%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL080-2 : 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 : n016.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 02:05:35 PM UTC 2026
% Result : Unsatisfiable 4.65s 7.48s
% Output : CNFRefutation 4.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 26 unt; 6 def)
% Number of atoms : 102 ( 6 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 45 ( 27 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 38 :)
% 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(f3,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_3) ).
fof(f5,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_4) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_JLukasiewicz) ).
tcf(c_55,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_57,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(implies(c,a),implies(e,a)))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_81,definition,
iPr_def_10 = implies(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_82,definition,
iPr_def_11 = implies(iPr_def_10,c),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_83,definition,
iPr_def_12 = implies(c,a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_84,definition,
iPr_def_13 = implies(e,a),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_85,definition,
iPr_def_14 = implies(iPr_def_12,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_86,definition,
iPr_def_15 = implies(iPr_def_11,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_87,negated_conjecture,
~ is_a_theorem(iPr_def_15),
inference(demodulation,[status(thm)],[c_60,c_84,c_83,c_85,c_81,c_82,c_86]) ).
tcf(c_197,plain,
is_a_theorem(implies(a,iPr_def_13)),
inference(superposition,[status(thm)],[c_84,c_57]) ).
tcf(c_200,plain,
is_a_theorem(implies(implies(iPr_def_10,a),a)),
inference(superposition,[status(thm)],[c_81,c_58]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_57,c_55]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_58,c_55]) ).
tcf(c_288,plain,
! [X0: $i] : is_a_theorem(implies(iPr_def_11,implies(implies(c,X0),implies(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_82,c_59]) ).
tcf(c_302,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_11,X0),implies(implies(X0,iPr_def_14),iPr_def_15))),
inference(superposition,[status(thm)],[c_86,c_59]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_59,c_55]) ).
tcf(c_626,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(X0,iPr_def_14),iPr_def_15))
| ~ is_a_theorem(implies(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_302,c_55]) ).
tcf(c_787,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_303,c_55]) ).
tcf(c_788,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_303,c_211]) ).
tcf(c_977,plain,
! [X0: $i] :
( is_a_theorem(iPr_def_15)
| ~ is_a_theorem(implies(iPr_def_11,X0))
| ~ is_a_theorem(implies(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_626,c_55]) ).
tcf(c_980,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_977,c_87]) ).
tcf(c_1323,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_303,c_788]) ).
tcf(c_1557,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_210,c_1323]) ).
tcf(c_1598,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(iPr_def_10,a),X0))
| ~ is_a_theorem(implies(a,X0)) ),
inference(superposition,[status(thm)],[c_200,c_787]) ).
tcf(c_1608,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(iPr_def_11,X1))
| ~ is_a_theorem(implies(implies(implies(c,X0),implies(iPr_def_10,X0)),X1)) ),
inference(superposition,[status(thm)],[c_288,c_787]) ).
tcf(c_10978,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(iPr_def_11,implies(implies(implies(iPr_def_10,X0),X1),implies(implies(c,X0),X1)))),
inference(superposition,[status(thm)],[c_59,c_1608]) ).
tcf(c_16258,plain,
! [X0: $i,X1: $i] : ~ is_a_theorem(implies(implies(implies(implies(iPr_def_10,X0),X1),implies(implies(c,X0),X1)),iPr_def_14)),
inference(superposition,[status(thm)],[c_10978,c_980]) ).
tcf(c_16382,plain,
! [X0: $i] : ~ is_a_theorem(implies(implies(implies(implies(iPr_def_10,a),X0),implies(iPr_def_12,X0)),iPr_def_14)),
inference(superposition,[status(thm)],[c_83,c_16258]) ).
tcf(c_16385,plain,
~ is_a_theorem(implies(implies(implies(implies(iPr_def_10,a),iPr_def_13),iPr_def_14),iPr_def_14)),
inference(superposition,[status(thm)],[c_85,c_16382]) ).
tcf(c_16387,plain,
~ is_a_theorem(implies(implies(iPr_def_10,a),iPr_def_13)),
inference(superposition,[status(thm)],[c_1557,c_16385]) ).
tcf(c_16391,plain,
~ is_a_theorem(implies(a,iPr_def_13)),
inference(superposition,[status(thm)],[c_1598,c_16387]) ).
tcf(c_16392,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16391,c_197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL080-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.59 % Computer : n016.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Wed Sep 23 21:55:49 UTC 2026
% 0.10/5.60 % CPUTime :
% 0.10/5.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.63 Running first-order theorem proving
% 0.14/5.63 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
% 0.14/5.64
% 0.14/5.64 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.64
% 0.14/5.64 % Detected problem language: tptp
% 0.14/5.65 % Proving...
% 4.65/7.48 % SZS status Started for theBenchmark.p
% 4.65/7.48 % SZS status Unsatisfiable for theBenchmark.p
% 4.65/7.48
% 4.65/7.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.65/7.48
% 4.65/7.48 % ------ iProver source info
% 4.65/7.48
% 4.65/7.48 % git: date: 2026-07-19 20:42:38 +0200
% 4.65/7.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.65/7.48 % git: non_committed_changes: false
% 4.65/7.48
% 4.65/7.48 % ------ Parsing...% successful
% 4.65/7.48
% 4.65/7.48
% 4.65/7.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.65/7.48
% 4.65/7.48 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.65/7.48
% 4.65/7.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.65/7.48
% 4.65/7.48 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.65/7.48 % ------ Proving...
% 4.65/7.48 % ------ Problem Properties
% 4.65/7.48
% 4.65/7.48 %
% 4.65/7.48 % clauses 12
% 4.65/7.48 % conjectures 1
% 4.65/7.48 % EPR 1
% 4.65/7.48 % Horn 12
% 4.65/7.48 % unary 11
% 4.65/7.48 % binary 0
% 4.65/7.48 % lits 14
% 4.65/7.48 % lits eq 6
% 4.65/7.48 % fd_pure 0
% 4.65/7.48 % fd_pseudo 0
% 4.65/7.48 % fd_cond 0
% 4.65/7.48 % fd_pseudo_cond 0
% 4.65/7.48 % AC symbols 0
% 4.65/7.48
% 4.65/7.48 % ------ Schedule dynamic 5 is on
% 4.65/7.48
% 4.65/7.48 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.65/7.48
% 4.65/7.48
% 4.65/7.48 % ------
% 4.65/7.48 % Current options:
% 4.65/7.48 % ------
% 4.65/7.48
% 4.65/7.48
% 4.65/7.48 %
% 4.65/7.48
% 4.65/7.48 % ------ Proving...
% 4.65/7.48 %
% 4.65/7.48
% 4.65/7.48 % SZS status Unsatisfiable for theBenchmark.p
% 4.65/7.48
% 4.65/7.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.65/7.48
% 4.65/7.48
%------------------------------------------------------------------------------