%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL094-1 : 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 : n015.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 02:05:38 PM UTC 2026
% Result : Unsatisfiable 20.91s 9.64s
% Output : CNFRefutation 20.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of formulae : 62 ( 39 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 209 ( 0 sgn 209 !; 0 ?; 202 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_5) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(superposition,[status(thm)],[c_53,c_111]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_143,c_54]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(superposition,[status(thm)],[c_53,c_162]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_225,c_54]) ).
tcf(c_320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
inference(superposition,[status(thm)],[c_53,c_233]) ).
tcf(c_322,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(superposition,[status(thm)],[c_225,c_233]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_320,c_54]) ).
tcf(c_465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4)))),
inference(superposition,[status(thm)],[c_320,c_111]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_53,c_464]) ).
tcf(c_522,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_511,c_54]) ).
tcf(c_624,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_522,c_54]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_322,c_54]) ).
tcf(c_1191,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_53,c_701]) ).
tcf(c_1213,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_1191,c_111]) ).
tcf(c_1484,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1213,c_54]) ).
tcf(c_1807,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
inference(superposition,[status(thm)],[c_1213,c_1484]) ).
tcf(c_1810,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X1,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_1807,c_624]) ).
tcf(c_1813,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_1807,c_233]) ).
tcf(c_2824,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1813,c_54]) ).
tcf(c_2825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
inference(superposition,[status(thm)],[c_1813,c_111]) ).
tcf(c_2982,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_1813,c_2824]) ).
tcf(c_2988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(superposition,[status(thm)],[c_2982,c_111]) ).
tcf(c_3681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_2825,c_54]) ).
tcf(c_3697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_2988,c_54]) ).
tcf(c_3950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
inference(superposition,[status(thm)],[c_1813,c_1810]) ).
tcf(c_4163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X3)))))),
inference(superposition,[status(thm)],[c_3950,c_1810]) ).
tcf(c_4909,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(superposition,[status(thm)],[c_4163,c_3681]) ).
tcf(c_4935,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(superposition,[status(thm)],[c_4163,c_3697]) ).
tcf(c_4988,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_4909,c_54]) ).
tcf(c_4999,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_4935,c_54]) ).
tcf(c_5001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))),
inference(superposition,[status(thm)],[c_4935,c_111]) ).
tcf(c_5167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X0),X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_511,c_4988]) ).
tcf(c_5713,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_4909,c_4999]) ).
tcf(c_5754,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_5713,c_1810]) ).
tcf(c_5942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_5754,c_111]) ).
tcf(c_5945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(superposition,[status(thm)],[c_5754,c_1810]) ).
tcf(c_6035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_465,c_54]) ).
tcf(c_6270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(superposition,[status(thm)],[c_4163,c_6035]) ).
tcf(c_6396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X0)),X3),implies(X4,X3)))),
inference(superposition,[status(thm)],[c_5167,c_4988]) ).
tcf(c_6671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X4)))))),
inference(superposition,[status(thm)],[c_5945,c_1810]) ).
tcf(c_6923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_5942,c_54]) ).
tcf(c_8431,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_6671,c_6923]) ).
tcf(c_12888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_5001,c_54]) ).
tcf(c_13186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_6270,c_54]) ).
tcf(c_14988,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_6396,c_12888]) ).
tcf(c_15730,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_14988,c_54]) ).
tcf(c_15739,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(superposition,[status(thm)],[c_14988,c_13186]) ).
tcf(c_18828,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(superposition,[status(thm)],[c_4935,c_15730]) ).
tcf(c_18849,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))),
inference(superposition,[status(thm)],[c_8431,c_15730]) ).
tcf(c_18853,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(superposition,[status(thm)],[c_15739,c_15730]) ).
tcf(c_19433,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_18828,c_54]) ).
tcf(c_20797,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(superposition,[status(thm)],[c_18849,c_19433]) ).
tcf(c_20801,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_20797,c_54]) ).
tcf(c_21081,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_18853,c_20801]) ).
tcf(c_21086,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_21081]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL094-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n015.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.38 % DateTime : Wed Sep 23 21:57:00 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.42 Running first-order theorem proving
% 0.13/5.42 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
% 0.13/5.43
% 0.13/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.43
% 0.13/5.43 % Detected problem language: tptp
% 0.13/5.44 % Proving...
% 20.91/9.64 % SZS status Started for theBenchmark.p
% 20.91/9.64 % SZS status Unsatisfiable for theBenchmark.p
% 20.91/9.64
% 20.91/9.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 20.91/9.64
% 20.91/9.64 % ------ iProver source info
% 20.91/9.64
% 20.91/9.64 % git: date: 2026-07-19 20:42:38 +0200
% 20.91/9.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 20.91/9.64 % git: non_committed_changes: false
% 20.91/9.64
% 20.91/9.64 % ------ Parsing...% successful
% 20.91/9.64
% 20.91/9.64
% 20.91/9.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 20.91/9.64
% 20.91/9.64 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 20.91/9.64
% 20.91/9.64 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 20.91/9.64 % ------ Proving...
% 20.91/9.64 % ------ Problem Properties
% 20.91/9.64
% 20.91/9.64 %
% 20.91/9.64 % clauses 3
% 20.91/9.64 % conjectures 1
% 20.91/9.64 % EPR 0
% 20.91/9.64 % Horn 3
% 20.91/9.64 % unary 2
% 20.91/9.64 % binary 0
% 20.91/9.64 % lits 5
% 20.91/9.64 % lits eq 0
% 20.91/9.64 % fd_pure 0
% 20.91/9.64 % fd_pseudo 0
% 20.91/9.65 % fd_cond 0
% 20.91/9.65 % fd_pseudo_cond 0
% 20.91/9.65 % AC symbols 0
% 20.91/9.65
% 20.91/9.65 % ------ Schedule dynamic 5 is on
% 20.91/9.65
% 20.91/9.65 % ------ no equalities: superposition off
% 20.91/9.65
% 20.91/9.65 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.91/9.65
% 20.91/9.65
% 20.91/9.65 % ------
% 20.91/9.65 % Current options:
% 20.91/9.65 % ------
% 20.91/9.65
% 20.91/9.65
% 20.91/9.65 %
% 20.91/9.65
% 20.91/9.65 % ------ Proving...
% 20.91/9.65 %
% 20.91/9.65
% 20.91/9.65 % SZS status Unsatisfiable for theBenchmark.p
% 20.91/9.65
% 20.91/9.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.91/9.65
% 20.91/9.65
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