%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET830-2 : 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 : 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 12:42:03 PM UTC 2026
% Result : Unsatisfiable 3.43s 1.35s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 10 unt; 2 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 24 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| ~ c_in(X0,X3,X2)
| c_in(X0,c_inter(X3,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f5,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f6,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f7,negated_conjecture,
c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f8,negated_conjecture,
c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f9,negated_conjecture,
~ c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f10,negated_conjecture,
! [X0] :
( c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_lessequals(X0,v_Z,tc_set(t_a))
| ~ c_lessequals(X0,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f13,plain,
! [X0] :
( ~ c_in(v_x,X0,t_a)
| c_in(v_x,c_inter(X0,v_Y,t_a),t_a) ),
inference(resolution,[],[f3,f7]) ).
fof(f45,plain,
c_in(v_x,c_inter(v_Z,v_Y,t_a),t_a),
inference(resolution,[],[f13,f8]) ).
fof(f65,plain,
! [X0] :
( ~ c_lessequals(c_inter(v_Z,v_Y,t_a),X0,tc_set(t_a))
| c_in(v_x,X0,t_a) ),
inference(resolution,[],[f45,f4]) ).
fof(f177,plain,
( c_in(v_x,v_X,t_a)
| ~ c_lessequals(c_inter(v_Z,v_Y,t_a),v_Z,tc_set(t_a))
| ~ c_lessequals(c_inter(v_Z,v_Y,t_a),v_Y,tc_set(t_a)) ),
inference(resolution,[],[f65,f10]) ).
fof(f180,plain,
( ~ c_lessequals(c_inter(v_Z,v_Y,t_a),v_Z,tc_set(t_a))
| ~ c_lessequals(c_inter(v_Z,v_Y,t_a),v_Y,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[],[f177,f9]) ).
fof(f182,definition,
( spl0_7
<=> c_lessequals(c_inter(v_Z,v_Y,t_a),v_Y,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f184,plain,
( ~ c_lessequals(c_inter(v_Z,v_Y,t_a),v_Y,tc_set(t_a))
| spl0_7 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f186,definition,
( spl0_8
<=> c_lessequals(c_inter(v_Z,v_Y,t_a),v_Z,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f188,plain,
( ~ c_lessequals(c_inter(v_Z,v_Y,t_a),v_Z,tc_set(t_a))
| spl0_8 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f180,f186,f182]) ).
fof(f190,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),v_Y,t_a)
| spl0_7 ),
inference(resolution,[],[f184,f6]) ).
fof(f191,plain,
( c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),c_inter(v_Z,v_Y,t_a),t_a)
| spl0_7 ),
inference(resolution,[],[f184,f5]) ).
fof(f448,plain,
( c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),v_Y,t_a)
| spl0_7 ),
inference(resolution,[],[f191,f1]) ).
fof(f452,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f448,f190]) ).
fof(f453,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f455,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),v_Z,t_a)
| spl0_8 ),
inference(resolution,[],[f188,f6]) ).
fof(f456,plain,
( c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),c_inter(v_Z,v_Y,t_a),t_a)
| spl0_8 ),
inference(resolution,[],[f188,f5]) ).
fof(f659,plain,
( c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),v_Z,t_a)
| spl0_8 ),
inference(resolution,[],[f456,f2]) ).
fof(f664,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f659,f455]) ).
fof(f665,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f664]) ).
cnf(s5,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f189]) ).
cnf(s10,plain,
spl0_7,
inference(sat_conversion,[],[f453]) ).
cnf(s20,plain,
spl0_8,
inference(sat_conversion,[],[f665]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s5,s20,s10]) ).
fof(f666,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET830-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 02:58:25 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.43/1.35 % (2951797)Input is clausal, will run a generic CNF schedule.
% 3.43/1.35 % (2951804)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=405354433:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.43/1.35 % (2951805)lrs+10_1_sil=8000:sp=occurrence:random_seed=824880608:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.43/1.35 % (2951808)dis-21_1_sil=8000:lcm=predicate:random_seed=541024315: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)
% 3.43/1.35 % (2951803)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3066834748:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.43/1.35 % (2951807)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1808456201:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.43/1.35 % (2951802)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=2389305495:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.43/1.35 % (2951806)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=863614878:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.43/1.35 % (2951806)Refutation not found, incomplete strategy
% 3.43/1.35 % (2951806)------------------------------
% 3.43/1.35 % (2951806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.35 % (2951806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.35 % (2951806)CaDiCaL version: 2.1.3
% 3.43/1.35 % (2951805)Refutation not found, incomplete strategy
% 3.43/1.35 % (2951805)------------------------------
% 3.43/1.35 % (2951805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.35 % (2951806)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.35 % (2951806)Time elapsed: 0.001 s
% 3.43/1.35 % (2951806)Peak memory usage: 87 MB
% 3.43/1.35 % (2951805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.35 % (2951805)CaDiCaL version: 2.1.3
% 3.43/1.35 % (2951805)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.35 % (2951805)Time elapsed: 0.001 s
% 3.43/1.35 % (2951805)Peak memory usage: 88 MB
% 3.43/1.35 % (2951807)First to succeed.
% 3.43/1.35 % (2951807)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2951797"
% 3.43/1.35 % (2951808)Instruction limit reached!
% 3.43/1.35 % (2951808)------------------------------
% 3.43/1.35 % (2951808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.35 % (2951808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.35 % (2951808)CaDiCaL version: 2.1.3
% 3.43/1.35 % (2951808)Termination reason: Instruction limit
% 3.43/1.35 % (2951808)Termination phase: Saturation
% 3.43/1.35 % (2951808)Time elapsed: 0.061 s
% 3.43/1.35 % (2951808)Peak memory usage: 88 MB
% 3.43/1.35 % (2951808)Instructions burned: 117 (million)
% 3.43/1.35 % (2951816)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=2967119019:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.43/1.35 % (2951816)Refutation not found, incomplete strategy
% 3.43/1.35 % (2951816)------------------------------
% 3.43/1.35 % (2951816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.35 % (2951816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.35 % (2951816)CaDiCaL version: 2.1.3
% 3.43/1.35 % (2951816)Termination reason: Refutation not found, incomplete strategy
% 3.43/1.35 % (2951816)Time elapsed: 0.001 s
% 3.43/1.35 % (2951816)Peak memory usage: 87 MB
% 3.43/1.35 % (2951805)------------------------------
% 3.43/1.35 % (2951805)------------------------------
% 3.43/1.35 % (2951806)------------------------------
% 3.43/1.35 % (2951806)------------------------------
% 3.43/1.35 % (2951807)Refutation found. Thanks to Tanya!
% 3.43/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.43/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/1.35 % (2951807)------------------------------
% 3.43/1.35 % (2951807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.43/1.35 % (2951807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.43/1.35 % (2951807)CaDiCaL version: 2.1.3
% 3.43/1.35 % (2951807)Termination reason: Refutation
% 3.43/1.35 % (2951807)Time elapsed: 0.011 s
% 3.43/1.35 % (2951807)Peak memory usage: 89 MB
% 3.43/1.35 % (2951807)Instructions burned: 15 (million)
% 3.43/1.35 % (2951807)------------------------------
% 3.43/1.35 % (2951807)------------------------------
% 3.43/1.35 % (2951797)Success in time 0.413 s
% 3.43/1.35 % Vampire exiting
%------------------------------------------------------------------------------