%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL433-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 02:06:37 PM UTC 2026
% Result : Unsatisfiable 1.76s 1.17s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 16 unt; 4 def)
% Number of atoms : 131 ( 4 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 63 ( 33 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f2,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3,negated_conjecture,
! [X0] :
( ~ c_PropLog_Osat(v_F,X0,t_a)
| c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2)
| ~ c_PropLog_Osat(c_insert(X0,X1,tc_PropLog_Opl(X2)),X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).
fof(f5,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(f6,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(f7,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(f8,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
tcf(c_57,negated_conjecture,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,negated_conjecture,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,negated_conjecture,
! [X0: $i] :
( c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Osat(v_F,X0,t_a) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),X2)
| ~ c_PropLog_Osat(c_insert(X0,X1,tc_PropLog_Opl(X2)),X3,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X1,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( 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)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f8]) ).
tcf(c_98,definition,
iPr_def_10 = c_PropLog_Othms(v_F,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_99,definition,
iPr_def_11 = tc_PropLog_Opl(t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_100,definition,
iPr_def_12 = c_insert(v_x,v_F,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_101,definition,
iPr_def_13 = c_PropLog_Othms(iPr_def_12,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_102,negated_conjecture,
! [X0: $i] :
( c_in(X0,iPr_def_10,iPr_def_11)
| ~ c_PropLog_Osat(v_F,X0,t_a) ),
inference(demodulation,[status(thm)],[c_59,c_99,c_98]) ).
tcf(c_103,negated_conjecture,
~ c_in(v_xa,iPr_def_13,iPr_def_11),
inference(demodulation,[status(thm)],[c_58,c_100,c_101]) ).
tcf(c_104,negated_conjecture,
c_PropLog_Osat(iPr_def_12,v_xa,t_a),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_287,plain,
c_in(v_x,iPr_def_12,iPr_def_11),
inference(superposition,[status(thm)],[c_100,c_64]) ).
tcf(c_293,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,tc_PropLog_Opl(t_a))
| ~ c_in(X0,iPr_def_12,tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_101,c_61]) ).
tcf(c_295,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,iPr_def_11)
| ~ c_in(X0,iPr_def_12,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_293,c_99]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X2,t_a),t_a)
| ~ c_PropLog_Osat(c_insert(X0,X1,iPr_def_11),X2,t_a) ),
inference(superposition,[status(thm)],[c_99,c_60]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_PropLog_Othms(c_insert(X2,X1,iPr_def_11),t_a),iPr_def_11)
| ~ c_in(X0,c_PropLog_Othms(X1,t_a),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_99,c_63]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_PropLog_Othms(c_insert(X2,X1,iPr_def_11),t_a),iPr_def_11)
| ~ c_in(X0,c_PropLog_Othms(X1,t_a),iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_319,c_99]) ).
tcf(c_334,plain,
! [X0: $i,X1: $i] :
( c_in(X1,c_PropLog_Othms(iPr_def_12,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(X0,c_PropLog_Othms(iPr_def_12,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),iPr_def_13,tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_101,c_62]) ).
tcf(c_336,plain,
! [X0: $i,X1: $i] :
( c_in(X1,iPr_def_13,iPr_def_11)
| ~ c_in(X0,iPr_def_13,iPr_def_11)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),iPr_def_13,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_334,c_99,c_101]) ).
tcf(c_358,plain,
c_in(v_x,iPr_def_13,iPr_def_11),
inference(superposition,[status(thm)],[c_287,c_295]) ).
tcf(c_373,plain,
! [X0: $i] :
( c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,X0,t_a),t_a)
| ~ c_PropLog_Osat(iPr_def_12,X0,t_a) ),
inference(superposition,[status(thm)],[c_100,c_311]) ).
tcf(c_381,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_x,X0,t_a),iPr_def_10,iPr_def_11)
| ~ c_PropLog_Osat(iPr_def_12,X0,t_a) ),
inference(superposition,[status(thm)],[c_373,c_102]) ).
tcf(c_393,plain,
! [X0: $i] :
( c_in(X0,c_PropLog_Othms(iPr_def_12,t_a),iPr_def_11)
| ~ c_in(X0,c_PropLog_Othms(v_F,t_a),iPr_def_11) ),
inference(superposition,[status(thm)],[c_100,c_321]) ).
tcf(c_394,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,iPr_def_11)
| ~ c_in(X0,iPr_def_10,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_393,c_98,c_101]) ).
tcf(c_402,plain,
! [X0: $i] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_x,X0,t_a),iPr_def_13,iPr_def_11)
| ~ c_PropLog_Osat(iPr_def_12,X0,t_a) ),
inference(superposition,[status(thm)],[c_381,c_394]) ).
tcf(c_416,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,iPr_def_11)
| ~ c_in(v_x,iPr_def_13,iPr_def_11)
| ~ c_PropLog_Osat(iPr_def_12,X0,t_a) ),
inference(superposition,[status(thm)],[c_402,c_336]) ).
tcf(c_417,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,iPr_def_11)
| ~ c_PropLog_Osat(iPr_def_12,X0,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_416,c_358]) ).
tcf(c_425,plain,
c_in(v_xa,iPr_def_13,iPr_def_11),
inference(superposition,[status(thm)],[c_104,c_417]) ).
tcf(c_426,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_425,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL433-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n001.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 : Wed Sep 23 23:27:08 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.76/1.17 % SZS status Started for theBenchmark.p
% 1.76/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.76/1.17
% 1.76/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.76/1.17
% 1.76/1.17 % ------ iProver source info
% 1.76/1.17
% 1.76/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.76/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.76/1.17 % git: non_committed_changes: false
% 1.76/1.17
% 1.76/1.17 % ------ Parsing...% successful
% 1.76/1.17
% 1.76/1.17
% 1.76/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.76/1.17
% 1.76/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.76/1.17
% 1.76/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.76/1.17
% 1.76/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.76/1.17 % ------ Proving...
% 1.76/1.17 % ------ Problem Properties
% 1.76/1.17
% 1.76/1.17 %
% 1.76/1.17 % clauses 12
% 1.76/1.17 % conjectures 3
% 1.76/1.17 % EPR 3
% 1.76/1.17 % Horn 12
% 1.76/1.17 % unary 7
% 1.76/1.17 % binary 4
% 1.76/1.17 % lits 18
% 1.76/1.17 % lits eq 4
% 1.76/1.17 % fd_pure 0
% 1.76/1.17 % fd_pseudo 0
% 1.76/1.17 % fd_cond 0
% 1.76/1.17 % fd_pseudo_cond 0
% 1.76/1.17 % AC symbols 0
% 1.76/1.17
% 1.76/1.17 % ------ Schedule dynamic 5 is on
% 1.76/1.17
% 1.76/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.76/1.17
% 1.76/1.17
% 1.76/1.17 % ------
% 1.76/1.17 % Current options:
% 1.76/1.17 % ------
% 1.76/1.17
% 1.76/1.17
% 1.76/1.17 %
% 1.76/1.17
% 1.76/1.17 % ------ Proving...
% 1.76/1.17 %
% 1.76/1.17
% 1.76/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 1.76/1.17
% 1.76/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.76/1.17
% 1.76/1.17
%------------------------------------------------------------------------------