%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM024^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 : Wed Sep 30 07:46:21 AM UTC 2026
% Result : Theorem 0.92s 0.40s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 21 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 13 ~; 4 |; 2 &; 44 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 1 con; 0-4 aty)
% Number of variables : 29 ( 2 ^; 24 !; 3 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
cTM: $i > $i > $i ).
thf(func_def_1,type,
cTH: ( $i > $i ) > $i ).
thf(func_def_3,type,
sK0: $i > $i ).
thf(func_def_4,type,
sK1: $i > $i ).
thf(func_def_5,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_7,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
sK2: ( $i > $i ) > $i ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db5:
!>[X0: $tType] : X0 ).
thf(f1,conjecture,
( ! [X0: $i > $i] :
( ( cTM @ ( cTH @ X0 ) )
= X0 )
=> ! [X1: $i > $i] :
? [X2: $i] :
( ( cTM @ ( X1 @ X2 ) )
= ( cTM @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM9) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i > $i] :
( ( cTM @ ( cTH @ X0 ) )
= X0 )
=> ! [X1: $i > $i] :
? [X2: $i] :
( ( cTM @ ( X1 @ X2 ) )
= ( cTM @ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
( ! [X0: $i > $i] :
( ( cTM @ ( cTH @ X0 ) )
= X0 )
& ? [X1: $i > $i] :
! [X2: $i] :
( ( cTM @ ( X1 @ X2 ) )
!= ( cTM @ X2 ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
( ! [X0: $i > $i] :
( ( cTM @ ( cTH @ X0 ) )
= X0 )
& ! [X2: $i] :
( ( cTM @ X2 )
!= ( cTM @ ( sK0 @ X2 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f3]) ).
thf(f5,plain,
! [X2: $i] :
( ( cTM @ X2 )
!= ( cTM @ ( sK0 @ X2 ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f6,plain,
! [X0: $i > $i] :
( ( cTM @ ( cTH @ X0 ) )
= X0 ),
inference(cnf_transformation,[],[f4]) ).
thf(f7,plain,
! [X0: $i > $i,X1: $i] :
( ( cTM @ ( cTH @ X0 ) @ X1 )
= ( X0 @ X1 ) ),
inference(argument_congruence,[],[f6]) ).
thf(f10,plain,
! [X0: $i] :
( ( sK0 @ X0 )
!= X0 ),
inference(equality_resolution,[],[f5]) ).
thf(f12,plain,
! [X2: $i > $i,X3: $i,X0: $i > $i,X1: $i] :
( ( ( X2 @ X3 )
= ( X0 @ X1 ) )
| ( X0 != X2 )
| ( X1 != X3 ) ),
inference(constrained_superposition,[],[f7,f7]) ).
thf(f17,plain,
! [X0: $i] :
( ( cTM @ ( cTH @ sK0 ) @ X0 )
!= X0 ),
inference(unit_resulting_resolution,[],[f12,f6,f10]) ).
thf(f68,plain,
! [X0: $i,X1: $i] :
( ( X0 != X1 )
| ( ( ^ [Y0: $i] :
( sK0
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X0 )
!= X1 ) ),
inference(constrained_superposition,[],[f17,f7]) ).
thf(f82,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
!= X1 )
| ( X0 != X1 ) ),
inference(beta-eta_normalization,[],[f68]) ).
thf(f86,plain,
! [X0: $i > $i,X1: $i] :
( ( sK0 @ ( cTM @ ( cTH @ X0 ) @ X1 ) )
!= ( X0 @ X1 ) ),
inference(unit_resulting_resolution,[],[f82,f7]) ).
thf(f181,plain,
$false,
inference(equality_resolution,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM024^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:41:37 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.33 % (663939)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.33 % (663945)lrs+10_16_si=on:nwc=1.5:random_seed=3817981546:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.33 % (663950)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.33 % (663950)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.33 % (663945)Instruction limit reached!
