%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL429-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 : Fri Sep 25 02:06:36 PM UTC 2026
% Result : Unsatisfiable 0.86s 1.29s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 71 ( 0 sgn 71 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1446,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(X0,c_PropLog_Othms(c_minus(X4,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(X1,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_ODiff__weaken__left_0) ).
fof(f1448,axiom,
! [X2,X3,X0,X1] : c_lessequals(c_PropLog_Ohyps(X0,c_minus(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)),X3),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X2,X3),c_PropLog_Opl_Ofalse,X3),c_minus(c_PropLog_Ohyps(X0,X1,X3),c_insert(c_PropLog_Opl_Ovar(X2,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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ohyps__Diff_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__subset2_0) ).
fof(f1453,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ 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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle__rule_0) ).
fof(f1454,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_lessequals(X1,X3,tc_set(tc_PropLog_Opl(X2)))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/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/sandbox2/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_Ovar(v_v,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_1433,negated_conjecture,
! [X0: $i] : 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)),
inference(cnf_transformation,[],[f1458]) ).
tcf(c_1435,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_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f1460]) ).
tcf(c_1449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_lessequals(X1,X3,tc_set(tc_PropLog_Opl(X2)))
| ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f1454]) ).
tcf(c_1452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(X0,c_PropLog_Othms(c_minus(X4,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(X1,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3)) ),
inference(cnf_transformation,[],[f1446]) ).
tcf(c_1460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(c_insert(X1,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f1453]) ).
tcf(c_1461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : 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)),
inference(cnf_transformation,[],[f1451]) ).
tcf(c_1462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : 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)),
inference(cnf_transformation,[],[f1450]) ).
tcf(c_1469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : c_lessequals(c_PropLog_Ohyps(X0,c_minus(X1,c_insert(X2,c_emptyset,X3),tc_set(X3)),X3),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X2,X3),c_PropLog_Opl_Ofalse,X3),c_minus(c_PropLog_Ohyps(X0,X1,X3),c_insert(c_PropLog_Opl_Ovar(X2,X3),c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),
inference(cnf_transformation,[],[f1448]) ).
tcf(c_5409,plain,
! [X0: $i,X1: $i] :
( c_in(v_p,c_PropLog_Othms(X1,t_a),tc_PropLog_Opl(t_a))
| ~ 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))) ),
inference(superposition,[status(thm)],[c_1433,c_1449]) ).
tcf(c_5487,plain,
! [X0: $i,X1: $i] : 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(superposition,[status(thm)],[c_1462,c_5409]) ).
tcf(c_5738,plain,
! [X0: $i,X1: $i] :
( 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))
| ~ c_lessequals(c_PropLog_Ohyps(v_p,X0,t_a),X1,tc_set(tc_PropLog_Opl(t_a))) ),
inference(superposition,[status(thm)],[c_1433,c_1452]) ).
tcf(c_5927,plain,
! [X0: $i,X1: $i] : c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,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(superposition,[status(thm)],[c_1469,c_5738]) ).
tcf(c_5933,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(v_p,c_PropLog_Othms(X2,t_a),tc_PropLog_Opl(t_a))
| ~ c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,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))) ),
inference(superposition,[status(thm)],[c_5927,c_1449]) ).
tcf(c_5961,plain,
! [X0: $i,X1: $i] : c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,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(superposition,[status(thm)],[c_1461,c_5933]) ).
tcf(c_6133,plain,
! [X0: $i,X1: $i] :
( c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| ~ 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_Ovar(X0,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(superposition,[status(thm)],[c_5961,c_1460]) ).
tcf(c_6137,plain,
! [X0: $i,X1: $i] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X0,t_a),c_insert(c_PropLog_Opl_Ovar(X1,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(forward_subsumption_resolution,[status(thm)],[c_6133,c_5487]) ).
tcf(c_6138,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1435,c_6137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL429-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Wed Sep 23 23:19:28 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.42 % Detected problem language: tptp
% 0.02/0.43 % Proving...
% 0.86/1.29 % SZS status Started for theBenchmark.p
% 0.86/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.86/1.29
% 0.86/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.86/1.29
% 0.86/1.29 % ------ iProver source info
% 0.86/1.29
% 0.86/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.86/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.86/1.29 % git: non_committed_changes: false
% 0.86/1.29
% 0.86/1.29 % ------ Parsing...% successful
% 0.86/1.29
% 0.86/1.29
% 0.86/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.86/1.29
% 0.86/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 26 0s sf_e pe_s pe_e %
% 0.86/1.29
% 0.86/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.86/1.29
% 0.86/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.86/1.29 % ------ Proving...
% 0.86/1.29 % ------ Problem Properties
% 0.86/1.29
% 0.86/1.29 %
% 0.86/1.29 % clauses 55
% 0.86/1.29 % conjectures 4
% 0.86/1.29 % EPR 11
% 0.86/1.29 % Horn 51
% 0.86/1.29 % unary 27
% 0.86/1.29 % binary 19
% 0.86/1.29 % lits 92
% 0.86/1.29 % lits eq 20
% 0.86/1.29 % fd_pure 0
% 0.86/1.29 % fd_pseudo 0
% 0.86/1.29 % fd_cond 2
% 0.86/1.29 % fd_pseudo_cond 8
% 0.86/1.29 % AC symbols 0
% 0.86/1.29
% 0.86/1.29 % ------ Schedule dynamic 5 is on
% 0.86/1.29
% 0.86/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.86/1.29
% 0.86/1.29
% 0.86/1.29 % ------
% 0.86/1.29 % Current options:
% 0.86/1.29 % ------
% 0.86/1.29
% 0.86/1.29
% 0.86/1.29 %
% 0.86/1.29
% 0.86/1.29 % ------ Proving...
% 0.86/1.29 %
% 0.86/1.29
% 0.86/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.86/1.29
% 0.86/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.86/1.29
% 0.86/1.29
%------------------------------------------------------------------------------