%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL687-10.001 : 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 : n011.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 12:00:18 PM UTC 2026
% Result : Satisfiable 0.13s 0.43s
% Output : FiniteModel 0.13s
% 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_true,type,
true: $i ).
tff(true_definition,axiom,
true = 'fmb_$i_1' ).
tff(declare_sK5_main_X,type,
sK5_main_X: $i ).
tff(sK5_main_X_definition,axiom,
sK5_main_X = 'fmb_$i_1' ).
tff(declare_sK4_main_Y,type,
sK4_main_Y: $i ).
tff(sK4_main_Y_definition,axiom,
sK4_main_Y = 'fmb_$i_2' ).
tff(declare_sK2_main_Y,type,
sK2_main_Y: $i ).
tff(sK2_main_Y_definition,axiom,
sK2_main_Y = 'fmb_$i_2' ).
tff(declare_sK3_main_X,type,
sK3_main_X: $i ).
tff(sK3_main_X_definition,axiom,
sK3_main_X = 'fmb_$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_2' )
& ( 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_r1,type,
r1: ( $i * $i ) > $i ).
tff(function_r1,axiom,
( ( r1('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( r1('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( r1('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( r1('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_p6,type,
p6: $i > $i ).
tff(function_p6,axiom,
( ( p6('fmb_$i_1') = 'fmb_$i_2' )
& ( p6('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_p1,type,
p1: $i > $i ).
tff(function_p1,axiom,
( ( p1('fmb_$i_1') = 'fmb_$i_2' )
& ( p1('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_sK1_main_Y,type,
sK1_main_Y: $i > $i ).
tff(function_sK1_main_Y,axiom,
( ( sK1_main_Y('fmb_$i_1') = 'fmb_$i_1' )
& ( sK1_main_Y('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_tuple,type,
tuple: ( $i * $i ) > $i ).
tff(function_tuple,axiom,
( ( tuple('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( tuple('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( tuple('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( tuple('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL687-10.001 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 16:38:45 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 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
% 0.13/0.43 % (2605271)Will run a generic schedule for satisfiability detection.
% 0.13/0.43 % (2605276)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4218524447_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.43 % TRYING [1]
% 0.13/0.43 % TRYING [2]
% 0.13/0.43 % Finite Model Found!
% 0.13/0.43 % SZS status Satisfiable for theBenchmark
% 0.13/0.43 % (2605276) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2605271-2605276"...
% 0.13/0.43 % (2605276)...printing done.
% 0.13/0.43 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.13/0.43 % (2605276)------------------------------
% 0.13/0.43 % (2605276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.43 % (2605276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.43 % (2605276)CaDiCaL version: 2.1.3
% 0.13/0.43 % (2605276)Termination reason: Satisfiable
% 0.13/0.43 % (2605276)Time elapsed: 0.001 s
% 0.13/0.43 % (2605276)Peak memory usage: 11 MB
% 0.13/0.43 % (2605276)Instructions burned: 4 (million)
% 0.13/0.43 % (2605271)Success in time 0.025 s
% 0.13/0.43 % Vampire exiting
%------------------------------------------------------------------------------