%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL016-1 : 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 02:05:25 PM UTC 2026
% Result : Unsatisfiable 50.30s 20.01s
% Output : CNFRefutation 50.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 58 ( 15 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 146 ( 74 ~; 72 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 165 ( 0 sgn 165 !; 0 ?; 160 :)
% 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,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X1),X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yro) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(b,c),a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yrm) ).
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(X2,equivalent(equivalent(X2,X1),X0)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(b,c),a)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X2,X1),X0)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_78,c_52]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_83,c_52]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X2,X1),X0)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_118,c_52]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X3)))) ),
inference(superposition,[status(thm)],[c_53,c_84]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_118,c_84]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),X1)) ),
inference(superposition,[status(thm)],[c_118,c_141]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(X4)
| ~ is_a_theorem(equivalent(X4,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X2)),X3)) ),
inference(superposition,[status(thm)],[c_123,c_141]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X2,X1),X0)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_197,c_52]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X1,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_198,c_156]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),X1)) ),
inference(superposition,[status(thm)],[c_53,c_142]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(X4,X3))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,equivalent(equivalent(X2,X3),X4)),X2)))) ),
inference(superposition,[status(thm)],[c_53,c_157]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(equivalent(X1,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_198,c_211]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X1,equivalent(X3,equivalent(equivalent(X3,X0),X2))))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_210]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X3)))) ),
inference(superposition,[status(thm)],[c_53,c_234]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X2))) ),
inference(superposition,[status(thm)],[c_53,c_225]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X0),X2)),
inference(superposition,[status(thm)],[c_53,c_381]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X3),X0),X2),X3))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_236,c_381]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X2,X1),X0)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X0)) ),
inference(superposition,[status(thm)],[c_395,c_52]) ).
tcf(c_437,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_431,c_52]) ).
tcf(c_455,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X0))) ),
inference(superposition,[status(thm)],[c_53,c_341]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_398,c_432]) ).
tcf(c_547,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2)) ),
inference(superposition,[status(thm)],[c_437,c_455]) ).
tcf(c_550,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_431,c_484]) ).
tcf(c_552,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),X0),X2),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_395,c_484]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1)) ),
inference(superposition,[status(thm)],[c_552,c_52]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X2))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_395,c_547]) ).
tcf(c_676,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),X0)) ),
inference(superposition,[status(thm)],[c_395,c_52]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1)) ),
inference(superposition,[status(thm)],[c_615,c_52]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(equivalent(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_395,c_563]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_395,c_677]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X0),X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_395,c_550]) ).
tcf(c_730,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_686,c_676]) ).
tcf(c_734,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(superposition,[status(thm)],[c_395,c_690]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_734,c_550]) ).
tcf(c_750,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
inference(superposition,[status(thm)],[c_53,c_730]) ).
tcf(c_911,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X2)),equivalent(X2,X1))),
inference(superposition,[status(thm)],[c_53,c_743]) ).
tcf(c_921,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0)),
inference(superposition,[status(thm)],[c_750,c_743]) ).
tcf(c_22289,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_921,c_52]) ).
tcf(c_22818,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_706,c_52]) ).
tcf(c_22822,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_706,c_22289]) ).
tcf(c_23155,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_911,c_22818]) ).
tcf(c_29149,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X1,X2),X0),X2))),
inference(superposition,[status(thm)],[c_395,c_23155]) ).
tcf(c_29550,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),equivalent(X2,X0))),
inference(superposition,[status(thm)],[c_29149,c_22822]) ).
tcf(c_31693,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X1,X2),X0))),
inference(superposition,[status(thm)],[c_29550,c_23155]) ).
tcf(c_31986,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,X2),X0))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_31693,c_52]) ).
tcf(c_32484,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X0),X2)),equivalent(X2,X1))),
inference(superposition,[status(thm)],[c_31693,c_31986]) ).
tcf(c_37814,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X1,X2),X0)))),
inference(superposition,[status(thm)],[c_32484,c_22822]) ).
tcf(c_50582,plain,
$false,
inference(superposition,[status(thm)],[c_37814,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL016-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.39 % Computer : n017.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Wed Sep 23 21:32:36 UTC 2026
% 0.12/5.40 % CPUTime :
% 0.16/5.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.44 Running first-order theorem proving
% 0.16/5.44 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
% 0.16/5.45
% 0.16/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.45
% 0.16/5.45 % Detected problem language: tptp
% 0.16/5.47 % Proving...
% 50.30/20.01 % SZS status Started for theBenchmark.p
% 50.30/20.01 % SZS status Unsatisfiable for theBenchmark.p
% 50.30/20.01
% 50.30/20.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 50.30/20.01
% 50.30/20.01 % ------ iProver source info
% 50.30/20.01
% 50.30/20.01 % git: date: 2026-07-19 20:42:38 +0200
% 50.30/20.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 50.30/20.01 % git: non_committed_changes: false
% 50.30/20.01
% 50.30/20.01 % ------ Parsing...% successful
% 50.30/20.01
% 50.30/20.01
% 50.30/20.01 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 50.30/20.01
% 50.30/20.01 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 50.30/20.01
% 50.30/20.01 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 50.30/20.01 % ------ Proving...
% 50.30/20.01 % ------ Problem Properties
% 50.30/20.01
% 50.30/20.01 %
% 50.30/20.01 % clauses 3
% 50.30/20.01 % conjectures 1
% 50.30/20.01 % EPR 0
% 50.30/20.01 % Horn 3
% 50.30/20.01 % unary 2
% 50.30/20.01 % binary 0
% 50.30/20.01 % lits 5
% 50.30/20.01 % lits eq 0
% 50.30/20.01 % fd_pure 0
% 50.30/20.01 % fd_pseudo 0
% 50.30/20.01 % fd_cond 0
% 50.30/20.01 % fd_pseudo_cond 0
% 50.30/20.01 % AC symbols 0
% 50.30/20.01
% 50.30/20.01 % ------ Input Options Time Limit: Unbounded
% 50.30/20.01
% 50.30/20.01
% 50.30/20.01 % ------
% 50.30/20.01 % Current options:
% 50.30/20.01 % ------
% 50.30/20.01
% 50.30/20.01
% 50.30/20.01 %
% 50.30/20.01
% 50.30/20.01 % ------ Proving...
% 50.30/20.01 %
% 50.30/20.01
% 50.30/20.01 % SZS status Unsatisfiable for theBenchmark.p
% 50.30/20.01
% 50.30/20.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.30/20.02
% 50.30/20.02
%------------------------------------------------------------------------------