% 0.22/0.33 % (663945)------------------------------
% 0.22/0.33 % (663945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (663945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (663945)CaDiCaL version: 2.1.3
% 0.22/0.33 % (663945)Termination reason: Instruction limit
% 0.22/0.33 % (663945)Termination phase: Saturation
% 0.22/0.33 % (663945)Time elapsed: 0.006 s
% 0.22/0.33 % (663945)Peak memory usage: 12 MB
% 0.22/0.33 % (663945)Instructions burned: 19 (million)
% 0.22/0.33 % (663944)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=240836532:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.33 % (663948)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3473999150:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.33 % (663946)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2572360930:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.33 % (663947)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1022213431:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.33 % (663949)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2072156331:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.33 % (663950)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4005635138:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.33 % (663944)Refutation not found, incomplete strategy
% 0.22/0.33 % (663944)------------------------------
% 0.22/0.33 % (663944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (663944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (663944)CaDiCaL version: 2.1.3
% 0.22/0.33 % (663944)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.33 % (663944)Time elapsed: 0.001 s
% 0.22/0.33 % (663944)Peak memory usage: 12 MB
% 0.22/0.33 % (663948)Refutation not found, incomplete strategy
% 0.22/0.33 % (663948)------------------------------
% 0.22/0.33 % (663948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (663948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (663948)CaDiCaL version: 2.1.3
% 0.22/0.33 % (663948)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.33 % (663948)Time elapsed: 0.001 s
% 0.22/0.33 % (663948)Peak memory usage: 12 MB
% 0.22/0.33 % (663946)Refutation not found, incomplete strategy
% 0.22/0.33 % (663946)------------------------------
% 0.22/0.33 % (663946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (663946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (663946)CaDiCaL version: 2.1.3
% 0.22/0.33 % (663946)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.33 % (663946)Time elapsed: 0.001 s
% 0.22/0.33 % (663946)Peak memory usage: 12 MB
% 0.22/0.33 % (663944)------------------------------
% 0.22/0.33 % (663944)------------------------------
% 0.22/0.33 % (663948)------------------------------
% 0.22/0.33 % (663948)------------------------------
% 0.22/0.33 % (663947)Refutation not found, incomplete strategy
% 0.22/0.33 % (663947)------------------------------
% 0.22/0.33 % (663947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (663947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (663947)CaDiCaL version: 2.1.3
% 0.22/0.35 % (663947)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.35 % (663947)Time elapsed: 0.001 s
% 0.22/0.35 % (663947)Peak memory usage: 12 MB
% 0.22/0.35 % (663947)Instructions burned: 1 (million)
% 0.22/0.35 % (663950)Refutation not found, incomplete strategy
% 0.22/0.35 % (663950)------------------------------
% 0.22/0.35 % (663950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (663946)------------------------------
% 0.22/0.35 % (663946)------------------------------
% 0.22/0.35 % (663950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (663950)CaDiCaL version: 2.1.3
% 0.22/0.35 % (663950)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.35 % (663950)Time elapsed: 0.001 s
% 0.22/0.35 % (663950)Peak memory usage: 12 MB
% 0.22/0.35 % (663950)Instructions burned: 1 (million)
% 0.22/0.35 % (663947)------------------------------
% 0.22/0.35 % (663947)------------------------------
% 0.22/0.35 % (663950)------------------------------
% 0.22/0.35 % (663950)------------------------------
% 0.22/0.35 % (663954)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1801393060:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.35 % (663954)Instruction limit reached!
