%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV002^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 08:38:50 AM UTC 2026
% Result : Theorem 0.19s 0.32s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 87 ( 86 equ; 0 cnn)
% Maximal formula atoms : 11 ( 5 avg)
% Number of connectives : 633 ( 9 ~; 0 |; 67 &; 554 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 199 ( 0 ^; 184 !; 15 ?; 199 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
sK0: a > a > a ).
thf(func_def_2,type,
sK1: a > a > a ).
thf(func_def_3,type,
sK2: a ).
thf(func_def_4,type,
sK3: a ).
thf(func_def_5,type,
sK4: a ).
thf(f1,conjecture,
! [X0: a > a > a,X1: a > a > a] :
( ( ! [X2: a,X3: a,X4: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ X4 ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X2: a,X3: a,X4: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 ) )
=> ! [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cMODULAR_THM_DEF2_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [X2: a,X3: a,X4: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ X4 ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) )
& ! [X2: a,X3: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X0 @ ( X1 @ X2 @ X3 ) @ X3 )
= X3 )
& ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
& ! [X2: a,X3: a,X4: a] :
( ( X1 @ ( X1 @ X2 @ X3 ) @ X4 )
= ( X1 @ X2 @ ( X1 @ X3 @ X4 ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X0 @ ( X0 @ X2 @ X3 ) @ X4 )
= ( X0 @ X2 @ ( X0 @ X3 @ X4 ) ) )
& ! [X2: a] :
( ( X1 @ X2 @ X2 )
= X2 )
& ! [X2: a] :
( ( X0 @ X2 @ X2 )
= X2 ) )
=> ! [X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) )
= ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > a,X1: a > a > a] :
( ( ! [X2: a,X3: a,X4: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) )
& ! [X5: a,X6: a,X7: a] :
( ( X0 @ X5 @ ( X1 @ X6 @ X7 ) )
= ( X1 @ ( X0 @ X5 @ X6 ) @ ( X0 @ X5 @ X7 ) ) )
& ! [X8: a,X9: a] :
( ( X1 @ ( X0 @ X8 @ X9 ) @ X9 )
= X9 )
& ! [X10: a,X11: a] :
( ( X0 @ ( X1 @ X10 @ X11 ) @ X11 )
= X11 )
& ! [X12: a,X13: a] :
( ( X1 @ X12 @ X13 )
= ( X1 @ X13 @ X12 ) )
& ! [X14: a,X15: a] :
( ( X0 @ X14 @ X15 )
= ( X0 @ X15 @ X14 ) )
& ! [X16: a,X17: a,X18: a] :
( ( X1 @ ( X1 @ X16 @ X17 ) @ X18 )
= ( X1 @ X16 @ ( X1 @ X17 @ X18 ) ) )
& ! [X19: a,X20: a,X21: a] :
( ( X0 @ ( X0 @ X19 @ X20 ) @ X21 )
= ( X0 @ X19 @ ( X0 @ X20 @ X21 ) ) )
& ! [X22: a] :
( ( X1 @ X22 @ X22 )
= X22 )
& ! [X23: a] :
( ( X0 @ X23 @ X23 )
= X23 ) )
=> ! [X24: a,X25: a,X26: a] :
