%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL115-1 : 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 : 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 02:05:42 PM UTC 2026
% Result : Unsatisfiable 10.22s 2.26s
% Output : CNFRefutation 10.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 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 : 56 ( 0 sgn 56 !; 0 ?; 45 :)
% 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,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_1) ).
fof(f3,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',mv_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_3) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mv_5) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(not(implies(a,b)),not(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_mv_39) ).
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_56,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
~ is_a_theorem(implies(not(implies(a,b)),not(b))),
inference(cnf_transformation,[],[f6]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_55,c_56]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[c_59,c_55]) ).
tcf(c_355,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_57,c_55]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[c_58,c_55]) ).
tcf(c_441,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_355,c_55]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_375,c_217]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,implies(not(X1),not(X2)))) ),
inference(resolution,[status(thm)],[c_441,c_59]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_441,c_462]) ).
tcf(c_910,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[c_506,c_56]) ).
tcf(c_1306,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[status(thm)],[c_910,c_506]) ).
tcf(c_1526,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(not(X1)),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_1306,c_509]) ).
tcf(c_1637,plain,
! [X0: $i] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[c_1526,c_56]) ).
tcf(c_1833,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[c_1637,c_293]) ).
tcf(c_2127,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,not(not(X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_1833,c_441]) ).
tcf(c_10327,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X1),X0))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_2127,c_293]) ).
tcf(c_16473,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(X0,X1)),not(X1))),
inference(resolution,[status(thm)],[c_10327,c_1306]) ).
tcf(c_18581,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_60,c_16473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL115-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 22:04:28 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 10.22/2.26 % SZS status Started for theBenchmark.p
% 10.22/2.26 % SZS status Unsatisfiable for theBenchmark.p
% 10.22/2.26
% 10.22/2.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.22/2.26
% 10.22/2.26 % ------ iProver source info
% 10.22/2.26
% 10.22/2.26 % git: date: 2026-07-19 20:42:38 +0200
% 10.22/2.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.22/2.26 % git: non_committed_changes: false
% 10.22/2.26
% 10.22/2.26 % ------ Parsing...% successful
% 10.22/2.26
% 10.22/2.26
% 10.22/2.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.22/2.26
% 10.22/2.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.22/2.26
% 10.22/2.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.22/2.26 % ------ Proving...
% 10.22/2.26 % ------ Problem Properties
% 10.22/2.26
% 10.22/2.26 %
% 10.22/2.26 % clauses 6
% 10.22/2.26 % conjectures 1
% 10.22/2.26 % EPR 0
% 10.22/2.26 % Horn 6
% 10.22/2.26 % unary 5
% 10.22/2.26 % binary 0
% 10.22/2.26 % lits 8
% 10.22/2.26 % lits eq 0
% 10.22/2.26 % fd_pure 0
% 10.22/2.26 % fd_pseudo 0
% 10.22/2.26 % fd_cond 0
% 10.22/2.26 % fd_pseudo_cond 0
% 10.22/2.26 % AC symbols 0
% 10.22/2.26
% 10.22/2.26 % ------ Input Options Time Limit: Unbounded
% 10.22/2.26
% 10.22/2.26
% 10.22/2.26 % ------
% 10.22/2.26 % Current options:
% 10.22/2.26 % ------
% 10.22/2.26
% 10.22/2.26
% 10.22/2.26 %
% 10.22/2.26
% 10.22/2.26 % ------ Proving...
% 10.22/2.26 %
% 10.22/2.26
% 10.22/2.26 % SZS status Unsatisfiable for theBenchmark.p
% 10.22/2.26
% 10.22/2.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.22/2.26
% 10.22/2.26
%------------------------------------------------------------------------------