% 0.22/0.35 % (663954)------------------------------
% 0.22/0.35 % (663954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (663954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (663954)CaDiCaL version: 2.1.3
% 0.22/0.35 % (663954)Termination reason: Instruction limit
% 0.22/0.35 % (663954)Termination phase: Saturation
% 0.22/0.35 % (663954)Time elapsed: 0.003 s
% 0.22/0.35 % (663954)Peak memory usage: 12 MB
% 0.22/0.35 % (663954)Instructions burned: 11 (million)
% 0.22/0.35 % (663960)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.35 % (663962)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.35 % (663962)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.35 % (663959)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2850911351:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.35 % (663961)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3511167799:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/0.35 % (663960)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2814584746:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/0.35 % (663963)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2083481886:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.22/0.35 % (663962)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=356757618:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.22/0.35 % (663961)Refutation not found, incomplete strategy
% 0.22/0.35 % (663961)------------------------------
% 0.22/0.35 % (663961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (663961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (663961)CaDiCaL version: 2.1.3
% 0.22/0.35 % (663961)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.35 % (663961)Time elapsed: 0.001 s
% 0.22/0.35 % (663961)Peak memory usage: 12 MB
% 0.22/0.35 % (663961)Instructions burned: 1 (million)
% 0.22/0.35 % (663961)------------------------------
% 0.22/0.35 % (663961)------------------------------
% 0.22/0.35 % (663965)lrs+10_1_si=on:cs=on:random_seed=3190631216:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.22/0.35 % (663965)Refutation not found, incomplete strategy
% 0.22/0.35 % (663965)------------------------------
% 0.22/0.35 % (663965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.35 % (663965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.35 % (663965)CaDiCaL version: 2.1.3
% 0.22/0.37 % (663965)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37 % (663965)Time elapsed: 0.0000 s
% 0.22/0.37 % (663965)Peak memory usage: 12 MB
% 0.22/0.37 % (663962)Refutation not found, incomplete strategy
% 0.22/0.37 % (663962)------------------------------
% 0.22/0.37 % (663962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (663962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (663962)CaDiCaL version: 2.1.3
% 0.22/0.37 % (663962)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37 % (663962)Time elapsed: 0.002 s
% 0.22/0.37 % (663962)Peak memory usage: 12 MB
% 0.22/0.37 % (663962)Instructions burned: 3 (million)
% 0.22/0.37 % (663959)Instruction limit reached!
% 0.22/0.37 % (663959)------------------------------
% 0.22/0.37 % (663959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (663959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (663959)CaDiCaL version: 2.1.3
% 0.22/0.37 % (663959)Termination reason: Instruction limit
% 0.22/0.37 % (663959)Termination phase: Saturation
% 0.22/0.37 % (663965)------------------------------
% 0.22/0.37 % (663965)------------------------------
% 0.22/0.37 % (663959)Time elapsed: 0.005 s
% 0.22/0.37 % (663959)Peak memory usage: 12 MB
% 0.22/0.37 % (663959)Instructions burned: 6 (million)
% 0.22/0.37 % (663962)------------------------------
% 0.22/0.37 % (663962)------------------------------
% 0.22/0.37 % (663960)Instruction limit reached!
% 0.22/0.37 % (663960)------------------------------
% 0.22/0.37 % (663960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (663960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (663960)CaDiCaL version: 2.1.3
% 0.22/0.37 % (663960)Termination reason: Instruction limit
% 0.22/0.37 % (663960)Termination phase: Saturation
% 0.22/0.37 % (663960)Time elapsed: 0.005 s
% 0.22/0.37 % (663960)Peak memory usage: 12 MB
% 0.22/0.37 % (663960)Instructions burned: 8 (million)
% 0.22/0.37 % (663973)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2232571797:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.22/0.37 % (663973)Refutation not found, incomplete strategy
% 0.22/0.37 % (663973)------------------------------
% 0.22/0.37 % (663973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (663973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (663973)CaDiCaL version: 2.1.3
% 0.22/0.37 % (663973)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37 % (663973)Time elapsed: 0.0000 s
% 0.22/0.37 % (663973)Peak memory usage: 12 MB
% 0.22/0.37 % (663973)------------------------------
% 0.22/0.37 % (663973)------------------------------
% 0.22/0.37 % (663972)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.22/0.37 % (663949)Instruction limit reached!
