%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT159+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:37:37 PM UTC 2026
% Result : ContradictoryAxioms 1.72s 0.73s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 38 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 11 |; 0 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 54 ( 52 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__indi) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( c_Finite__Set_Ofinite(X3,X2)
=> c_Finite__Set_Ofinite(X1,c_Set_Oimage(X3,X1,X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__imageI) ).
fof(f173,axiom,
! [X0] :
( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
<=> ? [X1] :
! [X2] :
( c_member(tc_Nat_Onat,X2,X0)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_finite__nat__set__iff__bounded__le) ).
fof(f209,axiom,
! [X0,X1,X2,X3,X4] :
( X4 = hAPP(X3,X2)
=> c_member(X1,X4,c_Set_Oimage(X0,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_range__eqI) ).
fof(f243,axiom,
! [X0] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__n__not__le__n) ).
fof(f572,plain,
! [X0,X1,X2,X3] :
( c_Finite__Set_Ofinite(X1,c_Set_Oimage(X3,X1,X0,X2))
| ~ c_Finite__Set_Ofinite(X3,X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f793,plain,
! [X0] :
( c_Finite__Set_Ofinite(tc_Nat_Onat,X0)
<=> ? [X1] :
! [X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
| ~ c_member(tc_Nat_Onat,X2,X0) ) ),
inference(ennf_transformation,[],[f173]) ).
fof(f819,plain,
! [X0,X1,X2,X3,X4] :
( c_member(X1,X4,c_Set_Oimage(X0,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))))
| hAPP(X3,X2) != X4 ),
inference(ennf_transformation,[],[f209]) ).
fof(f1079,plain,
c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
inference(cnf_transformation,[],[f12]) ).
fof(f1080,plain,
! [X2,X3,X0,X1] :
( ~ c_Finite__Set_Ofinite(X3,X2)
| c_Finite__Set_Ofinite(X1,c_Set_Oimage(X3,X1,X0,X2)) ),
inference(cnf_transformation,[],[f572]) ).
fof(f1298,plain,
! [X2,X0] :
( ~ c_member(tc_Nat_Onat,X2,X0)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sK13(X0))
| ~ c_Finite__Set_Ofinite(tc_Nat_Onat,X0) ),
inference(cnf_transformation,[],[f793]) ).
fof(f1354,plain,
! [X2,X3,X0,X1,X4] :
( hAPP(X3,X2) != X4
| c_member(X1,X4,c_Set_Oimage(X0,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))) ),
inference(cnf_transformation,[],[f819]) ).
fof(f1402,plain,
! [X0] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0),X0),
inference(cnf_transformation,[],[f243]) ).
fof(f1867,plain,
! [X2,X3,X0,X1] : c_member(X1,hAPP(X3,X2),c_Set_Oimage(X0,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
inference(equality_resolution,[],[f1354]) ).
fof(f1929,plain,
~ c_Finite__Set_Ofinite(tc_Arrow__Order__Mirabelle_Oindi,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))),
inference(consistent_polarity_flipping,[],[f1079]) ).
fof(f1930,plain,
! [X2,X3,X0,X1] :
( ~ c_Finite__Set_Ofinite(X1,c_Set_Oimage(X3,X1,X0,X2))
| c_Finite__Set_Ofinite(X3,X2) ),
inference(consistent_polarity_flipping,[],[f1080]) ).
fof(f2100,plain,
! [X2,X0] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,sK13(X0))
| c_member(tc_Nat_Onat,X2,X0)
| c_Finite__Set_Ofinite(tc_Nat_Onat,X0) ),
inference(consistent_polarity_flipping,[],[f1298]) ).
fof(f2135,plain,
! [X2,X3,X0,X1] : ~ c_member(X1,hAPP(X3,X2),c_Set_Oimage(X0,X1,X3,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
inference(consistent_polarity_flipping,[],[f1867]) ).
fof(f3445,plain,
! [X0] :
( c_member(tc_Nat_Onat,hAPP(c_Nat_OSuc,sK13(X0)),X0)
| c_Finite__Set_Ofinite(tc_Nat_Onat,X0) ),
inference(resolution,[],[f2100,f1402]) ).
fof(f10792,plain,
! [X0] : c_Finite__Set_Ofinite(tc_Nat_Onat,c_Set_Oimage(X0,tc_Nat_Onat,c_Nat_OSuc,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)))),
inference(resolution,[],[f3445,f2135]) ).
fof(f19657,plain,
! [X0] : c_Finite__Set_Ofinite(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))),
inference(resolution,[],[f10792,f1930]) ).
fof(f19697,plain,
$false,
inference(backward_subsumption_resolution,[],[f1929,f19657]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT159+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:51:31 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 1.72/0.73 % (2888677)Will run a generic schedule for satisfiability detection.
% 1.72/0.73 % (2888683)% WARNING: option uhcvi not known.
% 1.72/0.73 % (2888683)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1006863803:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.72/0.73 % (2888682)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3589677617_2999 on theBenchmark for (2999ds/0Mi)
% 1.72/0.73 % (2888684)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3218358343:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.72/0.73 % (2888685)dis+10_1_sil=32000:sp=arity:random_seed=8523738:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.72/0.73 % (2888686)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=977318723:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.72/0.73 % (2888688)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=633050561:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.72/0.73 % (2888687)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3027671011:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.72/0.73 % (2888685)Instruction limit reached!
