%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL142-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 11:57:46 AM UTC 2026
% Result : Satisfiable 0.24s 0.55s
% Output : FiniteModel 0.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' ) ) ).
tff('distinct_domain_$i',axiom,
'fmb_$i_1' != 'fmb_$i_2' ).
tff(declare_truth,type,
truth: $i ).
tff(truth_definition,axiom,
truth = 'fmb_$i_1' ).
tff(declare_true,type,
true: $i ).
tff(true_definition,axiom,
true = 'fmb_$i_1' ).
tff(declare_x,type,
x: $i ).
tff(x_definition,axiom,
x = 'fmb_$i_2' ).
tff(declare_y,type,
y: $i ).
tff(y_definition,axiom,
y = 'fmb_$i_1' ).
tff(declare_z,type,
z: $i ).
tff(z_definition,axiom,
z = 'fmb_$i_2' ).
tff(declare_ifeq2,type,
ifeq2: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq2,axiom,
( ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq2('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_ifeq,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(function_ifeq,axiom,
( ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( ifeq('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_implies,type,
implies: ( $i * $i ) > $i ).
tff(function_implies,axiom,
( ( implies('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( implies('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( implies('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( implies('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_not,type,
not: $i > $i ).
tff(function_not,axiom,
( ( not('fmb_$i_1') = 'fmb_$i_2' )
& ( not('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_big_V,type,
big_V: ( $i * $i ) > $i ).
tff(function_big_V,axiom,
( ( big_V('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( big_V('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( big_V('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( big_V('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_big_hat,type,
big_hat: ( $i * $i ) > $i ).
tff(function_big_hat,axiom,
( ( big_hat('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( big_hat('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( big_hat('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( big_hat('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_ordered,type,
ordered: ( $i * $i ) > $i ).
tff(function_ordered,axiom,
( ( ordered('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( ordered('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( ordered('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( ordered('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL142-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.44 % Computer : n014.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 15:23:31 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.49 Running first-order model finding
% 0.24/0.49 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
% 0.24/0.55 % (934544)Will run a generic schedule for satisfiability detection.
% 0.24/0.55 % (934551)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3522844966:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.55 % (934553)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1912780084:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.55 % (934550)% WARNING: option uhcvi not known.
% 0.24/0.55 % (934549)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1774962570_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.55 % (934552)dis+10_1_sil=32000:sp=arity:random_seed=10787288:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.55 % (934550)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=371966013:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.55 % TRYING [1]
% 0.24/0.55 % TRYING [2]
% 0.24/0.55 % (934554)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=568937560:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.55 % (934555)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2033024409:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.55 % Finite Model Found!
% 0.24/0.55 % SZS status Satisfiable for theBenchmark
% 0.24/0.55 % (934549) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-934544-934549"...
% 0.24/0.55 % (934549)...printing done.
% 0.24/0.55 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.24/0.55 % (934549)------------------------------
% 0.24/0.55 % (934549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.55 % (934549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.55 % (934549)CaDiCaL version: 2.1.3
% 0.24/0.55 % (934549)Termination reason: Satisfiable
% 0.24/0.55 % (934549)Time elapsed: 0.005 s
% 0.24/0.55 % (934549)Peak memory usage: 11 MB
% 0.24/0.55 % (934549)Instructions burned: 4 (million)
% 0.24/0.55 % (934544)Success in time 0.043 s
% 0.24/0.55 % Vampire exiting
%------------------------------------------------------------------------------