%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT042-1 : 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 : n019.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 12:36:47 PM UTC 2026
% Result : Unsatisfiable 2.55s 1.37s
% Output : Refutation 2.55s
% 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(f796,axiom,
! [X0] :
( v_thesis____
| ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,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(f806,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f807,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f867,definition,
( spl0_1
<=> ! [X0] : ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,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(f868,plain,
( ! [X0] : ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,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,[],[f867]) ).
fof(f870,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f874,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f807,f870]) ).
fof(f875,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f796,f870,f867]) ).
fof(f886,plain,
( v_a____ = v_b____
| ~ spl0_1 ),
inference(resolution,[],[f791,f868]) ).
fof(f888,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f886,f806]) ).
fof(f889,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f888]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f874]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f875]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f889]) ).
cnf(s5,plain,
spl0_2,
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5]) ).
fof(f890,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT042-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 23:33:49 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 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
% 2.55/1.37 % (3529556)Input is clausal, will run a generic CNF schedule.
% 2.55/1.37 % (3529672)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1908479237:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.55/1.37 % (3529672)First to succeed.
% 2.55/1.37 % (3529672)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3529556"
% 2.55/1.37 % (3529673)dis-21_1_sil=8000:lcm=predicate:random_seed=1450678562: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)
% 2.55/1.37 % (3529668)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2763962035:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.55/1.37 % (3529667)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=3778595386:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.55/1.37 % (3529669)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1312340938:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.55/1.37 % (3529670)lrs+10_1_sil=8000:sp=occurrence:random_seed=1895051155:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.55/1.37 % (3529671)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2846532428:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.55/1.37 % (3529673)Instruction limit reached!
% 2.55/1.37 % (3529673)------------------------------
% 2.55/1.37 % (3529673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.37 % (3529673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.37 % (3529673)CaDiCaL version: 2.1.3
% 2.55/1.37 % (3529673)Termination reason: Instruction limit
% 2.55/1.37 % (3529673)Termination phase: Saturation
% 2.55/1.37 % (3529673)Time elapsed: 0.064 s
% 2.55/1.37 % (3529673)Peak memory usage: 89 MB
% 2.55/1.37 % (3529673)Instructions burned: 117 (million)
% 2.55/1.37 % (3529670)Instruction limit reached!
% 2.55/1.37 % (3529670)------------------------------
% 2.55/1.37 % (3529670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.37 % (3529670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.37 % (3529670)CaDiCaL version: 2.1.3
% 2.55/1.37 % (3529670)Termination reason: Instruction limit
% 2.55/1.37 % (3529670)Termination phase: Saturation
% 2.55/1.37 % (3529670)Time elapsed: 0.070 s
% 2.55/1.37 % (3529670)Peak memory usage: 89 MB
% 2.55/1.37 % (3529670)Instructions burned: 108 (million)
% 2.55/1.37 % (3529671)Instruction limit reached!
% 2.55/1.37 % (3529671)------------------------------
% 2.55/1.37 % (3529671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.37 % (3529671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.37 % (3529671)CaDiCaL version: 2.1.3
% 2.55/1.37 % (3529671)Termination reason: Instruction limit
% 2.55/1.37 % (3529671)Termination phase: Saturation
% 2.55/1.37 % (3529671)Time elapsed: 0.076 s
% 2.55/1.37 % (3529671)Peak memory usage: 89 MB
% 2.55/1.37 % (3529671)Instructions burned: 114 (million)
% 2.55/1.37 % (3529672)Refutation found. Thanks to Tanya!
% 2.55/1.37 % SZS status Unsatisfiable for theBenchmark
% 2.55/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/1.37 % (3529672)------------------------------
% 2.55/1.37 % (3529672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.37 % (3529672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.37 % (3529672)CaDiCaL version: 2.1.3
% 2.55/1.37 % (3529672)Termination reason: Refutation
% 2.55/1.37 % (3529672)Time elapsed: 0.007 s
% 2.55/1.37 % (3529672)Peak memory usage: 90 MB
% 2.55/1.37 % (3529672)Instructions burned: 22 (million)
% 2.55/1.37 % (3529672)------------------------------
% 2.55/1.37 % (3529672)------------------------------
% 2.55/1.37 % (3529556)Success in time 0.276 s
% 2.55/1.37 % Vampire exiting
%------------------------------------------------------------------------------