%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL443-1 : 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 : n005.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 11:52:27 AM UTC 2026
% Result : Unsatisfiable 3.90s 1.55s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 18 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X2,X0,X1] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
fof(f239,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f1446,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
fof(f1447,axiom,
! [X2,X3,X0,X1] :
( c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
fof(f1448,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
fof(f1449,negated_conjecture,
c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1450,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1451,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1455,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1446,f1451]) ).
fof(f1459,plain,
! [X0] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1447,f1455]) ).
fof(f1502,plain,
! [X0] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1459,f1448]) ).
fof(f1515,plain,
~ c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1502,f1450]) ).
fof(f1519,plain,
! [X0] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_q,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1515,f1447]) ).
fof(f1569,plain,
! [X0] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_q,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1519,f12]) ).
fof(f1582,plain,
~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1569,f239]) ).
fof(f1586,plain,
~ c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1582,f1448]) ).
fof(f1587,plain,
$false,
inference(forward_subsumption_resolution,[],[f1586,f1449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL443-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.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 : Sun Sep 27 15:43:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.90/1.55 % (4160398)Input is clausal, will run a generic CNF schedule.
% 3.90/1.55 % (4160408)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2305748149:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.90/1.55 % (4160405)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=528722866:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.90/1.55 % (4160410)dis-21_1_sil=8000:lcm=predicate:random_seed=2511148782: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)
% 3.90/1.55 % (4160407)lrs+10_1_sil=8000:sp=occurrence:random_seed=2391886982:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.90/1.55 % (4160409)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3160025608:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.90/1.55 % (4160406)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1492400231:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.90/1.55 % (4160404)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=2643435060:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.90/1.55 % (4160408)Instruction limit reached!
% 3.90/1.55 % (4160408)------------------------------
% 3.90/1.55 % (4160408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.55 % (4160408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.55 % (4160408)CaDiCaL version: 2.1.3
% 3.90/1.55 % (4160408)Termination reason: Instruction limit
% 3.90/1.55 % (4160408)Termination phase: Saturation
% 3.90/1.55 % (4160408)Time elapsed: 0.038 s
% 3.90/1.55 % (4160408)Peak memory usage: 89 MB
% 3.90/1.55 % (4160408)Instructions burned: 115 (million)
% 3.90/1.55 % (4160409)First to succeed.
% 3.90/1.55 % (4160409)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4160398"
% 3.90/1.55 % (4160410)Instruction limit reached!
% 3.90/1.55 % (4160410)------------------------------
% 3.90/1.55 % (4160410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.55 % (4160410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.55 % (4160410)CaDiCaL version: 2.1.3
% 3.90/1.55 % (4160410)Termination reason: Instruction limit
% 3.90/1.55 % (4160410)Termination phase: Saturation
% 3.90/1.55 % (4160410)Time elapsed: 0.068 s
% 3.90/1.55 % (4160410)Peak memory usage: 89 MB
% 3.90/1.55 % (4160410)Instructions burned: 118 (million)
% 3.90/1.55 % (4160407)Instruction limit reached!
% 3.90/1.55 % (4160407)------------------------------
% 3.90/1.55 % (4160407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.55 % (4160407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.55 % (4160407)CaDiCaL version: 2.1.3
% 3.90/1.55 % (4160407)Termination reason: Instruction limit
% 3.90/1.55 % (4160407)Termination phase: Saturation
% 3.90/1.55 % (4160407)Time elapsed: 0.070 s
% 3.90/1.55 % (4160407)Peak memory usage: 89 MB
% 3.90/1.55 % (4160407)Instructions burned: 107 (million)
% 3.90/1.55 % (4160418)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=1918521840:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.90/1.55 % (4160418)Refutation not found, incomplete strategy
% 3.90/1.55 % (4160418)------------------------------
% 3.90/1.55 % (4160418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.55 % (4160418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.55 % (4160418)CaDiCaL version: 2.1.3
% 3.90/1.55 % (4160418)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.55 % (4160418)Time elapsed: 0.002 s
% 3.90/1.55 % (4160418)Peak memory usage: 89 MB
% 3.90/1.55 % (4160418)Instructions burned: 4 (million)
% 3.90/1.55 % (4160419)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3218248403: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)
% 3.90/1.55 % (4160420)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3582313415:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.90/1.55 % (4160420)Refutation not found, incomplete strategy
% 3.90/1.55 % (4160420)------------------------------
% 3.90/1.55 % (4160420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.55 % (4160420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.55 % (4160420)CaDiCaL version: 2.1.3
% 3.90/1.55 % (4160420)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.55 % (4160420)Time elapsed: 0.005 s
% 3.90/1.55 % (4160420)Peak memory usage: 88 MB
% 3.90/1.55 % (4160420)Instructions burned: 6 (million)
% 3.90/1.55 % (4160409)Refutation found. Thanks to Tanya!
% 3.90/1.55 % SZS status Unsatisfiable for theBenchmark
% 3.90/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.55 % (4160409)------------------------------
% 3.90/1.55 % (4160409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.55 % (4160409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.55 % (4160409)CaDiCaL version: 2.1.3
% 3.90/1.55 % (4160409)Termination reason: Refutation
% 3.90/1.55 % (4160409)Time elapsed: 0.023 s
% 3.90/1.55 % (4160409)Peak memory usage: 88 MB
% 3.90/1.55 % (4160409)Instructions burned: 36 (million)
% 3.90/1.55 % (4160409)------------------------------
% 3.90/1.55 % (4160409)------------------------------
% 3.90/1.55 % (4160398)Success in time 0.493 s
% 3.90/1.55 % Vampire exiting
%------------------------------------------------------------------------------