% 0.22/0.37 % (663949)------------------------------
% 0.22/0.37 % (663949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (663949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (663949)CaDiCaL version: 2.1.3
% 0.22/0.37 % (663949)Termination reason: Instruction limit
% 0.22/0.37 % (663949)Termination phase: Saturation
% 0.22/0.37 % (663949)Time elapsed: 0.041 s
% 0.22/0.37 % (663949)Peak memory usage: 13 MB
% 0.22/0.37 % (663949)Instructions burned: 75 (million)
% 0.22/0.37 % (663972)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1306179669:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.37 % (663974)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1097834745:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.22/0.37 % (663972)Refutation not found, incomplete strategy
% 0.22/0.37 % (663972)------------------------------
% 0.22/0.37 % (663972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (663972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (663972)CaDiCaL version: 2.1.3
% 0.22/0.37 % (663972)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37 % (663972)Time elapsed: 0.002 s
% 0.22/0.37 % (663972)Peak memory usage: 12 MB
% 0.22/0.37 % (663972)Instructions burned: 1 (million)
% 0.22/0.39 % (663976)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=88204046:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.22/0.39 % (663974)Refutation not found, incomplete strategy
% 0.22/0.39 % (663974)------------------------------
% 0.22/0.39 % (663974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.39 % (663974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.39 % (663974)CaDiCaL version: 2.1.3
% 0.22/0.39 % (663974)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39 % (663974)Time elapsed: 0.001 s
% 0.22/0.39 % (663974)Peak memory usage: 12 MB
% 0.22/0.39 % (663975)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3135034733:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.22/0.39 % (663972)------------------------------
% 0.22/0.39 % (663972)------------------------------
% 0.22/0.39 % (663974)------------------------------
% 0.22/0.39 % (663974)------------------------------
% 0.22/0.39 % (663975)Refutation not found, incomplete strategy
% 0.22/0.39 % (663975)------------------------------
% 0.22/0.39 % (663975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.39 % (663975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.39 % (663975)CaDiCaL version: 2.1.3
% 0.22/0.39 % (663975)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39 % (663975)Time elapsed: 0.001 s
% 0.22/0.39 % (663975)Peak memory usage: 12 MB
% 0.22/0.39 % (663975)------------------------------
% 0.22/0.39 % (663975)------------------------------
% 0.22/0.39 % (663978)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2881969662:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.22/0.39 % (663978)Refutation not found, incomplete strategy
% 0.22/0.39 % (663978)------------------------------
% 0.22/0.39 % (663978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.39 % (663978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.39 % (663978)CaDiCaL version: 2.1.3
% 0.22/0.39 % (663978)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39 % (663978)Time elapsed: 0.0000 s
% 0.22/0.39 % (663978)Peak memory usage: 12 MB
% 0.22/0.39 % (663978)------------------------------
% 0.22/0.39 % (663978)------------------------------
% 0.22/0.39 % (663976)Refutation not found, incomplete strategy
% 0.22/0.39 % (663976)------------------------------
% 0.22/0.39 % (663976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.39 % (663976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.39 % (663976)CaDiCaL version: 2.1.3
% 0.22/0.39 % (663976)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39 % (663976)Time elapsed: 0.005 s
% 0.22/0.39 % (663976)Peak memory usage: 12 MB
% 0.22/0.39 % (663976)------------------------------
% 0.22/0.39 % (663976)------------------------------
% 0.22/0.39 % (663989)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1791841367:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.22/0.39 % (663989)Refutation not found, incomplete strategy
% 0.22/0.39 % (663989)------------------------------
% 0.22/0.39 % (663989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.39 % (663989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.39 % (663989)CaDiCaL version: 2.1.3
% 0.22/0.39 % (663989)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39 % (663989)Time elapsed: 0.0000 s
% 0.22/0.39 % (663989)Peak memory usage: 12 MB
% 0.22/0.39 % (663963)Instruction limit reached!
