%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL439-1 : 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 : n006.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 11:52:25 AM UTC 2026
% Result : Unsatisfiable 3.58s 1.42s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 32 ( 32 !; 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(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,X3),c_PropLog_Othms(X2,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(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__notE_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(c_PropLog_Opl_Oop_A_N_62(v_p,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_0) ).
fof(f1450,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,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(f1484,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(resolution,[],[f1447,f1448]) ).
fof(f1514,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X4,c_PropLog_Opl_Ofalse,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))
| ~ c_in(X4,c_insert(X1,X2,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)) ),
inference(resolution,[],[f1484,f12]) ).
fof(f1653,plain,
! [X0,X1] :
( c_in(X0,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_insert(X1,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1514,f1449]) ).
fof(f1675,plain,
! [X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_p,c_insert(X0,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f1653,f1446]) ).
fof(f1695,plain,
~ c_in(v_p,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
inference(resolution,[],[f1675,f1450]) ).
fof(f1714,plain,
$false,
inference(forward_subsumption_resolution,[],[f1695,f239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL439-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n006.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:42:41 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 3.58/1.42 % (3124103)Input is clausal, will run a generic CNF schedule.
% 3.58/1.42 % (3124110)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1718964886:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.42 % (3124108)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=2653033544:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.42 % (3124114)dis-21_1_sil=8000:lcm=predicate:random_seed=3513142075: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)
% 3.58/1.42 % (3124111)lrs+10_1_sil=8000:sp=occurrence:random_seed=2436482075:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.42 % (3124112)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=547008500:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.42 % (3124109)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=792598743:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.42 % (3124113)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4179788870:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.42 % (3124111)First to succeed.
% 3.58/1.42 % (3124111)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3124103"
% 3.58/1.42 % (3124113)Also succeeded, but the first one will report.
% 3.58/1.42 % (3124114)Instruction limit reached!
% 3.58/1.42 % (3124114)------------------------------
% 3.58/1.42 % (3124114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.42 % (3124114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.42 % (3124114)CaDiCaL version: 2.1.3
% 3.58/1.42 % (3124114)Termination reason: Instruction limit
% 3.58/1.42 % (3124114)Termination phase: Saturation
% 3.58/1.42 % (3124114)Time elapsed: 0.068 s
% 3.58/1.42 % (3124114)Peak memory usage: 89 MB
% 3.58/1.42 % (3124114)Instructions burned: 118 (million)
% 3.58/1.42 % (3124112)Instruction limit reached!
% 3.58/1.42 % (3124112)------------------------------
% 3.58/1.42 % (3124112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.42 % (3124112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.42 % (3124112)CaDiCaL version: 2.1.3
% 3.58/1.42 % (3124112)Termination reason: Instruction limit
% 3.58/1.42 % (3124112)Termination phase: Saturation
% 3.58/1.42 % (3124112)Time elapsed: 0.070 s
% 3.58/1.42 % (3124112)Peak memory usage: 89 MB
% 3.58/1.42 % (3124112)Instructions burned: 115 (million)
% 3.58/1.42 % (3124122)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=3075070088:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.58/1.42 % (3124123)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=928664534: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)
% 3.58/1.42 % (3124122)Refutation not found, incomplete strategy
% 3.58/1.42 % (3124122)------------------------------
% 3.58/1.42 % (3124122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.42 % (3124122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.42 % (3124122)CaDiCaL version: 2.1.3
% 3.58/1.42 % (3124122)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.42 % (3124122)Time elapsed: 0.004 s
% 3.58/1.42 % (3124122)Peak memory usage: 89 MB
% 3.58/1.42 % (3124122)Instructions burned: 4 (million)
% 3.58/1.42 % (3124111)Refutation found. Thanks to Tanya!
% 3.58/1.42 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.42 % (3124111)------------------------------
% 3.58/1.42 % (3124111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.42 % (3124111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.42 % (3124111)CaDiCaL version: 2.1.3
% 3.58/1.42 % (3124111)Termination reason: Refutation
% 3.58/1.42 % (3124111)Time elapsed: 0.014 s
% 3.58/1.42 % (3124111)Peak memory usage: 89 MB
% 3.58/1.42 % (3124111)Instructions burned: 18 (million)
% 3.58/1.42 % (3124111)------------------------------
% 3.58/1.42 % (3124111)------------------------------
% 3.58/1.42 % (3124103)Success in time 0.449 s
% 3.58/1.42 % Vampire exiting
%------------------------------------------------------------------------------