%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT024-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:37:24 PM UTC 2026
% Result : Unsatisfiable 0.76s 0.56s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 31 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 33 ( 17 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f767,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1)))
| ~ c_Relation_Oirrefl(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__def_0) ).
fof(f776,negated_conjecture,
! [X0] : c_Relation_Otrans(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f777,negated_conjecture,
! [X0] : c_Relation_Oirrefl(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f778,negated_conjecture,
! [X0] : c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f779,negated_conjecture,
hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f780,negated_conjecture,
~ hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f784,negated_conjecture,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| hBOOL(c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| X0 = X1
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(X2,v_Pa(X2)),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f952,plain,
( hBOOL(c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| v_a = v_b
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(resolution,[],[f784,f779]) ).
fof(f953,plain,
( v_a = v_b
| ~ c_Relation_Ototal__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(forward_subsumption_resolution,[],[f952,f780]) ).
fof(f954,plain,
( v_a = v_b
| ~ c_Relation_Oirrefl(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(forward_subsumption_resolution,[],[f953,f778]) ).
fof(f955,plain,
( v_a = v_b
| ~ c_Relation_Otrans(hAPP(v_P,v_Pa(v_P)),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(forward_subsumption_resolution,[],[f954,f777]) ).
fof(f956,plain,
v_a = v_b,
inference(forward_subsumption_resolution,[],[f955,f776]) ).
fof(f1595,plain,
hBOOL(c_in(c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
inference(superposition,[],[f779,f956]) ).
fof(f1621,plain,
~ c_Relation_Oirrefl(hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt),
inference(resolution,[],[f1595,f767]) ).
fof(f1623,plain,
$false,
inference(forward_subsumption_resolution,[],[f1621,f777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT024-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:29:58 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.76/0.56 % (3446946)Will run a generic schedule for satisfiability detection.
% 0.76/0.56 % (3446957)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3144731034:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.76/0.56 % (3446952)% WARNING: option uhcvi not known.
% 0.76/0.56 % (3446951)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4124485740_2999 on theBenchmark for (2999ds/0Mi)
% 0.76/0.56 % (3446952)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1137167265:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.76/0.56 % (3446953)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1575540526:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.76/0.56 % (3446954)dis+10_1_sil=32000:sp=arity:random_seed=1836066903:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.76/0.56 % (3446955)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2806091474:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.76/0.56 % (3446956)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2394156871:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.76/0.56 % (3446957)Instruction limit reached!
% 0.76/0.56 % (3446957)------------------------------
% 0.76/0.56 % (3446957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.56 % (3446957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.56 % (3446957)CaDiCaL version: 2.1.3
% 0.76/0.56 % (3446957)Termination reason: Instruction limit
% 0.76/0.56 % (3446957)Termination phase: Saturation
% 0.76/0.56 % (3446957)Time elapsed: 0.055 s
% 0.76/0.56 % (3446957)Peak memory usage: 13 MB
% 0.76/0.56 % (3446957)Instructions burned: 160 (million)
% 0.76/0.56 % (3446953) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3446946-3446953"...
% 0.76/0.56 % (3446965)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=972924713:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.76/0.56 % (3446953)...printing done.
% 0.76/0.56 % (3446952) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3446946-3446952"...
% 0.76/0.56 % (3446953)Refutation found. Thanks to Tanya!
% 0.76/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.76/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.76/0.56 % (3446953)------------------------------
% 0.76/0.56 % (3446953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.56 % (3446953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.56 % (3446953)CaDiCaL version: 2.1.3
% 0.76/0.56 % (3446953)Termination reason: Refutation
% 0.76/0.56 % (3446953)Time elapsed: 0.059 s
% 0.76/0.56 % (3446953)Peak memory usage: 15 MB
% 0.76/0.56 % (3446953)Instructions burned: 103 (million)
% 0.76/0.56 % (3446946)Success in time 0.136 s
% 0.76/0.56 % Vampire exiting
%------------------------------------------------------------------------------