%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL083-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 02:05:36 PM UTC 2026
% Result : Unsatisfiable 7.26s 2.20s
% Output : CNFRefutation 7.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 31 unt; 3 def)
% Number of atoms : 116 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 44 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn 99 !; 0 ?; 92 :)
% 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] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(X0,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_1) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).
tcf(c_53,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_54,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_55,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_71,definition,
iPr_def_10 = implies(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_72,definition,
iPr_def_11 = implies(iPr_def_10,a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_73,definition,
iPr_def_12 = implies(iPr_def_11,a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_74,negated_conjecture,
~ is_a_theorem(iPr_def_12),
inference(demodulation,[status(thm)],[c_56,c_71,c_72,c_73]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(iPr_def_10,X0),implies(implies(X0,a),implies(X1,a)))),
inference(superposition,[status(thm)],[c_71,c_54]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(iPr_def_12,X0),implies(implies(X0,iPr_def_11),implies(X1,iPr_def_11)))),
inference(superposition,[status(thm)],[c_73,c_54]) ).
tcf(c_195,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_54,c_53]) ).
tcf(c_211,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_10,iPr_def_10),implies(iPr_def_11,implies(X0,a)))),
inference(superposition,[status(thm)],[c_72,c_186]) ).
tcf(c_281,plain,
is_a_theorem(implies(implies(iPr_def_10,iPr_def_10),implies(iPr_def_11,iPr_def_12))),
inference(superposition,[status(thm)],[c_73,c_211]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,iPr_def_11),implies(X1,iPr_def_11)))
| ~ is_a_theorem(implies(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_188,c_53]) ).
tcf(c_589,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_54,c_195]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(superposition,[status(thm)],[c_55,c_195]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,iPr_def_11),X0),implies(X2,X0)))
| ~ is_a_theorem(implies(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_387,c_195]) ).
tcf(c_740,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_590,c_53]) ).
tcf(c_893,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_590,c_740]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_893,c_195]) ).
tcf(c_1000,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_918,c_53]) ).
tcf(c_1056,plain,
! [X0: $i] : is_a_theorem(implies(X0,implies(iPr_def_11,iPr_def_12))),
inference(superposition,[status(thm)],[c_281,c_1000]) ).
tcf(c_1089,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(iPr_def_11,iPr_def_12),X0),implies(X1,X0))),
inference(superposition,[status(thm)],[c_1056,c_195]) ).
tcf(c_1296,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_589,c_53]) ).
tcf(c_1543,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_918,c_1296]) ).
tcf(c_1550,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(a,X1)))
| ~ is_a_theorem(implies(implies(iPr_def_12,implies(X0,a)),implies(a,X1))) ),
inference(superposition,[status(thm)],[c_73,c_1296]) ).
tcf(c_1622,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1543,c_53]) ).
tcf(c_2153,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_589,c_1622]) ).
tcf(c_2203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X1),implies(X3,X1))))),
inference(superposition,[status(thm)],[c_2153,c_1296]) ).
tcf(c_2958,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(implies(iPr_def_11,iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_1089,c_53]) ).
tcf(c_5673,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(a,implies(iPr_def_12,implies(X1,a))))),
inference(superposition,[status(thm)],[c_2153,c_1550]) ).
tcf(c_8061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,X1),implies(X3,X1))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_2203,c_53]) ).
tcf(c_9795,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X0),implies(X2,X0)))),
inference(superposition,[status(thm)],[c_5673,c_8061]) ).
tcf(c_10649,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(iPr_def_12,X1))
| ~ is_a_theorem(implies(implies(X0,iPr_def_11),X1)) ),
inference(superposition,[status(thm)],[c_612,c_53]) ).
tcf(c_11052,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(implies(iPr_def_11,X0),implies(X1,X0))))
| ~ is_a_theorem(implies(iPr_def_12,implies(implies(iPr_def_11,X0),implies(X1,X0)))) ),
inference(superposition,[status(thm)],[c_54,c_10649]) ).
tcf(c_15617,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(iPr_def_11,iPr_def_12),implies(X1,iPr_def_12)))),
inference(superposition,[status(thm)],[c_9795,c_11052]) ).
tcf(c_15959,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(iPr_def_11,iPr_def_12),implies(X1,iPr_def_12)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_15617,c_53]) ).
tcf(c_16427,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_11,iPr_def_12),implies(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_9795,c_15959]) ).
tcf(c_16446,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,iPr_def_12))),
inference(superposition,[status(thm)],[c_16427,c_2958]) ).
tcf(c_16448,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,iPr_def_12))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_16446,c_53]) ).
tcf(c_16669,plain,
! [X0: $i] : is_a_theorem(implies(X0,iPr_def_12)),
inference(superposition,[status(thm)],[c_9795,c_16448]) ).
tcf(c_16681,plain,
! [X0: $i] :
( is_a_theorem(iPr_def_12)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_16669,c_53]) ).
tcf(c_16709,plain,
! [X0: $i] : ~ is_a_theorem(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_16681,c_74]) ).
tcf(c_16710,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_16669,c_16709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL083-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n026.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 21:54:23 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.43 % Detected problem language: tptp
% 0.15/0.44 % Proving...
% 7.26/2.20 % SZS status Started for theBenchmark.p
% 7.26/2.20 % SZS status Unsatisfiable for theBenchmark.p
% 7.26/2.20
% 7.26/2.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.26/2.20
% 7.26/2.20 % ------ iProver source info
% 7.26/2.20
% 7.26/2.20 % git: date: 2026-07-19 20:42:38 +0200
% 7.26/2.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.26/2.20 % git: non_committed_changes: false
% 7.26/2.20
% 7.26/2.20 % ------ Parsing...% successful
% 7.26/2.20
% 7.26/2.20
% 7.26/2.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.26/2.20
% 7.26/2.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 7.26/2.20
% 7.26/2.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.26/2.20
% 7.26/2.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.26/2.20 % ------ Proving...
% 7.26/2.20 % ------ Problem Properties
% 7.26/2.20
% 7.26/2.20 %
% 7.26/2.20 % clauses 7
% 7.26/2.20 % conjectures 1
% 7.26/2.20 % EPR 1
% 7.26/2.20 % Horn 7
% 7.26/2.20 % unary 6
% 7.26/2.20 % binary 0
% 7.26/2.20 % lits 9
% 7.26/2.20 % lits eq 3
% 7.26/2.20 % fd_pure 0
% 7.26/2.20 % fd_pseudo 0
% 7.26/2.20 % fd_cond 0
% 7.26/2.20 % fd_pseudo_cond 0
% 7.26/2.20 % AC symbols 0
% 7.26/2.20
% 7.26/2.20 % ------ Schedule dynamic 5 is on
% 7.26/2.20
% 7.26/2.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.26/2.20
% 7.26/2.20
% 7.26/2.20 % ------
% 7.26/2.20 % Current options:
% 7.26/2.20 % ------
% 7.26/2.20
% 7.26/2.20
% 7.26/2.20 %
% 7.26/2.20
% 7.26/2.20 % ------ Proving...
% 7.26/2.20 %
% 7.26/2.20
% 7.26/2.20 % SZS status Unsatisfiable for theBenchmark.p
% 7.26/2.20
% 7.26/2.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.26/2.20
% 7.26/2.20
%------------------------------------------------------------------------------