%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL103-1 : 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 : n017.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 02:05:39 PM UTC 2026
% Result : Unsatisfiable 259.65s 36.99s
% Output : CNFRefutation 259.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 16 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 29 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 115 !; 0 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_2) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2))) ),
inference(superposition,[status(thm)],[c_55,c_53]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_54,c_53]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X3),X2))
| ~ is_a_theorem(equivalent(X3,X1))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_74,c_53]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_74,c_72]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(superposition,[status(thm)],[c_54,c_78]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_53]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X3))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_55,c_77]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_86,c_53]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(X3,equivalent(equivalent(X0,X4),X2)))
| ~ is_a_theorem(equivalent(X3,equivalent(X4,X1)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_74,c_101]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),equivalent(equivalent(X2,X1),X3))),
inference(superposition,[status(thm)],[c_54,c_94]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
inference(superposition,[status(thm)],[c_81,c_94]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X2,X1),X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3))) ),
inference(superposition,[status(thm)],[c_147,c_53]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2))) ),
inference(superposition,[status(thm)],[c_150,c_53]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0))),
inference(superposition,[status(thm)],[c_54,c_221]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(equivalent(X2,X2),X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_231,c_101]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(equivalent(X1,X1),X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_231,c_53]) ).
tcf(c_312,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,X0),X2))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_237,c_77]) ).
tcf(c_400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X0,equivalent(X2,X1)),X3))),X3)),
inference(superposition,[status(thm)],[c_55,c_183]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(X0,X4))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X1,equivalent(X3,X2)),X4))))) ),
inference(superposition,[status(thm)],[c_400,c_101]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_236,c_221]) ).
tcf(c_3829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X3,X2),X1),X4)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),X4)))) ),
inference(superposition,[status(thm)],[c_55,c_130]) ).
tcf(c_5066,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_312,c_221]) ).
tcf(c_6085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X3),X4))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3)),X4)) ),
inference(superposition,[status(thm)],[c_54,c_5066]) ).
tcf(c_13625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X4,X3),equivalent(equivalent(X0,X4),X2))))),
inference(superposition,[status(thm)],[c_54,c_6085]) ).
tcf(c_15061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X2,X3),X0))))),
inference(superposition,[status(thm)],[c_13625,c_627]) ).
tcf(c_45304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(equivalent(X3,X2),X0)))),
inference(superposition,[status(thm)],[c_15061,c_3829]) ).
tcf(c_93581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
inference(superposition,[status(thm)],[c_45304,c_443]) ).
tcf(c_93606,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_93581]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL103-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 21:50:30 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 259.65/36.99 % SZS status Started for theBenchmark.p
% 259.65/36.99 % SZS status Unsatisfiable for theBenchmark.p
% 259.65/36.99
% 259.65/36.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 259.65/36.99
% 259.65/36.99 % ------ iProver source info
% 259.65/36.99
% 259.65/36.99 % git: date: 2026-07-19 20:42:38 +0200
% 259.65/36.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 259.65/36.99 % git: non_committed_changes: false
% 259.65/36.99
% 259.65/36.99 % ------ Parsing...% successful
% 259.65/36.99
% 259.65/36.99
% 259.65/36.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 259.65/36.99
% 259.65/36.99 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 259.65/36.99
% 259.65/36.99 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 259.65/36.99 % ------ Proving...
% 259.65/36.99 % ------ Problem Properties
% 259.65/36.99
% 259.65/36.99 %
% 259.65/36.99 % clauses 4
% 259.65/36.99 % conjectures 1
% 259.65/36.99 % EPR 0
% 259.65/36.99 % Horn 4
% 259.65/36.99 % unary 3
% 259.65/36.99 % binary 0
% 259.65/36.99 % lits 6
% 259.65/36.99 % lits eq 0
% 259.65/36.99 % fd_pure 0
% 259.65/36.99 % fd_pseudo 0
% 259.65/36.99 % fd_cond 0
% 259.65/36.99 % fd_pseudo_cond 0
% 259.65/36.99 % AC symbols 0
% 259.65/36.99
% 259.65/36.99 % ------ Input Options Time Limit: Unbounded
% 259.65/36.99
% 259.65/36.99
% 259.65/36.99 % ------
% 259.65/36.99 % Current options:
% 259.65/36.99 % ------
% 259.65/36.99
% 259.65/36.99
% 259.65/36.99 %
% 259.65/36.99
% 259.65/36.99 % ------ Proving...
% 259.65/36.99 %
% 259.65/36.99
% 259.65/36.99 % SZS status Unsatisfiable for theBenchmark.p
% 259.65/36.99
% 259.65/36.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 259.65/36.99
% 259.65/36.99
%------------------------------------------------------------------------------