%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL067-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 02:05:33 PM UTC 2026
% Result : Unsatisfiable 1.37s 1.77s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 36 unt; 5 def)
% Number of atoms : 136 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 30 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn 59 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_19) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_37) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_59) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_1) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_76,definition,
iPr_def_10 = implies(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_77,definition,
iPr_def_11 = implies(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_78,definition,
iPr_def_12 = implies(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_79,definition,
iPr_def_13 = implies(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_80,definition,
iPr_def_14 = implies(iPr_def_10,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_81,negated_conjecture,
~ is_a_theorem(iPr_def_14),
inference(demodulation,[status(thm)],[c_58,c_78,c_77,c_79,c_76,c_80]) ).
tcf(c_214,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_12,X0),implies(c,X0))),
inference(superposition,[status(thm)],[c_78,c_55]) ).
tcf(c_215,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_13,X0),implies(iPr_def_12,X0))),
inference(superposition,[status(thm)],[c_79,c_55]) ).
tcf(c_221,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(X0,iPr_def_10),iPr_def_13),iPr_def_14)),
inference(superposition,[status(thm)],[c_80,c_55]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(X0),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_267,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(a),X0),implies(implies(b,X0),implies(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_76,c_57]) ).
tcf(c_268,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(b),X0),implies(implies(c,X0),implies(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_77,c_57]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1)))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_371,plain,
! [X0: $i] :
( is_a_theorem(implies(c,X0))
| ~ is_a_theorem(implies(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_214,c_54]) ).
tcf(c_382,plain,
! [X0: $i] :
( is_a_theorem(implies(iPr_def_12,X0))
| ~ is_a_theorem(implies(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_215,c_54]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_222]) ).
tcf(c_530,plain,
is_a_theorem(implies(iPr_def_13,iPr_def_14)),
inference(superposition,[status(thm)],[c_221,c_222]) ).
tcf(c_659,plain,
is_a_theorem(implies(iPr_def_12,iPr_def_14)),
inference(superposition,[status(thm)],[c_530,c_382]) ).
tcf(c_663,plain,
is_a_theorem(implies(c,iPr_def_14)),
inference(superposition,[status(thm)],[c_659,c_371]) ).
tcf(c_687,plain,
! [X0: $i] : is_a_theorem(implies(not(implies(X0,iPr_def_10)),iPr_def_14)),
inference(superposition,[status(thm)],[c_221,c_245]) ).
tcf(c_694,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_518,c_245]) ).
tcf(c_1258,plain,
! [X0: $i] : is_a_theorem(implies(not(a),implies(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_78,c_694]) ).
tcf(c_1259,plain,
! [X0: $i] : is_a_theorem(implies(not(iPr_def_11),implies(X0,iPr_def_13))),
inference(superposition,[status(thm)],[c_79,c_694]) ).
tcf(c_1295,plain,
is_a_theorem(implies(not(a),iPr_def_13)),
inference(superposition,[status(thm)],[c_79,c_1258]) ).
tcf(c_1302,plain,
is_a_theorem(implies(not(iPr_def_11),iPr_def_14)),
inference(superposition,[status(thm)],[c_80,c_1259]) ).
tcf(c_1416,plain,
is_a_theorem(implies(implies(not(a),iPr_def_13),implies(implies(b,iPr_def_13),iPr_def_14))),
inference(superposition,[status(thm)],[c_80,c_267]) ).
tcf(c_1493,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(c,X0),implies(iPr_def_11,X0)))
| ~ is_a_theorem(implies(not(b),X0)) ),
inference(superposition,[status(thm)],[c_268,c_54]) ).
tcf(c_1585,plain,
( is_a_theorem(implies(implies(b,iPr_def_13),iPr_def_14))
| ~ is_a_theorem(implies(not(a),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_1416,c_54]) ).
tcf(c_1588,plain,
is_a_theorem(implies(implies(b,iPr_def_13),iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_1585,c_1295]) ).
tcf(c_1590,plain,
is_a_theorem(implies(not(b),iPr_def_14)),
inference(superposition,[status(thm)],[c_1588,c_245]) ).
