%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL090-1 : 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 : n003.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 02:05:37 PM UTC 2026
% Result : Unsatisfiable 5.91s 2.30s
% Output : CNFRefutation 10.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 3
% Syntax : Number of formulae : 55 ( 34 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 232 ( 0 sgn 232 !; 0 ?; 225 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox2/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(implies(X3,X0),implies(X4,implies(X2,X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_1) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(implies(a,a)),
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(implies(X3,X0),implies(X4,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_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
inference(superposition,[status(thm)],[c_53,c_114]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3))))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_140,c_54]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_140,c_154]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_205,c_54]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))),
inference(superposition,[status(thm)],[c_53,c_230]) ).
tcf(c_339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(superposition,[status(thm)],[c_288,c_114]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_339,c_154]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_561,c_54]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_53,c_610]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(superposition,[status(thm)],[c_698,c_114]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_707,c_54]) ).
tcf(c_835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X1)))))),
inference(superposition,[status(thm)],[c_707,c_784]) ).
tcf(c_949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
inference(superposition,[status(thm)],[c_53,c_949]) ).
tcf(c_990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3))))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_977,c_54]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_977,c_990]) ).
tcf(c_1012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_998,c_54]) ).
tcf(c_2062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))),
inference(superposition,[status(thm)],[c_835,c_1012]) ).
tcf(c_2073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(superposition,[status(thm)],[c_2062,c_949]) ).
tcf(c_2130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_2073,c_54]) ).
tcf(c_2132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_2073,c_990]) ).
tcf(c_2280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_53,c_2130]) ).
tcf(c_2286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X2))))))),
inference(superposition,[status(thm)],[c_835,c_2130]) ).
tcf(c_2524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_2280,c_54]) ).
tcf(c_2690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_2132,c_54]) ).
tcf(c_3200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_2286,c_2524]) ).
tcf(c_3222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_2286,c_2690]) ).
tcf(c_4035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(superposition,[status(thm)],[c_3222,c_949]) ).
tcf(c_4542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X3,X0))),implies(X4,implies(X5,implies(X2,implies(X3,X0)))))),
inference(superposition,[status(thm)],[c_4035,c_949]) ).
tcf(c_5830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X4,implies(X5,implies(X2,implies(X3,X0)))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X0)))) ),
inference(superposition,[status(thm)],[c_4542,c_54]) ).
tcf(c_6877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))),
inference(superposition,[status(thm)],[c_53,c_5830]) ).
tcf(c_6885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_3222,c_5830]) ).
tcf(c_7064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_6877,c_54]) ).
tcf(c_7245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_6885,c_54]) ).
tcf(c_7427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_3200,c_7245]) ).
tcf(c_7435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X1))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7427,c_54]) ).
tcf(c_7474,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_3200,c_7435]) ).
tcf(c_8172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(X2,X2))))),
inference(superposition,[status(thm)],[c_7474,c_7064]) ).
tcf(c_8184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_8172,c_54]) ).
tcf(c_8223,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,X1)))),
inference(superposition,[status(thm)],[c_7474,c_8184]) ).
tcf(c_9437,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_8223,c_5830]) ).
tcf(c_9574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9437,c_54]) ).
tcf(c_9850,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_7474,c_9574]) ).
tcf(c_9864,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9850,c_54]) ).
tcf(c_9904,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_7474,c_9864]) ).
tcf(c_9918,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9904,c_54]) ).
tcf(c_9958,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_7474,c_9918]) ).
tcf(c_9970,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_9958]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL090-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 21:54:49 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 0.16/0.43
% 0.16/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.43
% 0.16/0.43 % Detected problem language: tptp
% 0.16/0.44 % Proving...
% 5.91/2.30 % SZS status Started for theBenchmark.p
% 5.91/2.30 % SZS status Unsatisfiable for theBenchmark.p
% 5.91/2.30
% 5.91/2.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.91/2.30
% 5.91/2.30 % ------ iProver source info
% 5.91/2.30
% 5.91/2.30 % git: date: 2026-07-19 20:42:38 +0200
% 5.91/2.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.91/2.30 % git: non_committed_changes: false
% 5.91/2.30
% 5.91/2.30 % ------ Parsing...% successful
% 5.91/2.30
% 5.91/2.30
% 5.91/2.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.91/2.30
% 5.91/2.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 5.91/2.30
% 5.91/2.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 5.91/2.30 % ------ Proving...
% 5.91/2.30 % ------ Problem Properties
% 5.91/2.30
% 5.91/2.30 %
% 5.91/2.30 % clauses 3
% 5.91/2.30 % conjectures 1
% 5.91/2.30 % EPR 0
% 5.91/2.30 % Horn 3
% 5.91/2.30 % unary 2
% 5.91/2.30 % binary 0
% 5.91/2.30 % lits 5
% 5.91/2.30 % lits eq 0
% 5.91/2.30 % fd_pure 0
% 5.91/2.30 % fd_pseudo 0
% 5.91/2.30 % fd_cond 0
% 5.91/2.30 % fd_pseudo_cond 0
% 5.91/2.30 % AC symbols 0
% 5.91/2.30
% 5.91/2.30 % ------ Schedule dynamic 5 is on
% 5.91/2.30
% 5.91/2.30 % ------ no equalities: superposition off
% 5.91/2.30
% 5.91/2.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.91/2.30
% 5.91/2.30
% 5.91/2.30 % ------
% 5.91/2.30 % Current options:
% 5.91/2.30 % ------
% 5.91/2.30
% 5.91/2.30
% 5.91/2.30 %
% 5.91/2.30
% 5.91/2.30 % ------ Proving...
% 5.91/2.30 %
% 5.91/2.30
% 5.91/2.30 % SZS status Unsatisfiable for theBenchmark.p
% 5.91/2.30
% 5.91/2.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.47/2.30
% 10.47/2.30
%------------------------------------------------------------------------------