( ( X1 @ ( X0 @ X24 @ X25 ) @ ( X0 @ X24 @ X26 ) )
= ( X0 @ X24 @ ( X1 @ X25 @ ( X0 @ X24 @ X26 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
? [X0: a > a > a,X1: a > a > a] :
( ? [X24: a,X25: a,X26: a] :
( ( X1 @ ( X0 @ X24 @ X25 ) @ ( X0 @ X24 @ X26 ) )
!= ( X0 @ X24 @ ( X1 @ X25 @ ( X0 @ X24 @ X26 ) ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) )
& ! [X5: a,X6: a,X7: a] :
( ( X0 @ X5 @ ( X1 @ X6 @ X7 ) )
= ( X1 @ ( X0 @ X5 @ X6 ) @ ( X0 @ X5 @ X7 ) ) )
& ! [X8: a,X9: a] :
( ( X1 @ ( X0 @ X8 @ X9 ) @ X9 )
= X9 )
& ! [X10: a,X11: a] :
( ( X0 @ ( X1 @ X10 @ X11 ) @ X11 )
= X11 )
& ! [X12: a,X13: a] :
( ( X1 @ X12 @ X13 )
= ( X1 @ X13 @ X12 ) )
& ! [X14: a,X15: a] :
( ( X0 @ X14 @ X15 )
= ( X0 @ X15 @ X14 ) )
& ! [X16: a,X17: a,X18: a] :
( ( X1 @ ( X1 @ X16 @ X17 ) @ X18 )
= ( X1 @ X16 @ ( X1 @ X17 @ X18 ) ) )
& ! [X19: a,X20: a,X21: a] :
( ( X0 @ ( X0 @ X19 @ X20 ) @ X21 )
= ( X0 @ X19 @ ( X0 @ X20 @ X21 ) ) )
& ! [X22: a] :
( ( X1 @ X22 @ X22 )
= X22 )
& ! [X23: a] :
( ( X0 @ X23 @ X23 )
= X23 ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f5,plain,
? [X0: a > a > a,X1: a > a > a] :
( ? [X24: a,X25: a,X26: a] :
( ( X1 @ ( X0 @ X24 @ X25 ) @ ( X0 @ X24 @ X26 ) )
!= ( X0 @ X24 @ ( X1 @ X25 @ ( X0 @ X24 @ X26 ) ) ) )
& ! [X2: a,X3: a,X4: a] :
( ( X1 @ X2 @ ( X0 @ X3 @ X4 ) )
= ( X0 @ ( X1 @ X2 @ X3 ) @ ( X1 @ X2 @ X4 ) ) )
& ! [X5: a,X6: a,X7: a] :
( ( X0 @ X5 @ ( X1 @ X6 @ X7 ) )
= ( X1 @ ( X0 @ X5 @ X6 ) @ ( X0 @ X5 @ X7 ) ) )
& ! [X8: a,X9: a] :
( ( X1 @ ( X0 @ X8 @ X9 ) @ X9 )
= X9 )
& ! [X10: a,X11: a] :
( ( X0 @ ( X1 @ X10 @ X11 ) @ X11 )
= X11 )
& ! [X12: a,X13: a] :
( ( X1 @ X12 @ X13 )
= ( X1 @ X13 @ X12 ) )
& ! [X14: a,X15: a] :
( ( X0 @ X14 @ X15 )
= ( X0 @ X15 @ X14 ) )
& ! [X16: a,X17: a,X18: a] :
( ( X1 @ ( X1 @ X16 @ X17 ) @ X18 )
= ( X1 @ X16 @ ( X1 @ X17 @ X18 ) ) )
& ! [X19: a,X20: a,X21: a] :
( ( X0 @ ( X0 @ X19 @ X20 ) @ X21 )
= ( X0 @ X19 @ ( X0 @ X20 @ X21 ) ) )
& ! [X22: a] :
( ( X1 @ X22 @ X22 )
= X22 )
& ! [X23: a] :
( ( X0 @ X23 @ X23 )
= X23 ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
? [X0: a > a > a,X1: a > a > a] :
( ? [X2: a,X3: a,X4: a] :
( ( X1 @ ( X0 @ X2 @ X3 ) @ ( X0 @ X2 @ X4 ) )
!= ( X0 @ X2 @ ( X1 @ X3 @ ( X0 @ X2 @ X4 ) ) ) )
& ! [X5: a,X6: a,X7: a] :
( ( X1 @ X5 @ ( X0 @ X6 @ X7 ) )
= ( X0 @ ( X1 @ X5 @ X6 ) @ ( X1 @ X5 @ X7 ) ) )
& ! [X8: a,X9: a,X10: a] :
( ( X0 @ X8 @ ( X1 @ X9 @ X10 ) )
= ( X1 @ ( X0 @ X8 @ X9 ) @ ( X0 @ X8 @ X10 ) ) )
& ! [X11: a,X12: a] :