tcf(c_2100,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X2),X1))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_272,c_54]) ).
tcf(c_2748,plain,
! [X0: $i] :
( is_a_theorem(implies(iPr_def_11,X0))
| ~ is_a_theorem(implies(c,X0))
| ~ is_a_theorem(implies(not(b),X0)) ),
inference(superposition,[status(thm)],[c_1493,c_54]) ).
tcf(c_2881,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_2100,c_54]) ).
tcf(c_5744,plain,
( is_a_theorem(implies(iPr_def_11,iPr_def_14))
| ~ is_a_theorem(implies(c,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_1590,c_2748]) ).
tcf(c_5758,plain,
is_a_theorem(implies(iPr_def_11,iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_5744,c_663]) ).
tcf(c_6724,plain,
! [X0: $i] :
( is_a_theorem(iPr_def_14)
| ~ is_a_theorem(implies(iPr_def_11,X0))
| ~ is_a_theorem(implies(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_1302,c_2881]) ).
tcf(c_6786,plain,
! [X0: $i] :
( ~ is_a_theorem(implies(iPr_def_11,X0))
| ~ is_a_theorem(implies(X0,iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6724,c_81]) ).
tcf(c_7831,plain,
! [X0: $i] : ~ is_a_theorem(implies(implies(X0,iPr_def_11),iPr_def_14)),
inference(superposition,[status(thm)],[c_518,c_6786]) ).
tcf(c_8137,plain,
! [X0: $i] :
( ~ is_a_theorem(implies(iPr_def_11,iPr_def_14))
| ~ is_a_theorem(implies(not(X0),iPr_def_14)) ),
inference(superposition,[status(thm)],[c_2100,c_7831]) ).
tcf(c_8140,plain,
! [X0: $i] : ~ is_a_theorem(implies(not(X0),iPr_def_14)),
inference(forward_subsumption_resolution,[status(thm)],[c_8137,c_5758]) ).
tcf(c_8141,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_687,c_8140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL067-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38 % Computer : n007.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Wed Sep 23 21:46:22 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.43 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 1.37/1.77 % SZS status Started for theBenchmark.p
% 1.37/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.77
% 1.37/1.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.37/1.77
% 1.37/1.77 % ------ iProver source info
% 1.37/1.77
% 1.37/1.77 % git: date: 2026-07-19 20:42:38 +0200
% 1.37/1.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.37/1.77 % git: non_committed_changes: false
% 1.37/1.77
% 1.37/1.77 % ------ Parsing...% successful
% 1.37/1.77
% 1.37/1.77
% 1.37/1.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.37/1.77
% 1.37/1.77 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.37/1.77
% 1.37/1.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.37/1.77
% 1.37/1.77 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.37/1.77 % ------ Proving...
% 1.37/1.77 % ------ Problem Properties
% 1.37/1.77
% 1.37/1.77 %
% 1.37/1.77 % clauses 10
% 1.37/1.77 % conjectures 1
% 1.37/1.77 % EPR 1
% 1.37/1.77 % Horn 10
% 1.37/1.77 % unary 9
% 1.37/1.77 % binary 0
% 1.37/1.77 % lits 12
% 1.37/1.77 % lits eq 5
% 1.37/1.77 % fd_pure 0
% 1.37/1.77 % fd_pseudo 0
% 1.37/1.77 % fd_cond 0
% 1.37/1.77 % fd_pseudo_cond 0
% 1.37/1.77 % AC symbols 0
% 1.37/1.77
% 1.37/1.77 % ------ Schedule dynamic 5 is on
% 1.37/1.77
% 1.37/1.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.37/1.77
% 1.37/1.77
% 1.37/1.77 % ------
% 1.37/1.77 % Current options:
% 1.37/1.77 % ------
% 1.37/1.77
% 1.37/1.77
% 1.37/1.77 %
% 1.37/1.77
% 1.37/1.77 % ------ Proving...
% 1.37/1.77 %
% 1.37/1.77
% 1.37/1.77 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.77
% 1.37/1.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.37/1.77
% 1.37/1.77
%------------------------------------------------------------------------------