%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL010-1 : 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 : n005.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 02:05:25 PM UTC 2026
% Result : Unsatisfiable 23.58s 4.28s
% Output : CNFRefutation 23.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of formulae : 50 ( 21 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 38 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 8 ( 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; 3 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 141 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yqf) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_yql) ).
tcf(c_52,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_53,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X2,X1)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_62,c_52]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X3),equivalent(X3,X1))))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_53,c_64]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X3,X1)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_73,c_52]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X3,X2)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_53,c_102]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(X2,equivalent(X0,X2))))),
inference(superposition,[status(thm)],[c_53,c_182]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X0,X2))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_234,c_52]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X2,X3),equivalent(X3,X0)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X1)))) ),
inference(superposition,[status(thm)],[c_234,c_102]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X0,X2)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_239,c_52]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X3,equivalent(equivalent(X0,X2),X3)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_53,c_272]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(X1,X2))),X0))),
inference(superposition,[status(thm)],[c_53,c_275]) ).
tcf(c_320,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X1,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_287,c_52]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X2,X3))))),X0))),
inference(superposition,[status(thm)],[c_287,c_275]) ).
tcf(c_357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,equivalent(X2,X3))),X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_320,c_272]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(X2,equivalent(X2,X0))))),
inference(superposition,[status(thm)],[c_53,c_240]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X2,X0))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_461,c_52]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X2,X0)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_521,c_52]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X3,equivalent(X3,equivalent(X2,X0))))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X2)))) ),
inference(superposition,[status(thm)],[c_461,c_526]) ).
tcf(c_616,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(X1,X2))),X0))),
inference(superposition,[status(thm)],[c_461,c_357]) ).
tcf(c_775,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,equivalent(X1,X2))),X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_616,c_52]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X1,equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X2,X3))))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_775,c_526]) ).
tcf(c_799,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X1,X2)))))),
inference(superposition,[status(thm)],[c_321,c_784]) ).
tcf(c_819,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X1,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_799,c_52]) ).
tcf(c_840,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_819,c_52]) ).
tcf(c_903,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_904,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))),
inference(superposition,[status(thm)],[c_53,c_840]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_903,c_52]) ).
tcf(c_1450,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
inference(superposition,[status(thm)],[c_904,c_577]) ).
tcf(c_1538,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1450,c_52]) ).
tcf(c_1547,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1538,c_52]) ).
tcf(c_1603,plain,
! [X0: $i] : is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_1450,c_1547]) ).
tcf(c_1619,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_1603,c_920]) ).
tcf(c_1649,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X1,X2)),equivalent(X0,X2))),
inference(superposition,[status(thm)],[c_53,c_1619]) ).
tcf(c_1656,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X1,X2))),equivalent(X2,X0))),
inference(superposition,[status(thm)],[c_461,c_1619]) ).
tcf(c_9656,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_9664,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X2)))) ),
inference(superposition,[status(thm)],[c_1656,c_52]) ).
tcf(c_9983,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X0,X1)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_9656,c_9664]) ).
tcf(c_10002,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X2,equivalent(X1,X0))))),
inference(superposition,[status(thm)],[c_1649,c_9664]) ).
tcf(c_10096,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X2,X0)))),
inference(superposition,[status(thm)],[c_53,c_9983]) ).
tcf(c_10236,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),equivalent(X0,X2)))),
inference(superposition,[status(thm)],[c_10096,c_9983]) ).
tcf(c_10980,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X1,X0)))),
inference(superposition,[status(thm)],[c_10002,c_9983]) ).
tcf(c_15438,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X1,X0)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_10980,c_52]) ).
tcf(c_18964,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
inference(superposition,[status(thm)],[c_10236,c_15438]) ).
tcf(c_23804,plain,
$false,
inference(superposition,[status(thm)],[c_18964,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 21:36:32 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 23.58/4.28 % SZS status Started for theBenchmark.p
% 23.58/4.28 % SZS status Unsatisfiable for theBenchmark.p
% 23.58/4.28
% 23.58/4.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 23.58/4.28
% 23.58/4.28 % ------ iProver source info
% 23.58/4.28
% 23.58/4.28 % git: date: 2026-07-19 20:42:38 +0200
% 23.58/4.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 23.58/4.28 % git: non_committed_changes: false
% 23.58/4.28
% 23.58/4.28 % ------ Parsing...% successful
% 23.58/4.28
% 23.58/4.28
% 23.58/4.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 23.58/4.28
% 23.58/4.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 23.58/4.28
% 23.58/4.28 % ------ Preprocessing...
% 23.58/4.28 % ------ Proving...
% 23.58/4.28 % ------ Problem Properties
% 23.58/4.28
% 23.58/4.28 %
% 23.58/4.28 % clauses 3
% 23.58/4.28 % conjectures 1
% 23.58/4.28 % EPR 0
% 23.58/4.28 % Horn 3
% 23.58/4.28 % unary 2
% 23.58/4.28 % binary 0
% 23.58/4.28 % lits 5
% 23.58/4.28 % lits eq 0
% 23.58/4.28 % fd_pure 0
% 23.58/4.28 % fd_pseudo 0
% 23.58/4.28 % fd_cond 0
% 23.58/4.28 % fd_pseudo_cond 0
% 23.58/4.28 % AC symbols 0
% 23.58/4.28
% 23.58/4.28 % ------ Input Options Time Limit: Unbounded
% 23.58/4.28
% 23.58/4.28
% 23.58/4.28 % ------
% 23.58/4.28 % Current options:
% 23.58/4.28 % ------
% 23.58/4.28
% 23.58/4.28
% 23.58/4.28 %
% 23.58/4.28
% 23.58/4.28 % ------ Proving...
% 23.58/4.28 %
% 23.58/4.28
% 23.58/4.28 % SZS status Unsatisfiable for theBenchmark.p
% 23.58/4.28
% 23.58/4.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.58/4.28
% 23.58/4.28
%------------------------------------------------------------------------------