( ( X1 @ ( X0 @ X11 @ X12 ) @ X12 )
= X12 )
& ! [X13: a,X14: a] :
( ( X0 @ ( X1 @ X13 @ X14 ) @ X14 )
= X14 )
& ! [X15: a,X16: a] :
( ( X1 @ X15 @ X16 )
= ( X1 @ X16 @ X15 ) )
& ! [X17: a,X18: a] :
( ( X0 @ X17 @ X18 )
= ( X0 @ X18 @ X17 ) )
& ! [X19: a,X20: a,X21: a] :
( ( X1 @ ( X1 @ X19 @ X20 ) @ X21 )
= ( X1 @ X19 @ ( X1 @ X20 @ X21 ) ) )
& ! [X22: a,X23: a,X24: a] :
( ( X0 @ ( X0 @ X22 @ X23 ) @ X24 )
= ( X0 @ X22 @ ( X0 @ X23 @ X24 ) ) )
& ! [X25: a] :
( ( X1 @ X25 @ X25 )
= X25 )
& ! [X26: a] :
( ( X0 @ X26 @ X26 )
= X26 ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
( ( ( sK1 @ ( sK0 @ sK2 @ sK3 ) @ ( sK0 @ sK2 @ sK4 ) )
!= ( sK0 @ sK2 @ ( sK1 @ sK3 @ ( sK0 @ sK2 @ sK4 ) ) ) )
& ! [X5: a,X6: a,X7: a] :
( ( sK1 @ X5 @ ( sK0 @ X6 @ X7 ) )
= ( sK0 @ ( sK1 @ X5 @ X6 ) @ ( sK1 @ X5 @ X7 ) ) )
& ! [X8: a,X9: a,X10: a] :
( ( sK0 @ X8 @ ( sK1 @ X9 @ X10 ) )
= ( sK1 @ ( sK0 @ X8 @ X9 ) @ ( sK0 @ X8 @ X10 ) ) )
& ! [X11: a,X12: a] :
( ( sK1 @ ( sK0 @ X11 @ X12 ) @ X12 )
= X12 )
& ! [X13: a,X14: a] :
( ( sK0 @ ( sK1 @ X13 @ X14 ) @ X14 )
= X14 )
& ! [X15: a,X16: a] :
( ( sK1 @ X15 @ X16 )
= ( sK1 @ X16 @ X15 ) )
& ! [X17: a,X18: a] :
( ( sK0 @ X17 @ X18 )
= ( sK0 @ X18 @ X17 ) )
& ! [X19: a,X20: a,X21: a] :
( ( sK1 @ ( sK1 @ X19 @ X20 ) @ X21 )
= ( sK1 @ X19 @ ( sK1 @ X20 @ X21 ) ) )
& ! [X22: a,X23: a,X24: a] :
( ( sK0 @ ( sK0 @ X22 @ X23 ) @ X24 )
= ( sK0 @ X22 @ ( sK0 @ X23 @ X24 ) ) )
& ! [X25: a] :
( ( sK1 @ X25 @ X25 )
= X25 )
& ! [X26: a] :
( ( sK0 @ X26 @ X26 )
= X26 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f6]) ).
thf(f8,plain,
! [X26: a] :
( ( sK0 @ X26 @ X26 )
= X26 ),
inference(cnf_transformation,[],[f7]) ).
thf(f10,plain,
! [X24: a,X22: a,X23: a] :
( ( sK0 @ ( sK0 @ X22 @ X23 ) @ X24 )
= ( sK0 @ X22 @ ( sK0 @ X23 @ X24 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f16,plain,
! [X10: a,X8: a,X9: a] :
( ( sK0 @ X8 @ ( sK1 @ X9 @ X10 ) )
= ( sK1 @ ( sK0 @ X8 @ X9 ) @ ( sK0 @ X8 @ X10 ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f18,plain,
( ( sK1 @ ( sK0 @ sK2 @ sK3 ) @ ( sK0 @ sK2 @ sK4 ) )
!= ( sK0 @ sK2 @ ( sK1 @ sK3 @ ( sK0 @ sK2 @ sK4 ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f21,plain,
( ( sK0 @ sK2 @ ( sK1 @ sK3 @ ( sK0 @ sK2 @ sK4 ) ) )
!= ( sK0 @ sK2 @ ( sK1 @ sK3 @ sK4 ) ) ),
inference(forward_demodulation,[],[f18,f16]) ).
thf(f38,plain,
! [X0: a,X1: a] :
( ( sK0 @ X0 @ X1 )
= ( sK0 @ X0 @ ( sK0 @ X0 @ X1 ) ) ),
inference(constrained_superposition,[],[f10,f8]) ).
