%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW876+1 : 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 : n001.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 01:45:06 PM UTC 2026
% Result : CounterSatisfiable 0.94s 0.41s
% Output : FiniteModel 0.94s
% 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_cbool__00,type,
cbool__00: $i ).
tff(cbool__00_definition,axiom,
cbool__00 = 'fmb_$i_1' ).
tff(declare_cT__00,type,
cT__00: $i ).
tff(cT__00_definition,axiom,
cT__00 = 'fmb_$i_1' ).
tff(declare_cF__00,type,
cF__00: $i ).
tff(cF__00_definition,axiom,
cF__00 = 'fmb_$i_2' ).
tff(declare_c_27const_2erelation_2eEMPTY__REL_27__00,type,
c_27const_2erelation_2eEMPTY__REL_27__00: $i ).
tff(c_27const_2erelation_2eEMPTY__REL_27__00_definition,axiom,
c_27const_2erelation_2eEMPTY__REL_27__00 = 'fmb_$i_2' ).
tff(declare_c_27const_2eoption_2eNONE_27__00,type,
c_27const_2eoption_2eNONE_27__00: $i ).
tff(c_27const_2eoption_2eNONE_27__00_definition,axiom,
c_27const_2eoption_2eNONE_27__00 = 'fmb_$i_2' ).
tff(declare_c_27type_2enum_2enum_27__00,type,
c_27type_2enum_2enum_27__00: $i ).
tff(c_27type_2enum_2enum_27__00_definition,axiom,
c_27type_2enum_2enum_27__00 = 'fmb_$i_2' ).
tff(declare_s__02,type,
s__02: ( $i * $i ) > $i ).
tff(function_s__02,axiom,
( ( s__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( s__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( s__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( s__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_cfun__02,type,
cfun__02: ( $i * $i ) > $i ).
tff(function_cfun__02,axiom,
( ( cfun__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( cfun__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( cfun__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( cfun__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_chapp__02,type,
chapp__02: ( $i * $i ) > $i ).
tff(function_chapp__02,axiom,
( ( chapp__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( chapp__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( chapp__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( chapp__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27const_2emin_2e_40_27__01,type,
c_27const_2emin_2e_40_27__01: $i > $i ).
tff(function_c_27const_2emin_2e_40_27__01,axiom,
( ( c_27const_2emin_2e_40_27__01('fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2emin_2e_40_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27const_2ecombin_2eI_27__01,type,
c_27const_2ecombin_2eI_27__01: $i > $i ).
tff(function_c_27const_2ecombin_2eI_27__01,axiom,
( ( c_27const_2ecombin_2eI_27__01('fmb_$i_1') = 'fmb_$i_1' )
& ( c_27const_2ecombin_2eI_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27const_2erelation_2eWF_27__01,type,
c_27const_2erelation_2eWF_27__01: $i > $i ).
tff(function_c_27const_2erelation_2eWF_27__01,axiom,
( ( c_27const_2erelation_2eWF_27__01('fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eWF_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_27const_2erelation_2eWFREC_27__02,type,
c_27const_2erelation_2eWFREC_27__02: ( $i * $i ) > $i ).
tff(function_c_27const_2erelation_2eWFREC_27__02,axiom,
( ( c_27const_2erelation_2eWFREC_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eWFREC_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eWFREC_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eWFREC_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27const_2erelation_2eRESTRICT_27__03,type,
c_27const_2erelation_2eRESTRICT_27__03: ( $i * $i * $i ) > $i ).
tff(function_c_27const_2erelation_2eRESTRICT_27__03,axiom,
( ( c_27const_2erelation_2eRESTRICT_27__03('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eRESTRICT_27__03('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eRESTRICT_27__03('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eRESTRICT_27__03('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eRESTRICT_27__03('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eRESTRICT_27__03('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eRESTRICT_27__03('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2erelation_2eRESTRICT_27__03('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27type_2epair_2eprod_27__02,type,
c_27type_2epair_2eprod_27__02: ( $i * $i ) > $i ).
tff(function_c_27type_2epair_2eprod_27__02,axiom,
( ( c_27type_2epair_2eprod_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27type_2epair_2eprod_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27type_2epair_2eprod_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27type_2epair_2eprod_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27const_2epair_2e_2c_27__02,type,
c_27const_2epair_2e_2c_27__02: ( $i * $i ) > $i ).
tff(function_c_27const_2epair_2e_2c_27__02,axiom,
( ( c_27const_2epair_2e_2c_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2epair_2e_2c_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27const_2epair_2e_2c_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2epair_2e_2c_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27const_2epair_2epair__CASE_27__02,type,
c_27const_2epair_2epair__CASE_27__02: ( $i * $i ) > $i ).
tff(function_c_27const_2epair_2epair__CASE_27__02,axiom,
( ( c_27const_2epair_2epair__CASE_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2epair_2epair__CASE_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27const_2epair_2epair__CASE_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2epair_2epair__CASE_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27type_2eoption_2eoption_27__01,type,
c_27type_2eoption_2eoption_27__01: $i > $i ).
