%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL052-1 : 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 : n012.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 02:05:31 PM UTC 2026
% Result : Unsatisfiable 169.48s 25.63s
% Output : CNFRefutation 169.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 70 ( 31 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 104 ( 54 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn 160 !; 0 ?; 152 :)
% 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(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_24) ).
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(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_59,plain,
is_a_theorem(implies(a,implies(not(a),a))),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_96,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[c_54,c_56]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_54,c_57]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_55,c_54]) ).
tcf(c_132,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(resolution,[status(thm)],[c_126,c_54]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_132,c_55]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(resolution,[status(thm)],[c_132,c_56]) ).
tcf(c_142,plain,
( is_a_theorem(implies(a,a))
| ~ is_a_theorem(implies(a,implies(not(a),a))) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_132,c_57]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_132,c_126]) ).
tcf(c_169,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(resolution,[status(thm)],[c_141,c_56]) ).
tcf(c_171,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[c_141,c_57]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_141,c_126]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_143,c_54]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(not(X1),X3)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_143,c_132]) ).
tcf(c_285,plain,
~ is_a_theorem(implies(not(a),implies(a,b))),
inference(resolution,[status(thm)],[c_174,c_58]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(not(X2),X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_174,c_132]) ).
tcf(c_368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_139,c_54]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(not(implies(implies(X0,X1),implies(X2,X1))),implies(X2,X0))) ),
inference(resolution,[status(thm)],[c_139,c_96]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_146,c_55]) ).
tcf(c_400,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[c_146,c_57]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[c_400,c_141]) ).
tcf(c_576,plain,
~ is_a_theorem(implies(a,not(not(a)))),
inference(resolution,[status(thm)],[c_400,c_285]) ).
tcf(c_625,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_575,c_98]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[c_625,c_141]) ).
tcf(c_879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X2,X1)),X3))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_239,c_126]) ).
tcf(c_940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(not(X3),X4)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[c_242,c_55]) ).
tcf(c_944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(not(X2),X3)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_242,c_57]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X2),implies(X0,X1)))
| ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c_396,c_141]) ).
tcf(c_1675,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1))) ),
inference(resolution,[status(thm)],[c_368,c_56]) ).
tcf(c_1678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X3),implies(X2,X3)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_368,c_126]) ).
tcf(c_3217,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(resolution,[status(thm)],[c_944,c_171]) ).
tcf(c_6172,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[c_286,c_143]) ).
tcf(c_6178,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[c_286,c_3217]) ).
tcf(c_7189,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(implies(implies(not(X0),X0),X1)),X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_879,c_56]) ).
tcf(c_7191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_879,c_57]) ).
tcf(c_10485,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(resolution,[status(thm)],[c_1027,c_57]) ).
tcf(c_10874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X3),implies(X0,X3)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_1678,c_57]) ).
tcf(c_11154,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(resolution,[status(thm)],[c_10485,c_141]) ).
tcf(c_15047,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0)))
| ~ is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(resolution,[status(thm)],[c_7189,c_370]) ).
tcf(c_15595,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(resolution,[status(thm)],[c_7191,c_169]) ).
tcf(c_15597,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(resolution,[status(thm)],[c_7191,c_171]) ).
tcf(c_18970,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[c_15595,c_644]) ).
tcf(c_19256,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[c_18970,c_1027]) ).
tcf(c_20847,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[c_15597,c_1675]) ).
tcf(c_28107,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(not(implies(implies(X1,X0),X0)),X2))),
inference(resolution,[status(thm)],[c_19256,c_940]) ).
tcf(c_28542,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_20847,c_54]) ).
tcf(c_221631,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_28107,c_141]) ).
tcf(c_222307,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_221631,c_28542]) ).
tcf(c_222913,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_222307,c_146]) ).
tcf(c_249262,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[c_222913,c_57]) ).
tcf(c_252947,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
inference(backward_subsumption_resolution,[status(thm)],[c_15047,c_249262]) ).
tcf(c_259307,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[c_252947,c_10874]) ).
tcf(c_275250,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[c_259307,c_54]) ).
tcf(c_302141,plain,
! [X0: $i] : is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(resolution,[status(thm)],[c_275250,c_11154]) ).
tcf(c_308699,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(resolution,[status(thm)],[c_302141,c_575]) ).
tcf(c_313308,plain,
! [X0: $i] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[c_308699,c_6178]) ).
tcf(c_314383,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,not(not(X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_313308,c_6172]) ).
tcf(c_314388,plain,
( is_a_theorem(implies(a,not(not(a))))
| ~ is_a_theorem(implies(a,a)) ),
inference(instantiation,[status(thm)],[c_314383]) ).
tcf(c_314389,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_314388,c_576,c_142,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL052-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Wed Sep 23 21:44:26 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.03/0.33
% 0.03/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.33
% 0.03/0.33 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 169.48/25.63 % SZS status Started for theBenchmark.p
% 169.48/25.63 % SZS status Unsatisfiable for theBenchmark.p
% 169.48/25.63
% 169.48/25.63 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 169.48/25.63
% 169.48/25.63 % ------ iProver source info
% 169.48/25.63
% 169.48/25.63 % git: date: 2026-07-19 20:42:38 +0200
% 169.48/25.63 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 169.48/25.63 % git: non_committed_changes: false
% 169.48/25.63
% 169.48/25.63 % ------ Parsing...% successful
% 169.48/25.63
% 169.48/25.63
% 169.48/25.63 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 169.48/25.63
% 169.48/25.63 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 169.48/25.63
% 169.48/25.63 % ------ Preprocessing...
% 169.48/25.63 % ------ Proving...
% 169.48/25.63 % ------ Problem Properties
% 169.48/25.63
% 169.48/25.63 %
% 169.48/25.63 % clauses 5
% 169.48/25.63 % conjectures 1
% 169.48/25.63 % EPR 0
% 169.48/25.63 % Horn 5
% 169.48/25.63 % unary 4
% 169.48/25.63 % binary 0
% 169.48/25.63 % lits 7
% 169.48/25.63 % lits eq 0
% 169.48/25.63 % fd_pure 0
% 169.48/25.63 % fd_pseudo 0
% 169.48/25.63 % fd_cond 0
% 169.48/25.63 % fd_pseudo_cond 0
% 169.48/25.63 % AC symbols 0
% 169.48/25.63
% 169.48/25.63 % ------ Input Options Time Limit: Unbounded
% 169.48/25.63
% 169.48/25.63
% 169.48/25.63 % ------
% 169.48/25.63 % Current options:
% 169.48/25.63 % ------
% 169.48/25.63
% 169.48/25.63
% 169.48/25.63 %
% 169.48/25.63
% 169.48/25.63 % ------ Proving...
% 169.48/25.63 %
% 169.48/25.63
% 169.48/25.63 % SZS status Unsatisfiable for theBenchmark.p
% 169.48/25.63
% 169.48/25.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 169.48/25.63
%------------------------------------------------------------------------------