%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL091-1 : 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 : n026.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 8.54s 2.72s
% Output : CNFRefutation 8.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 3
% Syntax : Number of formulae : 60 ( 37 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 248 ( 0 sgn 248 !; 0 ?; 241 :)
% 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(implies(X3,X0),implies(X4,implies(X2,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_2) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,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_562,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_611,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_562,c_54]) ).
tcf(c_699,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_611]) ).
tcf(c_708,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_699,c_114]) ).
tcf(c_786,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_708,c_54]) ).
tcf(c_837,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_708,c_786]) ).
tcf(c_951,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_980,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_951]) ).
tcf(c_994,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_980,c_54]) ).
tcf(c_1002,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_980,c_994]) ).
tcf(c_1016,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_1002,c_54]) ).
tcf(c_1962,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_837,c_1016]) ).
tcf(c_2116,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_1962,c_951]) ).
tcf(c_2229,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_2116,c_54]) ).
tcf(c_2231,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_2116,c_994]) ).
tcf(c_2328,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_2229]) ).
tcf(c_2334,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_837,c_2229]) ).
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_2231,c_54]) ).
tcf(c_2702,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_2328,c_54]) ).
tcf(c_3240,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_2334,c_2690]) ).
tcf(c_3270,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_2334,c_2702]) ).
tcf(c_4092,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_3240,c_951]) ).
tcf(c_4541,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_4092,c_951]) ).
tcf(c_5701,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_4541,c_54]) ).
tcf(c_6796,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_5701]) ).
tcf(c_6804,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_3240,c_5701]) ).
tcf(c_6989,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_6796,c_54]) ).
tcf(c_7208,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_3270,c_6989]) ).
tcf(c_7225,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_6804,c_54]) ).
tcf(c_7398,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_7208,c_54]) ).
tcf(c_7453,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_3270,c_7225]) ).
tcf(c_7501,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_7453,c_54]) ).
tcf(c_7568,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_3270,c_7501]) ).
tcf(c_7621,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,X1)))),
inference(superposition,[status(thm)],[c_7568,c_7398]) ).
tcf(c_7655,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_7621,c_5701]) ).
tcf(c_7772,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_7655,c_54]) ).
tcf(c_8240,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_7568,c_7772]) ).
tcf(c_9137,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_8240,c_54]) ).
tcf(c_9177,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_7568,c_9137]) ).
tcf(c_9188,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9177,c_54]) ).
tcf(c_9604,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_7568,c_9188]) ).
tcf(c_9624,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_9604,c_5701]) ).
tcf(c_9697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9624,c_54]) ).
tcf(c_9879,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_7568,c_9697]) ).
tcf(c_9893,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9879,c_54]) ).
tcf(c_9932,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_7568,c_9893]) ).
tcf(c_9945,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_9932]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL091-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 21:55:53 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 8.54/2.72 % SZS status Started for theBenchmark.p
% 8.54/2.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.54/2.72
% 8.54/2.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.54/2.72
% 8.54/2.72 % ------ iProver source info
% 8.54/2.72
% 8.54/2.72 % git: date: 2026-07-19 20:42:38 +0200
% 8.54/2.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.54/2.72 % git: non_committed_changes: false
% 8.54/2.72
% 8.54/2.72 % ------ Parsing...% successful
% 8.54/2.72
% 8.54/2.72
% 8.54/2.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.54/2.72
% 8.54/2.72 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.54/2.72
% 8.54/2.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.54/2.72 % ------ Proving...
% 8.54/2.72 % ------ Problem Properties
% 8.54/2.72
% 8.54/2.72 %
% 8.54/2.72 % clauses 3
% 8.54/2.72 % conjectures 1
% 8.54/2.72 % EPR 0
% 8.54/2.72 % Horn 3
% 8.54/2.72 % unary 2
% 8.54/2.72 % binary 0
% 8.54/2.72 % lits 5
% 8.54/2.72 % lits eq 0
% 8.54/2.72 % fd_pure 0
% 8.54/2.72 % fd_pseudo 0
% 8.54/2.72 % fd_cond 0
% 8.54/2.72 % fd_pseudo_cond 0
% 8.54/2.72 % AC symbols 0
% 8.54/2.72
% 8.54/2.72 % ------ Schedule dynamic 5 is on
% 8.54/2.72
% 8.54/2.72 % ------ no equalities: superposition off
% 8.54/2.72
% 8.54/2.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.54/2.72
% 8.54/2.72
% 8.54/2.72 % ------
% 8.54/2.72 % Current options:
% 8.54/2.72 % ------
% 8.54/2.72
% 8.54/2.72
% 8.54/2.72 %
% 8.54/2.72
% 8.54/2.72 % ------ Proving...
% 8.54/2.72 %
% 8.54/2.72
% 8.54/2.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.54/2.72
% 8.54/2.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.54/2.72
% 8.54/2.72
%------------------------------------------------------------------------------