%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL017-1 : 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 : n006.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 02:05:26 PM UTC 2026
% Result : Unsatisfiable 67.10s 11.29s
% Output : CNFRefutation 67.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 3
% Syntax : Number of formulae : 50 ( 23 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 80 ( 41 ~; 39 |; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 131 !; 0 ?; 126 :)
% 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(equivalent(X0,equivalent(X1,X2)),X2),equivalent(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pyo) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(c,b),a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yro) ).
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(equivalent(X0,equivalent(X1,X2)),X2),equivalent(X1,X0))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(c,b),a)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X2,X1)))))),
inference(superposition,[status(thm)],[c_53,c_72]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X2,X1)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_76,c_52]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X2,X1))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_86,c_52]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(X2,X1)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_90,c_52]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_125,c_52]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_53,c_133]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X2,X1)))))),
inference(superposition,[status(thm)],[c_53,c_220]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_164,c_220]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X2)))) ),
inference(superposition,[status(thm)],[c_223,c_224]) ).
tcf(c_45247,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_45255,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X2,X1)))))),
inference(superposition,[status(thm)],[c_53,c_45247]) ).
tcf(c_45256,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_164,c_45247]) ).
tcf(c_45257,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X2,X1)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_45255,c_52]) ).
tcf(c_45287,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
inference(superposition,[status(thm)],[c_45255,c_294]) ).
tcf(c_45289,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,equivalent(X0,X1))) ),
inference(superposition,[status(thm)],[c_45287,c_52]) ).
tcf(c_45299,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))),
inference(superposition,[status(thm)],[c_45255,c_45289]) ).
tcf(c_45302,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_45299,c_45256]) ).
tcf(c_45324,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_45257,c_45289]) ).
tcf(c_45378,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X0,X2)),X2))),
inference(superposition,[status(thm)],[c_53,c_45302]) ).
tcf(c_45415,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(equivalent(X1,X1),X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_45324,c_45302]) ).
tcf(c_45445,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(X2,X2)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_45415,c_45256]) ).
tcf(c_45452,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X0,X2)),X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_45378,c_52]) ).
tcf(c_45455,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(X2,X1),X0))))),
inference(superposition,[status(thm)],[c_45378,c_294]) ).
tcf(c_45468,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_45452,c_52]) ).
tcf(c_45793,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X0),X2))),X2)),
inference(superposition,[status(thm)],[c_45455,c_45302]) ).
tcf(c_45800,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
inference(superposition,[status(thm)],[c_45455,c_45289]) ).
tcf(c_45815,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(X2,X2)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_45800,c_45445]) ).
tcf(c_45989,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X1,X0))),equivalent(X2,X2))),
inference(superposition,[status(thm)],[c_53,c_45815]) ).
tcf(c_46095,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(X2,X1))),X0))),
inference(superposition,[status(thm)],[c_45989,c_294]) ).
tcf(c_46215,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X1,X0))),X2)) ),
inference(superposition,[status(thm)],[c_46095,c_45468]) ).
tcf(c_46780,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(X1,X2)),X2)),
inference(superposition,[status(thm)],[c_45378,c_46215]) ).
tcf(c_47003,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_46780,c_52]) ).
tcf(c_47019,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X0,X2)))),
inference(superposition,[status(thm)],[c_45255,c_47003]) ).
tcf(c_47062,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_47019,c_45468]) ).
tcf(c_47442,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X2),X1)),
inference(superposition,[status(thm)],[c_45378,c_47062]) ).
tcf(c_47757,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,equivalent(X0,X2))))),
inference(superposition,[status(thm)],[c_47442,c_45247]) ).
tcf(c_48967,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_47757,c_45468]) ).
tcf(c_50069,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X1,X0),X2))),
inference(superposition,[status(thm)],[c_53,c_48967]) ).
tcf(c_50116,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(X2,X0),X1))))),
inference(superposition,[status(thm)],[c_45793,c_48967]) ).
tcf(c_50420,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,X0),X2))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_50069,c_52]) ).
tcf(c_52909,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X1),X0)))),
inference(superposition,[status(thm)],[c_50116,c_50420]) ).
tcf(c_52930,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_52909]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL017-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 21:37:11 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 67.10/11.29 % SZS status Started for theBenchmark.p
% 67.10/11.29 % SZS status Unsatisfiable for theBenchmark.p
% 67.10/11.29
% 67.10/11.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 67.10/11.29
% 67.10/11.29 % ------ iProver source info
% 67.10/11.29
% 67.10/11.29 % git: date: 2026-07-19 20:42:38 +0200
% 67.10/11.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 67.10/11.29 % git: non_committed_changes: false
% 67.10/11.29
% 67.10/11.29 % ------ Parsing...% successful
% 67.10/11.29
% 67.10/11.29
% 67.10/11.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 67.10/11.29
% 67.10/11.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 67.10/11.29
% 67.10/11.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 67.10/11.29 % ------ Proving...
% 67.10/11.29 % ------ Problem Properties
% 67.10/11.29
% 67.10/11.29 %
% 67.10/11.29 % clauses 3
% 67.10/11.29 % conjectures 1
% 67.10/11.29 % EPR 0
% 67.10/11.29 % Horn 3
% 67.10/11.29 % unary 2
% 67.10/11.29 % binary 0
% 67.10/11.29 % lits 5
% 67.10/11.29 % lits eq 0
% 67.10/11.29 % fd_pure 0
% 67.10/11.29 % fd_pseudo 0
% 67.10/11.29 % fd_cond 0
% 67.10/11.29 % fd_pseudo_cond 0
% 67.10/11.29 % AC symbols 0
% 67.10/11.29
% 67.10/11.29 % ------ Input Options Time Limit: Unbounded
% 67.10/11.29
% 67.10/11.29
% 67.10/11.29 % ------
% 67.10/11.29 % Current options:
% 67.10/11.29 % ------
% 67.10/11.29
% 67.10/11.29
% 67.10/11.29 %
% 67.10/11.29
% 67.10/11.29 % ------ Proving...
% 67.10/11.29 %
% 67.10/11.29
% 67.10/11.29 % SZS status Unsatisfiable for theBenchmark.p
% 67.10/11.29
% 67.10/11.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 67.10/11.29
% 67.10/11.29
%------------------------------------------------------------------------------