% 1.72/0.73 % (2888685)------------------------------
% 1.72/0.73 % (2888685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.73 % (2888685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.73 % (2888685)CaDiCaL version: 2.1.3
% 1.72/0.73 % (2888685)Termination reason: Instruction limit
% 1.72/0.73 % (2888685)Termination phase: Saturation
% 1.72/0.73 % (2888685)Time elapsed: 0.063 s
% 1.72/0.73 % (2888685)Peak memory usage: 13 MB
% 1.72/0.73 % (2888685)Instructions burned: 104 (million)
% 1.72/0.73 % (2888686)Instruction limit reached!
% 1.72/0.73 % (2888686)------------------------------
% 1.72/0.73 % (2888686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.73 % (2888686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.73 % (2888686)CaDiCaL version: 2.1.3
% 1.72/0.73 % (2888686)Termination reason: Instruction limit
% 1.72/0.73 % (2888686)Termination phase: Saturation
% 1.72/0.73 % (2888686)Time elapsed: 0.070 s
% 1.72/0.73 % (2888686)Peak memory usage: 14 MB
% 1.72/0.73 % (2888686)Instructions burned: 117 (million)
% 1.72/0.73 % (2888687)Instruction limit reached!
% 1.72/0.73 % (2888687)------------------------------
% 1.72/0.73 % (2888687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.73 % (2888687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.73 % (2888687)CaDiCaL version: 2.1.3
% 1.72/0.73 % (2888687)Termination reason: Instruction limit
% 1.72/0.73 % (2888687)Termination phase: Saturation
% 1.72/0.73 % (2888687)Time elapsed: 0.080 s
% 1.72/0.73 % (2888687)Peak memory usage: 14 MB
% 1.72/0.73 % (2888687)Instructions burned: 131 (million)
% 1.72/0.73 % (2888696)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2575437704:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.72/0.73 % (2888697)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3244220894:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.72/0.73 % TRYING [1]
% 1.72/0.73 % (2888698)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=2828183765:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.72/0.73 % (2888688)Instruction limit reached!
% 1.72/0.73 % (2888688)------------------------------
% 1.72/0.73 % (2888688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.73 % (2888688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.73 % (2888688)CaDiCaL version: 2.1.3
% 1.72/0.73 % (2888688)Termination reason: Instruction limit
% 1.72/0.73 % (2888688)Termination phase: Saturation
% 1.72/0.73 % (2888688)Time elapsed: 0.102 s
% 1.72/0.73 % (2888688)Peak memory usage: 15 MB
% 1.72/0.73 % (2888688)Instructions burned: 159 (million)
% 1.72/0.73 % TRYING [2]
% 1.72/0.73 % (2888702)ott-21_1_sil=16000:fs=off:random_seed=3063605489:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.72/0.73 % TRYING [3]
% 1.72/0.73 % (2888697)Instruction limit reached!
% 1.72/0.73 % (2888697)------------------------------
% 1.72/0.73 % (2888697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.73 % (2888697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.73 % (2888697)CaDiCaL version: 2.1.3
% 1.72/0.73 % (2888697)Termination reason: Instruction limit
% 1.72/0.73 % (2888697)Termination phase: Saturation
% 1.72/0.73 % (2888697)Time elapsed: 0.078 s
% 1.72/0.73 % (2888697)Peak memory usage: 14 MB
% 1.72/0.73 % (2888697)Instructions burned: 132 (million)
% 1.72/0.73 % TRYING [1]
% 1.72/0.73 % TRYING [2]
% 1.72/0.73 % (2888704)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2525597065:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.72/0.73 % (2888702)Instruction limit reached!
% 1.72/0.73 % (2888702)------------------------------
% 1.72/0.73 % (2888702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.73 % (2888702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.73 % (2888702)CaDiCaL version: 2.1.3
% 1.72/0.73 % (2888702)Termination reason: Instruction limit
% 1.72/0.73 % (2888702)Termination phase: Saturation
% 1.72/0.73 % (2888702)Time elapsed: 0.096 s
% 1.72/0.73 % (2888702)Peak memory usage: 14 MB
% 1.72/0.73 % (2888702)Instructions burned: 180 (million)
% 1.72/0.73 % (2888706)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3296808492:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.72/0.73 % TRYING [3]
% 1.72/0.73 % (2888683) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2888677-2888683"...
% 1.72/0.73 % (2888683)...printing done.
% 1.72/0.73 % (2888683)Refutation found. Thanks to Tanya!
% 1.72/0.73 % SZS status ContradictoryAxioms for theBenchmark
% 1.72/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.73 % (2888683)------------------------------
% 1.72/0.73 % (2888683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.73 % (2888683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.73 % (2888683)CaDiCaL version: 2.1.3
% 1.72/0.73 % (2888683)Termination reason: Refutation
% 1.72/0.73 % (2888683)Time elapsed: 0.265 s
% 1.72/0.73 % (2888683)Peak memory usage: 18 MB
% 1.72/0.73 % (2888683)Instructions burned: 783 (million)
% 1.72/0.73 % (2888677)Success in time 0.314 s
% 1.72/0.73 % Vampire exiting
%------------------------------------------------------------------------------