% 0.22/0.39 % (663963)------------------------------
% 0.22/0.39 % (663963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.39 % (663963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.39 % (663963)CaDiCaL version: 2.1.3
% 0.22/0.39 % (663963)Termination reason: Instruction limit
% 0.22/0.39 % (663963)Termination phase: Saturation
% 0.22/0.39 % (663963)Time elapsed: 0.040 s
% 0.22/0.39 % (663963)Peak memory usage: 12 MB
% 0.22/0.39 % (663963)Instructions burned: 86 (million)
% 0.22/0.39 % (663989)------------------------------
% 0.22/0.39 % (663989)------------------------------
% 0.22/0.39 % (663985)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=789769349:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.92/0.40 % (663984)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1317914970:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.92/0.40 % (663984)Refutation not found, incomplete strategy
% 0.92/0.40 % (663984)------------------------------
% 0.92/0.40 % (663984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (663984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (663984)CaDiCaL version: 2.1.3
% 0.92/0.40 % (663984)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.40 % (663984)Time elapsed: 0.001 s
% 0.92/0.40 % (663984)Peak memory usage: 12 MB
% 0.92/0.40 % (663985)Refutation not found, incomplete strategy
% 0.92/0.40 % (663985)------------------------------
% 0.92/0.40 % (663985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (663985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (663985)CaDiCaL version: 2.1.3
% 0.92/0.40 % (663985)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.40 % (663985)Time elapsed: 0.002 s
% 0.92/0.40 % (663985)Peak memory usage: 12 MB
% 0.92/0.40 % (663985)Instructions burned: 1 (million)
% 0.92/0.40 % (663984)------------------------------
% 0.92/0.40 % (663984)------------------------------
% 0.92/0.40 % (663985)------------------------------
% 0.92/0.40 % (663985)------------------------------
% 0.92/0.40 % (663987)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=366922915:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.92/0.40 % (663992)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.92/0.40 % (663980)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3065877153:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.92/0.40 % (663992)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3491701152:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.92/0.40 % (663992)Refutation not found, incomplete strategy
% 0.92/0.40 % (663992)------------------------------
% 0.92/0.40 % (663992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (663992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (663992)CaDiCaL version: 2.1.3
% 0.92/0.40 % (663992)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.40 % (663992)Time elapsed: 0.004 s
% 0.92/0.40 % (663992)Peak memory usage: 12 MB
% 0.92/0.40 % (663992)Instructions burned: 1 (million)
% 0.92/0.40 % (663992)------------------------------
% 0.92/0.40 % (663992)------------------------------
% 0.92/0.40 % (663993)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2166884208:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 0.92/0.40 % (663993)Refutation not found, incomplete strategy
% 0.92/0.40 % (663993)------------------------------
% 0.92/0.40 % (663993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (663993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (663993)CaDiCaL version: 2.1.3
% 0.92/0.40 % (663993)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.40 % (663993)Time elapsed: 0.002 s
% 0.92/0.40 % (663993)Peak memory usage: 12 MB
% 0.92/0.40 % (663993)Instructions burned: 2 (million)
% 0.92/0.40 % (663987)Instruction limit reached!
% 0.92/0.40 % (663987)------------------------------
% 0.92/0.40 % (663987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (663987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (663987)CaDiCaL version: 2.1.3
% 0.92/0.40 % (663987)Termination reason: Instruction limit
% 0.92/0.40 % (663987)Termination phase: Saturation
% 0.92/0.40 % (663987)Time elapsed: 0.012 s
% 0.92/0.40 % (663987)Peak memory usage: 11 MB
% 0.92/0.40 % (663987)Instructions burned: 24 (million)
% 0.92/0.40 % (663993)------------------------------
% 0.92/0.40 % (663993)------------------------------
% 0.92/0.40 % (663997)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1802763611:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.92/0.40 % (663997)Refutation not found, incomplete strategy
% 0.92/0.40 % (663997)------------------------------
% 0.92/0.40 % (663997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (663997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (663997)CaDiCaL version: 2.1.3
% 0.92/0.40 % (663997)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.40 % (663997)Time elapsed: 0.0000 s
% 0.92/0.40 % (663997)Peak memory usage: 12 MB
% 0.92/0.40 % (663997)Instructions burned: 1 (million)
% 0.92/0.40 % (663990)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.92/0.40 % (663990)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.92/0.40 % (663997)------------------------------
% 0.92/0.40 % (663997)------------------------------
% 0.92/0.40 % (663998)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3570801345:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.92/0.40 % (663980)Instruction limit reached!