thf(f258,plain,
! [X2: a,X0: a,X1: a] :
( ( sK1 @ ( sK0 @ X0 @ X2 ) @ ( sK0 @ X0 @ X1 ) )
= ( sK0 @ X0 @ ( sK1 @ X2 @ ( sK0 @ X0 @ X1 ) ) ) ),
inference(constrained_superposition,[],[f16,f38]) ).
thf(f264,plain,
! [X2: a,X0: a,X1: a] :
( ( sK0 @ X0 @ ( sK1 @ X2 @ X1 ) )
= ( sK0 @ X0 @ ( sK1 @ X2 @ ( sK0 @ X0 @ X1 ) ) ) ),
inference(forward_demodulation,[],[f258,f16]) ).
thf(f271,plain,
( ( sK0 @ sK2 @ ( sK1 @ sK3 @ sK4 ) )
!= ( sK0 @ sK2 @ ( sK1 @ sK3 @ sK4 ) ) ),
inference(backward_demodulation,[],[f21,f264]) ).
thf(f272,plain,
$false,
inference(trivial_inequality_removal,[],[f271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV002^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 15:00:28 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.32 % (707306)Will run a generic schedule for satisfiability detection.
% 0.19/0.32 % (707317)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1332308261:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.32 % (707312)% WARNING: option uhcvi not known.
% 0.19/0.32 % (707311)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3712318306_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.32 % (707312)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3308216878:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.32 % (707313)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3009523666:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.32 % (707314)dis+10_1_sil=32000:sp=arity:random_seed=1426144597:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.32 % (707315)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2795295536:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.32 % (707316)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3010166260:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32 % (707312)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.32 % (707315)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.32 % Exception at run slice level
% 0.19/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.32 % (707312)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.32 % (707325)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=374574448:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.32 % Exception at run slice level
% 0.19/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.32 % (707317)Instruction limit reached!
% 0.19/0.32 % (707317)------------------------------
% 0.19/0.32 % (707317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (707317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (707317)CaDiCaL version: 2.1.3
% 0.19/0.32 % (707317)Termination reason: Instruction limit
% 0.19/0.32 % (707317)Termination phase: Saturation
% 0.19/0.32 % (707317)Time elapsed: 0.044 s
% 0.19/0.32 % (707317)Peak memory usage: 13 MB
% 0.19/0.32 % (707317)Instructions burned: 163 (million)
% 0.19/0.32 % (707327)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2393533778:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32 % (707328)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3454889703:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.19/0.32 % (707328)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.32 % (707328)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.32 % (707314)Instruction limit reached!
% 0.19/0.32 % (707314)------------------------------
% 0.19/0.32 % (707314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (707314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (707314)CaDiCaL version: 2.1.3
% 0.19/0.32 % (707314)Termination reason: Instruction limit
% 0.19/0.32 % (707314)Termination phase: Saturation
% 0.19/0.32 % (707314)Time elapsed: 0.049 s
% 0.19/0.32 % (707314)Peak memory usage: 12 MB
% 0.19/0.32 % (707314)Instructions burned: 104 (million)
% 0.19/0.32 % (707315)Instruction limit reached!
% 0.19/0.32 % (707315)------------------------------
% 0.19/0.32 % (707315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (707315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (707315)CaDiCaL version: 2.1.3
% 0.19/0.32 % (707315)Termination reason: Instruction limit
% 0.19/0.32 % (707315)Termination phase: Saturation
% 0.19/0.32 % (707315)Time elapsed: 0.057 s
% 0.19/0.32 % (707315)Peak memory usage: 12 MB
% 0.19/0.32 % (707315)Instructions burned: 118 (million)
% 0.19/0.32 % (707327) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-707306-707327"...
% 0.19/0.32 % (707327)...printing done.
% 0.19/0.32 % (707327)Refutation found. Thanks to Tanya!
% 0.19/0.32 % SZS status Theorem for theBenchmark
% 0.19/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.32 % (707327)------------------------------
% 0.19/0.32 % (707327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (707327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (707327)CaDiCaL version: 2.1.3
% 0.19/0.32 % (707327)Termination reason: Refutation
% 0.19/0.32 % (707327)Time elapsed: 0.019 s
% 0.19/0.32 % (707327)Peak memory usage: 12 MB
% 0.19/0.32 % (707327)Instructions burned: 34 (million)
% 0.19/0.32 % (707306)Success in time 0.096 s
% 0.19/0.32 % Vampire exiting
%------------------------------------------------------------------------------