%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL048-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 02:05:30 PM UTC 2026
% Result : Unsatisfiable 130.27s 34.16s
% Output : CNFRefutation 130.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 21 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 114 !; 0 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_19) ).
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),c),implies(b,c))),
inference(cnf_transformation,[],[f5]) ).
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_140,plain,
~ is_a_theorem(implies(b,implies(a,b))),
inference(resolution,[status(thm)],[c_58,c_126]) ).
tcf(c_156,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_158,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_160,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_163,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_209,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(resolution,[status(thm)],[c_158,c_56]) ).
tcf(c_297,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_160,c_54]) ).
tcf(c_300,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_160,c_132]) ).
tcf(c_343,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_156,c_54]) ).
tcf(c_375,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_163,c_55]) ).
tcf(c_379,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_163,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_379,c_158]) ).
tcf(c_629,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_649,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[c_629,c_158]) ).
tcf(c_891,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_297,c_126]) ).
tcf(c_972,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_300,c_55]) ).
tcf(c_976,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_300,c_57]) ).
tcf(c_1533,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_375,c_158]) ).
tcf(c_1668,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_343,c_56]) ).
tcf(c_2780,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1))),
inference(resolution,[status(thm)],[c_976,c_209]) ).
tcf(c_7077,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_891,c_57]) ).
tcf(c_14964,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(resolution,[status(thm)],[c_7077,c_209]) ).
tcf(c_14966,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(resolution,[status(thm)],[c_7077,c_2780]) ).
tcf(c_19576,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[c_14964,c_649]) ).
tcf(c_19840,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[c_19576,c_1533]) ).
tcf(c_20476,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_14966,c_1668]) ).
tcf(c_27552,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_19840,c_972]) ).
tcf(c_27905,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_20476,c_54]) ).
tcf(c_191151,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_27552,c_158]) ).
tcf(c_191673,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_191151,c_27905]) ).
tcf(c_192320,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_191673,c_163]) ).
tcf(c_219817,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[c_192320,c_57]) ).
tcf(c_222384,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_140,c_219817]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL048-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 21:48:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 130.27/34.16 % SZS status Started for theBenchmark.p
% 130.27/34.16 % SZS status Unsatisfiable for theBenchmark.p
% 130.27/34.16
% 130.27/34.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 130.27/34.16
% 130.27/34.16 % ------ iProver source info
% 130.27/34.16
% 130.27/34.16 % git: date: 2026-07-19 20:42:38 +0200
% 130.27/34.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 130.27/34.16 % git: non_committed_changes: false
% 130.27/34.16
% 130.27/34.16 % ------ Parsing...% successful
% 130.27/34.16
% 130.27/34.16
% 130.27/34.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 130.27/34.16
% 130.27/34.16 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 130.27/34.16
% 130.27/34.16 % ------ Preprocessing...
% 130.27/34.16 % ------ Proving...
% 130.27/34.16 % ------ Problem Properties
% 130.27/34.16
% 130.27/34.16 %
% 130.27/34.16 % clauses 5
% 130.27/34.16 % conjectures 1
% 130.27/34.16 % EPR 0
% 130.27/34.16 % Horn 5
% 130.27/34.16 % unary 4
% 130.27/34.16 % binary 0
% 130.27/34.16 % lits 7
% 130.27/34.16 % lits eq 0
% 130.27/34.16 % fd_pure 0
% 130.27/34.16 % fd_pseudo 0
% 130.27/34.16 % fd_cond 0
% 130.27/34.16 % fd_pseudo_cond 0
% 130.27/34.16 % AC symbols 0
% 130.27/34.16
% 130.27/34.16 % ------ Input Options Time Limit: Unbounded
% 130.27/34.16
% 130.27/34.16
% 130.27/34.16 % ------
% 130.27/34.16 % Current options:
% 130.27/34.16 % ------
% 130.27/34.16
% 130.27/34.16
% 130.27/34.16 %
% 130.27/34.16
% 130.27/34.16 % ------ Proving...
% 130.27/34.16 %
% 130.27/34.16
% 130.27/34.16 % SZS status Unsatisfiable for theBenchmark.p
% 130.27/34.16
% 130.27/34.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 130.27/34.16
% 130.27/34.16
%------------------------------------------------------------------------------