%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET821-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:42:00 PM UTC 2026
% Result : Unsatisfiable 3.69s 6.79s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 10 unt; 2 def)
% Number of atoms : 49 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,axiom,
! [X0,X1] :
( ~ c_less(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f227,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f375,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f428,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f1434,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1436,negated_conjecture,
! [X0] :
( c_in(v_c,X0,tc_IntDef_Oint)
| ~ c_in(v_b,X0,tc_IntDef_Oint)
| c_in(v_a,X0,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1704,plain,
! [X0] :
( c_in(v_a,c_insert(X0,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_in(v_b,c_insert(X0,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| v_c = X0 ),
inference(resolution,[],[f375,f1436]) ).
fof(f1706,plain,
! [X0] :
( ~ c_in(v_b,c_insert(X0,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
| v_c = X0
| v_a = X0 ),
inference(resolution,[],[f1704,f375]) ).
fof(f1708,plain,
( v_b = v_c
| v_a = v_b ),
inference(resolution,[],[f1706,f227]) ).
fof(f1711,definition,
( spl0_1
<=> v_a = v_b ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1712,plain,
( v_a = v_b
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1714,definition,
( spl0_2
<=> v_b = v_c ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1715,plain,
( v_b = v_c
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1716,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1708,f1714,f1711]) ).
fof(f1719,plain,
( c_less(v_b,v_b,tc_IntDef_Oint)
| ~ spl0_2 ),
inference(superposition,[],[f1435,f1715]) ).
fof(f1720,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| ~ spl0_2 ),
inference(resolution,[],[f1719,f170]) ).
fof(f1721,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1720,f428]) ).
fof(f1722,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1721]) ).
fof(f1724,plain,
( c_less(v_b,v_b,tc_IntDef_Oint)
| ~ spl0_1 ),
inference(superposition,[],[f1434,f1712]) ).
fof(f1725,plain,
( ~ class_Orderings_Oorder(tc_IntDef_Oint)
| ~ spl0_1 ),
inference(resolution,[],[f1724,f170]) ).
fof(f1726,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1725,f428]) ).
fof(f1727,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1726]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1716]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f1722]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f1727]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f1728,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET821-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.61 % Computer : n020.cluster.edu
% 0.12/5.61 % Model : x86_64 x86_64
% 0.12/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.61 % Memory : 8046.5625MB
% 0.12/5.61 % OS : Linux 6.8.0-71-generic
% 0.12/5.61 % CPULimit : 300
% 0.12/5.61 % WCLimit : 300
% 0.12/5.61 % DateTime : Mon Sep 28 02:55:57 UTC 2026
% 0.12/5.62 % CPUTime :
% 0.12/5.62 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.65 Running first-order theorem proving
% 0.12/5.65 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
% 3.69/6.78 % (3985813)Input is clausal, will run a generic CNF schedule.
% 3.69/6.78 % (3985824)dis-21_1_sil=8000:lcm=predicate:random_seed=2150344895: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)
% 3.69/6.78 % (3985822)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=863118334:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.69/6.78 % (3985820)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3187932071:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.69/6.78 % (3985818)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=3209661718:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.69/6.78 % (3985821)lrs+10_1_sil=8000:sp=occurrence:random_seed=255760200:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.69/6.78 % (3985823)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1008156973:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.69/6.78 % (3985819)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=275803959:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.69/6.78 % (3985824)Instruction limit reached!
% 3.69/6.78 % (3985824)------------------------------
% 3.69/6.78 % (3985824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/6.78 % (3985824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/6.78 % (3985824)CaDiCaL version: 2.1.3
% 3.69/6.78 % (3985824)Termination reason: Instruction limit
% 3.69/6.78 % (3985824)Termination phase: Saturation
% 3.69/6.78 % (3985824)Time elapsed: 0.039 s
% 3.69/6.78 % (3985824)Peak memory usage: 90 MB
% 3.69/6.78 % (3985824)Instructions burned: 121 (million)
% 3.69/6.78 % (3985821)Refutation not found, incomplete strategy
% 3.69/6.78 % (3985821)------------------------------
% 3.69/6.78 % (3985821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/6.78 % (3985821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/6.78 % (3985821)CaDiCaL version: 2.1.3
% 3.69/6.78 % (3985821)Termination reason: Refutation not found, incomplete strategy
% 3.69/6.78 % (3985821)Time elapsed: 0.003 s
% 3.69/6.78 % (3985821)Peak memory usage: 88 MB
% 3.69/6.78 % (3985821)Instructions burned: 3 (million)
% 3.69/6.78 % (3985822)First to succeed.
% 3.69/6.78 % (3985822)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3985813"
% 3.69/6.78 % (3985823)Also succeeded, but the first one will report.
% 3.69/6.78 % (3985832)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=4288928629:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.69/6.78 % (3985832)Refutation not found, incomplete strategy
% 3.69/6.78 % (3985832)------------------------------
% 3.69/6.78 % (3985832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/6.78 % (3985832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/6.78 % (3985832)CaDiCaL version: 2.1.3
% 3.69/6.78 % (3985832)Termination reason: Refutation not found, incomplete strategy
% 3.69/6.79 % (3985832)Time elapsed: 0.002 s
% 3.69/6.79 % (3985832)Peak memory usage: 88 MB
% 3.69/6.79 % (3985832)Instructions burned: 3 (million)
% 3.69/6.79 % (3985832)------------------------------
% 3.69/6.79 % (3985832)------------------------------
% 3.69/6.79 % (3985821)------------------------------
% 3.69/6.79 % (3985821)------------------------------
% 3.69/6.79 % (3985822)Refutation found. Thanks to Tanya!
% 3.69/6.79 % SZS status Unsatisfiable for theBenchmark
% 3.69/6.79 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/6.79 % (3985822)------------------------------
% 3.69/6.79 % (3985822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/6.79 % (3985822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/6.79 % (3985822)CaDiCaL version: 2.1.3
% 3.69/6.79 % (3985822)Termination reason: Refutation
% 3.69/6.79 % (3985822)Time elapsed: 0.011 s
% 3.69/6.79 % (3985822)Peak memory usage: 90 MB
% 3.69/6.79 % (3985822)Instructions burned: 16 (million)
% 3.69/6.79 % (3985822)------------------------------
% 3.69/6.79 % (3985822)------------------------------
% 3.69/6.79 % (3985813)Success in time 0.501 s
% 3.69/6.79 % Vampire exiting
%------------------------------------------------------------------------------