% 0.92/0.40 % (663980)------------------------------
% 0.92/0.40 % (663980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (663980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (663980)CaDiCaL version: 2.1.3
% 0.92/0.40 % (663980)Termination reason: Instruction limit
% 0.92/0.40 % (663980)Termination phase: Saturation
% 0.92/0.40 % (663980)Time elapsed: 0.015 s
% 0.92/0.40 % (663980)Peak memory usage: 12 MB
% 0.92/0.40 % (663980)Instructions burned: 14 (million)
% 0.92/0.40 % (663990)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1231316782:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.92/0.40 % (663998)Refutation not found, incomplete strategy
% 0.92/0.40 % (663998)------------------------------
% 0.92/0.40 % (663998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (663998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (663998)CaDiCaL version: 2.1.3
% 0.92/0.40 % (663998)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.40 % (663998)Time elapsed: 0.008 s
% 0.92/0.40 % (663998)Peak memory usage: 12 MB
% 0.92/0.40 % (663998)Instructions burned: 15 (million)
% 0.92/0.40 % (663998)------------------------------
% 0.92/0.40 % (663998)------------------------------
% 0.92/0.40 % (664010)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=301450472:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 0.92/0.40 % (664006)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3286836987:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 0.92/0.40 % (664007)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3122485872:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 0.92/0.40 % (664007)Refutation not found, incomplete strategy
% 0.92/0.40 % (664007)------------------------------
% 0.92/0.40 % (664007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (664007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (664007)CaDiCaL version: 2.1.3
% 0.92/0.40 % (664007)Termination reason: Refutation not found, incomplete strategy
% 0.92/0.40 % (664007)Time elapsed: 0.001 s
% 0.92/0.40 % (664007)Peak memory usage: 12 MB
% 0.92/0.40 % (663990)Instruction limit reached!
% 0.92/0.40 % (663990)------------------------------
% 0.92/0.40 % (663990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (663990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (663990)CaDiCaL version: 2.1.3
% 0.92/0.40 % (663990)Termination reason: Instruction limit
% 0.92/0.40 % (663990)Termination phase: Saturation
% 0.92/0.40 % (663990)Time elapsed: 0.016 s
% 0.92/0.40 % (663990)Peak memory usage: 12 MB
% 0.92/0.40 % (663990)Instructions burned: 15 (million)
% 0.92/0.40 % (664007)------------------------------
% 0.92/0.40 % (664007)------------------------------
% 0.92/0.40 % (664004)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1468517852:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 0.92/0.40 % (664002)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4151855211:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 0.92/0.40 % (664010) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-663939-664010"...
% 0.92/0.40 % (664010)...printing done.
% 0.92/0.40 % (664010)Refutation found. Thanks to Tanya!
% 0.92/0.40 % SZS status Theorem for theBenchmark
% 0.92/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.92/0.40 % (664010)------------------------------
% 0.92/0.40 % (664010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.92/0.40 % (664010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.40 % (664010)CaDiCaL version: 2.1.3
% 0.92/0.40 % (664010)Termination reason: Refutation
% 0.92/0.40 % (664010)Time elapsed: 0.009 s
% 0.92/0.40 % (664010)Peak memory usage: 12 MB
% 0.92/0.40 % (664010)Instructions burned: 30 (million)
% 0.92/0.40 % (663939)Success in time 0.148 s
% 0.92/0.40 % Vampire exiting
%------------------------------------------------------------------------------