%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL131-1 : 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 : n004.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 02:05:44 PM UTC 2026
% Result : Unsatisfiable 46.82s 13.55s
% Output : CNFRefutation 46.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 24 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 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; 4 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn 151 !; 0 ?; 145 :)
% 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,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_6) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,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_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3)))) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),equivalent(X3,X5)))),
inference(superposition,[status(thm)],[c_53,c_106]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(superposition,[status(thm)],[c_136,c_106]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_151,c_54]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))),
inference(superposition,[status(thm)],[c_151,c_106]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3)))),
inference(superposition,[status(thm)],[c_136,c_165]) ).
tcf(c_245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X2),X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_166,c_54]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)),equivalent(X0,X3))),
inference(superposition,[status(thm)],[c_166,c_106]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_224,c_54]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))),
inference(superposition,[status(thm)],[c_53,c_245]) ).
tcf(c_334,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_224,c_245]) ).
tcf(c_408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,equivalent(X1,X3)))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2)))) ),
inference(superposition,[status(thm)],[c_332,c_54]) ).
tcf(c_410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
inference(superposition,[status(thm)],[c_332,c_245]) ).
tcf(c_463,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X1),X2))),
inference(superposition,[status(thm)],[c_224,c_286]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X3,X2)),equivalent(X0,X3))),
inference(superposition,[status(thm)],[c_166,c_408]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),equivalent(X1,X3))),equivalent(X0,X2))),
inference(superposition,[status(thm)],[c_332,c_408]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_334,c_54]) ).
tcf(c_736,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_658,c_54]) ).
tcf(c_740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1))))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_658,c_245]) ).
tcf(c_774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(X0,X4))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X4)) ),
inference(superposition,[status(thm)],[c_53,c_736]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X3)),X4))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),X4)) ),
inference(superposition,[status(thm)],[c_332,c_736]) ).
tcf(c_983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2))) ),
inference(superposition,[status(thm)],[c_246,c_54]) ).
tcf(c_1111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X3,X2))) ),
inference(superposition,[status(thm)],[c_597,c_54]) ).
tcf(c_1114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),equivalent(X1,X3)))) ),
inference(superposition,[status(thm)],[c_598,c_54]) ).
tcf(c_1124,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
inference(superposition,[status(thm)],[c_410,c_983]) ).
tcf(c_1125,plain,
! [X0: $i] : is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_463,c_983]) ).
tcf(c_1157,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_740,c_1114]) ).
tcf(c_1333,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)))),
inference(superposition,[status(thm)],[c_1124,c_1111]) ).
tcf(c_1382,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1333,c_54]) ).
tcf(c_1432,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2))),
inference(superposition,[status(thm)],[c_1333,c_1157]) ).
tcf(c_1534,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1432,c_54]) ).
tcf(c_1609,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X2,X2),X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_1382,c_54]) ).
tcf(c_1620,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X2))) ),
inference(superposition,[status(thm)],[c_1534,c_54]) ).
tcf(c_1674,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(equivalent(X1,X1),X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1125,c_1609]) ).
tcf(c_2142,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_410,c_1620]) ).
tcf(c_3957,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_1674,c_1111]) ).
tcf(c_4244,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)),X0)),
inference(superposition,[status(thm)],[c_1333,c_3957]) ).
tcf(c_9103,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
inference(superposition,[status(thm)],[c_4244,c_779]) ).
tcf(c_10371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X0)),
inference(superposition,[status(thm)],[c_9103,c_774]) ).
tcf(c_50814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
inference(superposition,[status(thm)],[c_10371,c_2142]) ).
tcf(c_50876,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_50814]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL131-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/5.44 % Computer : n004.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Wed Sep 23 22:02:41 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.21/5.51 Running first-order theorem proving
% 0.21/5.51 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
% 0.21/5.52
% 0.21/5.52 % ======== iProver multi-core TPTP/SMT =========
% 0.21/5.52
% 0.21/5.52 % Detected problem language: tptp
% 0.21/5.54 % Proving...
% 46.82/13.55 % SZS status Started for theBenchmark.p
% 46.82/13.55 % SZS status Unsatisfiable for theBenchmark.p
% 46.82/13.55
% 46.82/13.55 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 46.82/13.55
% 46.82/13.55 % ------ iProver source info
% 46.82/13.55
% 46.82/13.55 % git: date: 2026-07-19 20:42:38 +0200
% 46.82/13.55 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 46.82/13.55 % git: non_committed_changes: false
% 46.82/13.55
% 46.82/13.55 % ------ Parsing...% successful
% 46.82/13.55
% 46.82/13.55
% 46.82/13.55 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 46.82/13.55
% 46.82/13.55 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 46.82/13.55
% 46.82/13.55 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 46.82/13.55 % ------ Proving...
% 46.82/13.55 % ------ Problem Properties
% 46.82/13.55
% 46.82/13.55 %
% 46.82/13.55 % clauses 3
% 46.82/13.55 % conjectures 1
% 46.82/13.55 % EPR 0
% 46.82/13.55 % Horn 3
% 46.82/13.55 % unary 2
% 46.82/13.55 % binary 0
% 46.82/13.55 % lits 5
% 46.82/13.55 % lits eq 0
% 46.82/13.55 % fd_pure 0
% 46.82/13.55 % fd_pseudo 0
% 46.82/13.55 % fd_cond 0
% 46.82/13.55 % fd_pseudo_cond 0
% 46.82/13.55 % AC symbols 0
% 46.82/13.55
% 46.82/13.55 % ------ Schedule dynamic 5 is on
% 46.82/13.55
% 46.82/13.55 % ------ no equalities: superposition off
% 46.82/13.55
% 46.82/13.55 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 46.82/13.55
% 46.82/13.55
% 46.82/13.55 % ------
% 46.82/13.55 % Current options:
% 46.82/13.55 % ------
% 46.82/13.55
% 46.82/13.55
% 46.82/13.55 %
% 46.82/13.55
% 46.82/13.55 % ------ Proving...
% 46.82/13.55 %
% 46.82/13.55
% 46.82/13.55 % SZS status Unsatisfiable for theBenchmark.p
% 46.82/13.55
% 46.82/13.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.82/13.55
% 46.82/13.55
%------------------------------------------------------------------------------