%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL430-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:52:23 AM UTC 2026
% Result : Unsatisfiable 5.95s 2.18s
% Output : Refutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1446,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_PropLog_Othms(c_minus(X1,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3))
| ~ c_lessequals(X1,X4,tc_set(tc_PropLog_Opl(X3)))
| c_in(X0,c_PropLog_Othms(c_minus(X4,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_ODiff__weaken__left_0) ).
fof(f1449,axiom,
! [X2,X3,X0,X1] : c_lessequals(c_PropLog_Ohyps(X0,c_insert(X1,X2,X3),X3),c_insert(c_PropLog_Opl_Ovar(X1,X3),c_minus(c_PropLog_Ohyps(X0,X2,X3),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X1,X3),c_PropLog_Opl_Ofalse,X3),c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ohyps__insert_0) ).
fof(f1450,axiom,
! [X2,X3,X0,X1] : c_lessequals(c_minus(X0,X1,tc_set(X2)),c_insert(X3,c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),X2),tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__same_0) ).
fof(f1451,axiom,
! [X2,X3,X0,X1,X4] : c_lessequals(c_minus(c_insert(X0,c_minus(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)),X3),X4,tc_set(X3)),c_insert(X0,c_minus(X1,c_insert(X2,X4,X3),tc_set(X3)),X3),tc_set(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__subset2_0) ).
fof(f1453,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X3),X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X0,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle__rule_0) ).
fof(f1454,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_lessequals(X1,X3,tc_set(tc_PropLog_Opl(X2)))
| c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left_0) ).
fof(f1458,negated_conjecture,
! [X0] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1460,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1501,plain,
! [X0,X1] :
( ~ c_lessequals(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),X1,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(X1,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1454,f1458]) ).
fof(f1504,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_insert(X0,c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(X0,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1501,f1450]) ).
fof(f1526,plain,
! [X0,X1] :
( ~ c_lessequals(c_PropLog_Ohyps(v_p,X0,t_a),X1,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(c_minus(X1,v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1446,f1458]) ).
fof(f1529,plain,
! [X0,X1] :
( ~ c_in(v_p,c_PropLog_Othms(c_insert(X0,c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1453,f1504]) ).
fof(f1533,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Ovar(X0,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1449,f1526]) ).
fof(f1550,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_minus(c_insert(c_PropLog_Opl_Ovar(X0,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),X2,tc_set(tc_PropLog_Opl(t_a)))
| c_in(v_p,c_PropLog_Othms(X2,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1533,f1454]) ).
fof(f1669,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(X0,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1550,f1451]) ).
fof(f2057,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X1,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1529,f1669]) ).
fof(f2059,plain,
$false,
inference(resolution,[],[f2057,f1460]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL430-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.46 % Computer : n026.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Sun Sep 27 15:44:41 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.95/2.18 % (3022420)Input is clausal, will run a generic CNF schedule.
% 5.95/2.18 % (3022429)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=97977875:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.95/2.18 % (3022426)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2386400744:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.95/2.18 % (3022425)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=3481477513:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.95/2.18 % (3022428)lrs+10_1_sil=8000:sp=occurrence:random_seed=948223732:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.95/2.18 % (3022427)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2155956463:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.95/2.18 % (3022429)Instruction limit reached!
% 5.95/2.18 % (3022429)------------------------------
% 5.95/2.18 % (3022429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/2.18 % (3022429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/2.18 % (3022429)CaDiCaL version: 2.1.3
% 5.95/2.18 % (3022429)Termination reason: Instruction limit
% 5.95/2.18 % (3022429)Termination phase: Saturation
% 5.95/2.18 % (3022429)Time elapsed: 0.063 s
% 5.95/2.18 % (3022429)Peak memory usage: 89 MB
% 5.95/2.18 % (3022429)Instructions burned: 114 (million)
% 5.95/2.18 % (3022430)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1067014020:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.95/2.18 % (3022431)dis-21_1_sil=8000:lcm=predicate:random_seed=1232737440: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)
% 5.95/2.18 % (3022428)First to succeed.
% 5.95/2.18 % (3022428)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3022420"
% 5.95/2.18 % (3022431)Instruction limit reached!
% 5.95/2.18 % (3022431)------------------------------
% 5.95/2.18 % (3022431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/2.18 % (3022431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/2.18 % (3022431)CaDiCaL version: 2.1.3
% 5.95/2.18 % (3022431)Termination reason: Instruction limit
% 5.95/2.18 % (3022431)Termination phase: Saturation
% 5.95/2.18 % (3022431)Time elapsed: 0.100 s
% 5.95/2.18 % (3022431)Peak memory usage: 89 MB
% 5.95/2.18 % (3022431)Instructions burned: 118 (million)
% 5.95/2.18 % (3022430)Instruction limit reached!
% 5.95/2.18 % (3022430)------------------------------
% 5.95/2.18 % (3022430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/2.18 % (3022430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/2.18 % (3022430)CaDiCaL version: 2.1.3
% 5.95/2.18 % (3022430)Termination reason: Instruction limit
% 5.95/2.18 % (3022430)Termination phase: Saturation
% 5.95/2.18 % (3022430)Time elapsed: 0.178 s
% 5.95/2.18 % (3022430)Peak memory usage: 90 MB
% 5.95/2.18 % (3022430)Instructions burned: 180 (million)
% 5.95/2.18 % (3022437)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=3488246187:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.95/2.18 % (3022437)Also succeeded, but the first one will report.
% 5.95/2.18 % (3022440)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2279585446:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 5.95/2.18 % (3022441)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1803262183:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.95/2.18 % (3022428)Refutation found. Thanks to Tanya!
% 5.95/2.18 % SZS status Unsatisfiable for theBenchmark
% 5.95/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 5.95/2.18 % (3022428)------------------------------
% 5.95/2.18 % (3022428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/2.18 % (3022428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/2.18 % (3022428)CaDiCaL version: 2.1.3
% 5.95/2.18 % (3022428)Termination reason: Refutation
% 5.95/2.18 % (3022428)Time elapsed: 0.081 s
% 5.95/2.18 % (3022428)Peak memory usage: 90 MB
% 5.95/2.18 % (3022428)Instructions burned: 76 (million)
% 5.95/2.18 % (3022428)------------------------------
% 5.95/2.18 % (3022428)------------------------------
% 5.95/2.18 % (3022420)Success in time 0.743 s
% 5.95/2.18 % Vampire exiting
%------------------------------------------------------------------------------