tff(function_c_27type_2eoption_2eoption_27__01,axiom,
( ( c_27type_2eoption_2eoption_27__01('fmb_$i_1') = 'fmb_$i_1' )
& ( c_27type_2eoption_2eoption_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_27const_2eoption_2eSOME_27__01,type,
c_27const_2eoption_2eSOME_27__01: $i > $i ).
tff(function_c_27const_2eoption_2eSOME_27__01,axiom,
( ( c_27const_2eoption_2eSOME_27__01('fmb_$i_1') = 'fmb_$i_1' )
& ( c_27const_2eoption_2eSOME_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_27const_2eoption_2eoption__CASE_27__03,type,
c_27const_2eoption_2eoption__CASE_27__03: ( $i * $i * $i ) > $i ).
tff(function_c_27const_2eoption_2eoption__CASE_27__03,axiom,
( ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27type_2ewordSem_2estack__frame_27__01,type,
c_27type_2ewordSem_2estack__frame_27__01: $i > $i ).
tff(function_c_27type_2ewordSem_2estack__frame_27__01,axiom,
( ( c_27type_2ewordSem_2estack__frame_27__01('fmb_$i_1') = 'fmb_$i_2' )
& ( c_27type_2ewordSem_2estack__frame_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_27type_2ewordSem_2eword__loc_27__01,type,
c_27type_2ewordSem_2eword__loc_27__01: $i > $i ).
tff(function_c_27type_2ewordSem_2eword__loc_27__01,axiom,
( ( c_27type_2ewordSem_2eword__loc_27__01('fmb_$i_1') = 'fmb_$i_2' )
& ( c_27type_2ewordSem_2eword__loc_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27type_2elist_2elist_27__01,type,
c_27type_2elist_2elist_27__01: $i > $i ).
tff(function_c_27type_2elist_2elist_27__01,axiom,
( ( c_27type_2elist_2elist_27__01('fmb_$i_1') = 'fmb_$i_2' )
& ( c_27type_2elist_2elist_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27const_2ewordSem_2eStackFrame_27__02,type,
c_27const_2ewordSem_2eStackFrame_27__02: ( $i * $i ) > $i ).
tff(function_c_27const_2ewordSem_2eStackFrame_27__02,axiom,
( ( c_27const_2ewordSem_2eStackFrame_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2ewordSem_2eStackFrame_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27const_2ewordSem_2eStackFrame_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2ewordSem_2eStackFrame_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_c_27const_2ewordSem_2estack__frame__CASE_27__02,type,
c_27const_2ewordSem_2estack__frame__CASE_27__02: ( $i * $i ) > $i ).
tff(function_c_27const_2ewordSem_2estack__frame__CASE_27__02,axiom,
( ( c_27const_2ewordSem_2estack__frame__CASE_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2ewordSem_2estack__frame__CASE_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( c_27const_2ewordSem_2estack__frame__CASE_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2ewordSem_2estack__frame__CASE_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_c_27const_2ewordProps_2es__frame__key__eq_27__02,type,
c_27const_2ewordProps_2es__frame__key__eq_27__02: ( $i * $i ) > $i ).
tff(function_c_27const_2ewordProps_2es__frame__key__eq_27__02,axiom,
( ( c_27const_2ewordProps_2es__frame__key__eq_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( c_27const_2ewordProps_2es__frame__key__eq_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( c_27const_2ewordProps_2es__frame__key__eq_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( c_27const_2ewordProps_2es__frame__key__eq_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_p__01,type,
p__01: $i > $o ).
tff(predicate_p__01,axiom,
( p__01('fmb_$i_1')
& ~ p__01('fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW876+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n001.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 14:39:48 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.28 Running first-order model finding
% 0.09/0.28 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
% 0.94/0.41 % (397202)Will run a generic schedule for satisfiability detection.
% 0.94/0.41 % (397208)% WARNING: option uhcvi not known.
% 0.94/0.41 % (397208)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2348520831:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.94/0.41 % (397209)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4009419147:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.94/0.41 % (397210)dis+10_1_sil=32000:sp=arity:random_seed=3767361628:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.94/0.41 % (397213)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2884681359:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.94/0.41 % (397211)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2685802378:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.94/0.41 % (397212)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1407268421:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.94/0.41 % (397207)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=652637773_2999 on theBenchmark for (2999ds/0Mi)
% 0.94/0.41 % TRYING [1]
% 0.94/0.41 % TRYING [2]
% 0.94/0.41 % Finite Model Found!
% 0.94/0.41 % SZS status CounterSatisfiable for theBenchmark
% 0.94/0.41 % (397207) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-397202-397207"...
% 0.94/0.41 % (397207)...printing done.
% 0.94/0.41 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.94/0.41 % (397207)------------------------------
% 0.94/0.41 % (397207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.41 % (397207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.41 % (397207)CaDiCaL version: 2.1.3
% 0.94/0.41 % (397207)Termination reason: Satisfiable
% 0.94/0.41 % (397207)Time elapsed: 0.074 s
% 0.94/0.41 % (397207)Peak memory usage: 14 MB
% 0.94/0.41 % (397207)Instructions burned: 88 (million)
% 0.94/0.41 % (397202)Success in time 0.117 s
% 0.94/0.41 % Vampire exiting
%------------------------------------------------------------------------------