%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU918^5 : 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 : 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 : Wed Sep 30 08:34:24 AM UTC 2026
% Result : Theorem 0.41s 0.33s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 23 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 89 ( 21 ~; 5 |; 1 &; 58 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-4 aty)
% Number of variables : 56 ( 18 ^; 38 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_3,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_4,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
( ( a != b )
=> ~ ! [X0: $i > $i,X1: $i > $i] :
( ( ^ [X2: $i] : ( X0 @ ( X1 @ X2 ) ) )
= ( ^ [X2: $i] : ( X1 @ ( X0 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM197_pme) ).
thf(f2,negated_conjecture,
~ ( ( a != b )
=> ~ ! [X0: $i > $i,X1: $i > $i] :
( ( ^ [X2: $i] : ( X0 @ ( X1 @ X2 ) ) )
= ( ^ [X2: $i] : ( X1 @ ( X0 @ X2 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( a != b )
=> ~ ! [X0: $i > $i,X1: $i > $i] :
( ( ^ [X2: $i] : ( X0 @ ( X1 @ X2 ) ) )
= ( ^ [X3: $i] : ( X1 @ ( X0 @ X3 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( a != b )
=> ~ ! [X0: $i > $i,X1: $i > $i] :
( ( ^ [Y0: $i] : ( X0 @ ( X1 @ Y0 ) ) )
= ( ^ [Y0: $i] : ( X1 @ ( X0 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ! [X0: $i > $i,X1: $i > $i] :
( ( ^ [Y0: $i] : ( X0 @ ( X1 @ Y0 ) ) )
= ( ^ [Y0: $i] : ( X1 @ ( X0 @ Y0 ) ) ) )
& ( a != b ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f6,plain,
a != b,
inference(cnf_transformation,[],[f5]) ).
thf(f7,plain,
! [X0: $i > $i,X1: $i > $i] :
( ( ^ [Y0: $i] : ( X0 @ ( X1 @ Y0 ) ) )
= ( ^ [Y0: $i] : ( X1 @ ( X0 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f8,plain,
! [X2: $i,X0: $i > $i,X1: $i > $i] :
( ( ^ [Y0: $i] : ( X0 @ ( X1 @ Y0 ) )
@ X2 )
= ( ^ [Y0: $i] : ( X1 @ ( X0 @ Y0 ) )
@ X2 ) ),
inference(argument_congruence,[],[f7]) ).
thf(f13,plain,
! [X2: $i,X0: $i > $i,X1: $i > $i] :
( ( X0 @ ( X1 @ X2 ) )
= ( X1 @ ( X0 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f8]) ).
thf(f19,plain,
! [X2: $i,X3: $i > $i,X0: $i > $i,X1: $i > $i,X4: $i > $i,X5: $i] :
( ( ( X3 @ ( X4 @ X5 ) )
= ( X4 @ ( X0 @ ( X1 @ X2 ) ) ) )
| ( ( X1 @ ( X0 @ X2 ) )
!= ( X3 @ X5 ) ) ),
inference(constrained_superposition,[],[f13,f13]) ).
thf(f76,plain,
! [X2: $i > $i,X3: $i,X0: $i > $i,X1: $i] :
( ( b
!= ( X0
@ ( ^ [Y0: $i] : Y0
@ X1 ) ) )
| ( ( X0 @ X1 )
!= ( X2
@ ( ^ [Y0: $i] : a
@ X3 ) ) ) ),
inference(constrained_superposition,[],[f6,f19]) ).
thf(f81,plain,
! [X2: $i > $i,X0: $i > $i,X1: $i] :
( ( b
!= ( X0 @ X1 ) )
| ( ( X0 @ X1 )
!= ( X2 @ a ) ) ),
inference(beta-eta_normalization,[],[f76]) ).
thf(f387,plain,
! [X2: $i > $i,X3: $i,X0: $i > $i,X1: $i,X6: $i > $i,X4: $i > $i,X5: $i] :
( ( ( X2 @ X3 )
!= ( X0
@ ( ^ [Y0: $i] : Y0
@ X1 ) ) )
| ( ( X2 @ X3 )
!= ( X6 @ a ) )
| ( ( X0 @ X1 )
!= ( X4
@ ( ^ [Y0: $i] : b
@ X5 ) ) ) ),
inference(constrained_superposition,[],[f81,f19]) ).
thf(f400,plain,
$false,
inference(flex-flex_simplification,[],[f387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU918^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n008.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 14:46:54 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 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
% 0.41/0.33 % (3259492)Will run a generic schedule for satisfiability detection.
% 0.41/0.33 % (3259498)% WARNING: option uhcvi not known.
% 0.41/0.33 % (3259498)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3617783952:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.41/0.33 % (3259498)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.41/0.33 % (3259498)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.41/0.33 % (3259500)dis+10_1_sil=32000:sp=arity:random_seed=2700566221:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.41/0.33 % (3259497)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1753272679_2999 on theBenchmark for (2999ds/0Mi)
% 0.41/0.33 % Exception at run slice level
% 0.41/0.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.41/0.33 % (3259502)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3566875180:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.41/0.33 % (3259503)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=444611707:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.41/0.33 % (3259501)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3084345639:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.41/0.33 % (3259499)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=247537909:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.41/0.33 % (3259501)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.41/0.33 % (3259500)Instruction limit reached!
% 0.41/0.33 % (3259500)------------------------------
% 0.41/0.33 % (3259500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.33 % (3259500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.33 % (3259500)CaDiCaL version: 2.1.3
% 0.41/0.33 % (3259500)Termination reason: Instruction limit
% 0.41/0.33 % (3259500)Termination phase: Saturation
% 0.41/0.33 % (3259500)Time elapsed: 0.045 s
% 0.41/0.33 % (3259500)Peak memory usage: 11 MB
% 0.41/0.33 % (3259500)Instructions burned: 105 (million)
% 0.41/0.33 % (3259499)Refutation not found, incomplete strategy
% 0.41/0.33 % (3259499)------------------------------
% 0.41/0.33 % (3259499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.33 % (3259499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.33 % (3259499)CaDiCaL version: 2.1.3
% 0.41/0.33 % (3259499)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.33 % (3259499)Time elapsed: 0.036 s
% 0.41/0.33 % (3259499)Peak memory usage: 12 MB
% 0.41/0.33 % (3259499)Instructions burned: 39 (million)
% 0.41/0.33 % (3259499)------------------------------
% 0.41/0.33 % (3259499)------------------------------
% 0.41/0.33 % (3259512)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=505455318:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.41/0.33 % (3259511)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3705764757:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.41/0.33 % Exception at run slice level
% 0.41/0.33 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.41/0.33 % (3259502) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3259492-3259502"...
% 0.41/0.33 % (3259502)...printing done.
% 0.41/0.33 % (3259513)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=296774765:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.41/0.33 % (3259502)Refutation found. Thanks to Tanya!
% 0.41/0.33 % SZS status Theorem for theBenchmark
% 0.41/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.33 % (3259502)------------------------------
% 0.41/0.33 % (3259502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.33 % (3259502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.33 % (3259502)CaDiCaL version: 2.1.3
% 0.41/0.33 % (3259502)Termination reason: Refutation
% 0.41/0.33 % (3259502)Time elapsed: 0.058 s
% 0.41/0.33 % (3259502)Peak memory usage: 12 MB
% 0.41/0.33 % (3259502)Instructions burned: 56 (million)
% 0.41/0.33 % (3259492)Success in time 0.112 s
% 0.41/0.33 % Vampire exiting
%------------------------------------------------------------------------------