%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL380-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 02:06:28 PM UTC 2026
% Result : Unsatisfiable 125.56s 33.18s
% Output : CNFRefutation 125.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 70 ( 31 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 110 ( 56 ~; 54 |; 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 : 164 ( 0 sgn 164 !; 0 ?; 156 :)
% 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(x,y),implies(not(not(x)),y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_41) ).
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(x,y),implies(not(not(x)),y))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_98,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[c_54,c_56]) ).
tcf(c_100,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_128,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_134,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_128,c_54]) ).
tcf(c_139,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_55,c_54]) ).
tcf(c_152,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_134,c_55]) ).
tcf(c_154,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_134,c_56]) ).
tcf(c_156,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_134,c_57]) ).
tcf(c_159,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_134,c_128]) ).
tcf(c_180,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_139,c_54]) ).
tcf(c_212,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(resolution,[status(thm)],[c_154,c_56]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X1),X2))
| ~ is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_139,c_180]) ).
tcf(c_284,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_156,c_54]) ).
tcf(c_288,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_156,c_134]) ).
tcf(c_319,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_152,c_54]) ).
tcf(c_321,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_152,c_98]) ).
tcf(c_345,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_159,c_55]) ).
tcf(c_349,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_159,c_57]) ).
tcf(c_516,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[c_349,c_154]) ).
tcf(c_542,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_516,c_100]) ).
tcf(c_565,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[c_542,c_154]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X3),implies(X0,X3)))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_139,c_248]) ).
tcf(c_826,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_284,c_128]) ).
tcf(c_918,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_288,c_55]) ).
tcf(c_922,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_288,c_57]) ).
tcf(c_1417,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_345,c_154]) ).
tcf(c_1594,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_319,c_56]) ).
tcf(c_1597,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_319,c_128]) ).
tcf(c_2925,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1))),
inference(resolution,[status(thm)],[c_922,c_212]) ).
tcf(c_5956,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(not(not(X0)),X1))),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6499,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_826,c_56]) ).
tcf(c_6501,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_826,c_57]) ).
tcf(c_9283,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(resolution,[status(thm)],[c_1417,c_57]) ).
tcf(c_9732,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_1597,c_57]) ).
tcf(c_10036,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(resolution,[status(thm)],[c_9283,c_154]) ).
tcf(c_14011,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_6499,c_321]) ).
tcf(c_14474,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(resolution,[status(thm)],[c_6501,c_212]) ).
tcf(c_14476,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(resolution,[status(thm)],[c_6501,c_2925]) ).
tcf(c_19249,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[c_14474,c_565]) ).
tcf(c_19353,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[c_19249,c_1417]) ).
tcf(c_19742,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_14476,c_1594]) ).
tcf(c_26246,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_19353,c_918]) ).
tcf(c_26704,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_19742,c_54]) ).
tcf(c_49391,plain,
! [X0: $i] : is_a_theorem(implies(not(not(X0)),implies(not(not(not(X0))),not(not(X0))))),
inference(instantiation,[status(thm)],[c_5956]) ).
tcf(c_49392,plain,
is_a_theorem(implies(not(not(x)),implies(not(not(not(x))),not(not(x))))),
inference(instantiation,[status(thm)],[c_49391]) ).
tcf(c_124430,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(x,y),implies(not(not(x)),y)))
| ~ is_a_theorem(implies(X0,x))
| ~ is_a_theorem(implies(not(not(x)),X0)) ),
inference(instantiation,[status(thm)],[c_577]) ).
tcf(c_124622,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(x,y),implies(not(not(x)),y)))
| ~ is_a_theorem(implies(implies(not(not(not(x))),X0),x))
| ~ is_a_theorem(implies(not(not(x)),implies(not(not(not(x))),X0))) ),
inference(instantiation,[status(thm)],[c_124430]) ).
tcf(c_129100,plain,
( is_a_theorem(implies(implies(x,y),implies(not(not(x)),y)))
| ~ is_a_theorem(implies(implies(not(not(not(x))),not(not(x))),x))
| ~ is_a_theorem(implies(not(not(x)),implies(not(not(not(x))),not(not(x))))) ),
inference(instantiation,[status(thm)],[c_124622]) ).
