200)lrs+10_1_sil=8000:sp=occurrence:random_seed=446423697:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.77/1.21 % (2275190)Refutation found. Thanks to Tanya!
% 3.77/1.21 % SZS status Theorem for theBenchmark
% 3.77/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.77/1.21 % (2275190)------------------------------
% 3.77/1.21 % (2275190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.21 % (2275190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.21 % (2275190)CaDiCaL version: 2.1.3
% 3.77/1.21 % (2275190)Termination reason: Refutation
% 3.77/1.21 % (2275190)Time elapsed: 0.006 s
% 3.77/1.21 % (2275190)Peak memory usage: 88 MB
% 3.77/1.21 % (2275190)Instructions burned: 8 (million)
% 3.77/1.21 % (2275190)------------------------------
% 3.77/1.21 % (2275190)------------------------------
% 3.77/1.21 % (2275181)Success in time 0.456 s
% 3.77/1.21 % Vampire exiting
%------------------------------------------------------------------------------