%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:36:54 PM UTC 2026
% Result : Unsatisfiable 3.68s 1.43s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 9 unt; 2 def)
% Number of atoms : 27 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 7 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f791,axiom,
! [X0,X1] :
( c_List_Odistinct(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X0,X1),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_third__alt_0) ).
fof(f794,axiom,
! [X0] :
( v_thesis____
| ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
fof(f807,axiom,
v_c____ != v_d____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f809,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f875,definition,
( spl0_1
<=> ! [X0] : ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f876,plain,
( ! [X0] : ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f878,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f882,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f809,f878]) ).
fof(f883,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f794,f878,f875]) ).
fof(f894,plain,
( v_c____ = v_d____
| ~ spl0_1 ),
inference(resolution,[],[f791,f876]) ).
fof(f896,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f894,f807]) ).
fof(f897,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f896]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f882]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f883]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f897]) ).
cnf(s5,plain,
spl0_2,
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5]) ).
fof(f898,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 23:42:54 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.68/1.43 % (2855945)Input is clausal, will run a generic CNF schedule.
% 3.68/1.43 % (2855952)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=546143554:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.68/1.43 % (2855950)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1392052319:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.68/1.43 % (2855955)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=638224846:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.68/1.43 % (2855953)lrs+10_1_sil=8000:sp=occurrence:random_seed=476959024:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.68/1.43 % (2855954)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1664199186:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.68/1.43 % (2855956)dis-21_1_sil=8000:lcm=predicate:random_seed=159495903:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.68/1.43 % (2855951)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3369276038:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.68/1.43 % (2855955)First to succeed.
% 3.68/1.43 % (2855955)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2855945"
% 3.68/1.43 % (2855956)Instruction limit reached!
% 3.68/1.43 % (2855956)------------------------------
% 3.68/1.43 % (2855956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.43 % (2855956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.43 % (2855956)CaDiCaL version: 2.1.3
% 3.68/1.43 % (2855956)Termination reason: Instruction limit
% 3.68/1.43 % (2855956)Termination phase: Saturation
% 3.68/1.43 % (2855956)Time elapsed: 0.064 s
% 3.68/1.43 % (2855956)Peak memory usage: 89 MB
% 3.68/1.43 % (2855956)Instructions burned: 118 (million)
% 3.68/1.43 % (2855953)Instruction limit reached!
% 3.68/1.43 % (2855953)------------------------------
% 3.68/1.43 % (2855953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.43 % (2855953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.43 % (2855953)CaDiCaL version: 2.1.3
% 3.68/1.43 % (2855953)Termination reason: Instruction limit
% 3.68/1.43 % (2855953)Termination phase: Saturation
% 3.68/1.43 % (2855953)Time elapsed: 0.070 s
% 3.68/1.43 % (2855953)Peak memory usage: 89 MB
% 3.68/1.43 % (2855953)Instructions burned: 108 (million)
% 3.68/1.43 % (2855954)Instruction limit reached!
% 3.68/1.43 % (2855954)------------------------------
% 3.68/1.43 % (2855954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.43 % (2855954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.43 % (2855954)CaDiCaL version: 2.1.3
% 3.68/1.43 % (2855954)Termination reason: Instruction limit
% 3.68/1.43 % (2855954)Termination phase: Saturation
% 3.68/1.43 % (2855954)Time elapsed: 0.077 s
% 3.68/1.43 % (2855954)Peak memory usage: 89 MB
% 3.68/1.43 % (2855954)Instructions burned: 114 (million)
% 3.68/1.43 % (2855964)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=112425768:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.68/1.43 % (2855965)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=463419932:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.68/1.43 % (2855966)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=373608592:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.68/1.43 % (2855964)Refutation not found, incomplete strategy
% 3.68/1.43 % (2855964)------------------------------
% 3.68/1.43 % (2855964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.43 % (2855964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.43 % (2855964)CaDiCaL version: 2.1.3
% 3.68/1.43 % (2855964)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.43 % (2855964)Time elapsed: 0.005 s
% 3.68/1.43 % (2855964)Peak memory usage: 88 MB
% 3.68/1.43 % (2855964)Instructions burned: 6 (million)
% 3.68/1.43 % (2855966)Refutation not found, incomplete strategy
% 3.68/1.43 % (2855966)------------------------------
% 3.68/1.43 % (2855966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.43 % (2855966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.43 % (2855966)CaDiCaL version: 2.1.3
% 3.68/1.43 % (2855966)Termination reason: Refutation not found, incomplete strategy
% 3.68/1.43 % (2855966)Time elapsed: 0.013 s
% 3.68/1.43 % (2855966)Peak memory usage: 88 MB
% 3.68/1.43 % (2855966)Instructions burned: 21 (million)
% 3.68/1.43 % (2855965)Also succeeded, but the first one will report.
% 3.68/1.43 % (2855955)Refutation found. Thanks to Tanya!
% 3.68/1.43 % SZS status Unsatisfiable for theBenchmark
% 3.68/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.43 % (2855955)------------------------------
% 3.68/1.43 % (2855955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.43 % (2855955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.43 % (2855955)CaDiCaL version: 2.1.3
% 3.68/1.43 % (2855955)Termination reason: Refutation
% 3.68/1.43 % (2855955)Time elapsed: 0.013 s
% 3.68/1.43 % (2855955)Peak memory usage: 89 MB
% 3.68/1.43 % (2855955)Instructions burned: 22 (million)
% 3.68/1.43 % (2855955)------------------------------
% 3.68/1.43 % (2855955)------------------------------
% 3.68/1.43 % (2855945)Success in time 0.462 s
% 3.68/1.43 % Vampire exiting
%------------------------------------------------------------------------------