tcf(c_195037,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_26246,c_154]) ).
tcf(c_195471,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_195037,c_26704]) ).
tcf(c_195984,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_195471,c_159]) ).
tcf(c_219895,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[c_195984,c_57]) ).
tcf(c_222923,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
inference(backward_subsumption_resolution,[status(thm)],[c_14011,c_219895]) ).
tcf(c_227065,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[c_222923,c_9732]) ).
tcf(c_238997,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_227065,c_54]) ).
tcf(c_262996,plain,
! [X0: $i] : is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(resolution,[status(thm)],[c_238997,c_10036]) ).
tcf(c_269133,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(resolution,[status(thm)],[c_262996,c_516]) ).
tcf(c_272262,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(not(not(X0))),not(not(X0))),X0)),
inference(resolution,[status(thm)],[c_269133,c_516]) ).
tcf(c_272269,plain,
is_a_theorem(implies(implies(not(not(not(x))),not(not(x))),x)),
inference(instantiation,[status(thm)],[c_272262]) ).
tcf(c_272270,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_272269,c_129100,c_49392,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL380-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.52 % Computer : n002.cluster.edu
% 0.11/0.52 % Model : x86_64 x86_64
% 0.11/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.52 % Memory : 8046.5625MB
% 0.11/0.52 % OS : Linux 6.8.0-71-generic
% 0.11/0.52 % CPULimit : 300
% 0.11/0.52 % WCLimit : 300
% 0.11/0.52 % DateTime : Wed Sep 23 23:07:36 UTC 2026
% 0.11/0.52 % CPUTime :
% 0.11/0.52 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.56 Running first-order theorem proving
% 0.15/0.56 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
% 0.15/0.57
% 0.15/0.57 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.57
% 0.15/0.57 % Detected problem language: tptp
% 0.15/0.59 % Proving...
% 125.56/33.18 % SZS status Started for theBenchmark.p
% 125.56/33.18 % SZS status Unsatisfiable for theBenchmark.p
% 125.56/33.18
% 125.56/33.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 125.56/33.18
% 125.56/33.18 % ------ iProver source info
% 125.56/33.18
% 125.56/33.18 % git: date: 2026-07-19 20:42:38 +0200
% 125.56/33.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 125.56/33.18 % git: non_committed_changes: false
% 125.56/33.18
% 125.56/33.18 % ------ Parsing...% successful
% 125.56/33.18
% 125.56/33.18
% 125.56/33.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 125.56/33.18
% 125.56/33.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 125.56/33.18
% 125.56/33.18 % ------ Preprocessing...
% 125.56/33.18 % ------ Proving...
% 125.56/33.18 % ------ Problem Properties
% 125.56/33.18
% 125.56/33.18 %
% 125.56/33.18 % clauses 5
% 125.56/33.18 % conjectures 1
% 125.56/33.18 % EPR 0
% 125.56/33.18 % Horn 5
% 125.56/33.18 % unary 4
% 125.56/33.18 % binary 0
% 125.56/33.18 % lits 7
% 125.56/33.18 % lits eq 0
% 125.56/33.18 % fd_pure 0
% 125.56/33.18 % fd_pseudo 0
% 125.56/33.18 % fd_cond 0
% 125.56/33.18 % fd_pseudo_cond 0
% 125.56/33.18 % AC symbols 0
% 125.56/33.18
% 125.56/33.18 % ------ Input Options Time Limit: Unbounded
% 125.56/33.18
% 125.56/33.18
% 125.56/33.18 % ------
% 125.56/33.18 % Current options:
% 125.56/33.18 % ------
% 125.56/33.18
% 125.56/33.18
% 125.56/33.18 %
% 125.56/33.18
% 125.56/33.18 % ------ Proving...
% 125.56/33.18 %
% 125.56/33.18
% 125.56/33.18 % SZS status Unsatisfiable for theBenchmark.p
% 125.56/33.18
% 125.56/33.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 125.56/33.18
% 125.56/33.18
%------------------------------------------------------------------------------