%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL083-1 : 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 : n002.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 02:05:36 PM UTC 2026
% Result : Unsatisfiable 18.90s 8.31s
% Output : CNFRefutation 18.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of formulae : 44 ( 28 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 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 : 148 ( 0 sgn 148 !; 0 ?; 142 :)
% 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] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_3) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(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(implies(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_124,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_107]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))),
inference(superposition,[status(thm)],[c_124,c_107]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X5,implies(implies(X3,X1),implies(X4,X1))))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1)))) ),
inference(superposition,[status(thm)],[c_148,c_54]) ).
tcf(c_431,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_53,c_275]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,X2)))),
inference(superposition,[status(thm)],[c_124,c_275]) ).
tcf(c_512,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_432,c_54]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,X1))),
inference(superposition,[status(thm)],[c_431,c_512]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_584,c_54]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,implies(X1,X2)))),
inference(superposition,[status(thm)],[c_124,c_599]) ).
tcf(c_21317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_21325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X0),implies(X3,X0))),
inference(superposition,[status(thm)],[c_673,c_21317]) ).
tcf(c_21326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X0)) ),
inference(superposition,[status(thm)],[c_21325,c_54]) ).
tcf(c_21334,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,X2)))),
inference(superposition,[status(thm)],[c_21325,c_21326]) ).
tcf(c_21335,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X1,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_21334,c_54]) ).
tcf(c_21350,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,X1),implies(X0,X1))),
inference(superposition,[status(thm)],[c_53,c_21335]) ).
tcf(c_21356,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(superposition,[status(thm)],[c_21350,c_21317]) ).
tcf(c_21391,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_21356,c_54]) ).
tcf(c_21392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X1,X2)))),
inference(superposition,[status(thm)],[c_21356,c_21317]) ).
tcf(c_21407,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_21356,c_21391]) ).
tcf(c_21414,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_21407,c_21317]) ).
tcf(c_21433,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_21414,c_54]) ).
tcf(c_21445,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_53,c_21433]) ).
tcf(c_21453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),implies(X2,X0)),X3),implies(X4,X3))),
inference(superposition,[status(thm)],[c_21445,c_21317]) ).
tcf(c_21533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X3,X1)),implies(X4,implies(X3,X1)))),
inference(superposition,[status(thm)],[c_21392,c_21317]) ).
tcf(c_21550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X3,X1)))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_21533,c_54]) ).
tcf(c_21644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,X3))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X0),implies(X2,X0)),X3)) ),
inference(superposition,[status(thm)],[c_21453,c_54]) ).
tcf(c_21646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2))))),
inference(superposition,[status(thm)],[c_21453,c_21433]) ).
tcf(c_21696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))),
inference(superposition,[status(thm)],[c_53,c_21550]) ).
tcf(c_21712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_21696,c_54]) ).
tcf(c_21735,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(superposition,[status(thm)],[c_53,c_21712]) ).
tcf(c_21769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X0,X1),X2)),implies(X3,implies(implies(X0,X1),X2)))),
inference(superposition,[status(thm)],[c_21735,c_21317]) ).
tcf(c_22209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),X2)))),
inference(superposition,[status(thm)],[c_21769,c_21644]) ).
tcf(c_22276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_22209,c_54]) ).
tcf(c_22522,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(superposition,[status(thm)],[c_21646,c_22276]) ).
tcf(c_22679,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_22522,c_54]) ).
tcf(c_22743,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(superposition,[status(thm)],[c_21646,c_22679]) ).
tcf(c_22778,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_22743]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL083-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n002.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 21:54:10 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.44
% 0.15/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 18.90/8.31 % SZS status Started for theBenchmark.p
% 18.90/8.31 % SZS status Unsatisfiable for theBenchmark.p
% 18.90/8.31
% 18.90/8.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.90/8.31
% 18.90/8.31 % ------ iProver source info
% 18.90/8.31
% 18.90/8.31 % git: date: 2026-07-19 20:42:38 +0200
% 18.90/8.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.90/8.31 % git: non_committed_changes: false
% 18.90/8.31
% 18.90/8.31 % ------ Parsing...% successful
% 18.90/8.31
% 18.90/8.31
% 18.90/8.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.90/8.31
% 18.90/8.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 18.90/8.31
% 18.90/8.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 18.90/8.31 % ------ Proving...
% 18.90/8.31 % ------ Problem Properties
% 18.90/8.31
% 18.90/8.31 %
% 18.90/8.31 % clauses 3
% 18.90/8.31 % conjectures 1
% 18.90/8.31 % EPR 0
% 18.90/8.31 % Horn 3
% 18.90/8.31 % unary 2
% 18.90/8.31 % binary 0
% 18.90/8.31 % lits 5
% 18.90/8.31 % lits eq 0
% 18.90/8.31 % fd_pure 0
% 18.90/8.31 % fd_pseudo 0
% 18.90/8.31 % fd_cond 0
% 18.90/8.31 % fd_pseudo_cond 0
% 18.90/8.31 % AC symbols 0
% 18.90/8.31
% 18.90/8.31 % ------ Schedule dynamic 5 is on
% 18.90/8.31
% 18.90/8.31 % ------ no equalities: superposition off
% 18.90/8.31
% 18.90/8.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.90/8.31
% 18.90/8.31
% 18.90/8.31 % ------
% 18.90/8.31 % Current options:
% 18.90/8.31 % ------
% 18.90/8.31
% 18.90/8.31
% 18.90/8.31 %
% 18.90/8.31
% 18.90/8.31 % ------ Proving...
% 18.90/8.31 %
% 18.90/8.31
% 18.90/8.31 % SZS status Unsatisfiable for theBenchmark.p
% 18.90/8.31
% 18.90/8.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.90/8.31
% 18.90/8.31
%------------------------------------------------------------------------------