%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL072-1 : 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 : n007.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 02:05:34 PM UTC 2026
% Result : Unsatisfiable 1.37s 1.78s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 23 unt; 3 def)
% Number of atoms : 90 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?; 44 :)
% 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,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_19) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_37) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_60) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_3) ).
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_55,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_76,definition,
iPr_def_10 = not(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_77,definition,
iPr_def_11 = implies(iPr_def_10,b),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_78,definition,
iPr_def_12 = implies(a,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_79,negated_conjecture,
~ is_a_theorem(iPr_def_12),
inference(demodulation,[status(thm)],[c_58,c_76,c_77,c_78]) ).
tcf(c_197,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(X0,a),iPr_def_11),iPr_def_12)),
inference(superposition,[status(thm)],[c_78,c_55]) ).
tcf(c_198,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_55,c_54]) ).
tcf(c_214,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_11,X0),implies(not(iPr_def_10),X0))),
inference(superposition,[status(thm)],[c_77,c_56]) ).
tcf(c_215,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_12,X0),implies(not(a),X0))),
inference(superposition,[status(thm)],[c_78,c_56]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(a,X0),X1),implies(iPr_def_10,X1))),
inference(superposition,[status(thm)],[c_76,c_56]) ).
tcf(c_218,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_12,X0),implies(iPr_def_10,X0))),
inference(light_normalisation,[status(thm)],[c_215,c_76]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))
| ~ is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_255,plain,
is_a_theorem(implies(implies(iPr_def_12,b),iPr_def_11)),
inference(superposition,[status(thm)],[c_77,c_218]) ).
tcf(c_305,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(iPr_def_10,X1))
| ~ is_a_theorem(implies(implies(a,X0),X1)) ),
inference(superposition,[status(thm)],[c_216,c_54]) ).
tcf(c_330,plain,
is_a_theorem(implies(iPr_def_11,iPr_def_12)),
inference(superposition,[status(thm)],[c_197,c_198]) ).
tcf(c_1163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X3),X2)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_230,c_54]) ).
tcf(c_4346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X2),implies(implies(X0,X3),X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_56,c_1163]) ).
tcf(c_4349,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),implies(implies(iPr_def_10,X1),X0)))
| ~ is_a_theorem(implies(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_214,c_1163]) ).
tcf(c_6052,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(iPr_def_10,X0),X1))
| ~ is_a_theorem(implies(iPr_def_11,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_4349,c_54]) ).
tcf(c_8384,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(iPr_def_11,X1))
| ~ is_a_theorem(implies(iPr_def_10,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_6052,c_54]) ).
tcf(c_9584,plain,
! [X0: $i] : is_a_theorem(implies(implies(X0,iPr_def_11),implies(implies(iPr_def_12,X0),iPr_def_11))),
inference(superposition,[status(thm)],[c_255,c_4346]) ).
tcf(c_9732,plain,
is_a_theorem(implies(iPr_def_10,implies(implies(iPr_def_12,a),iPr_def_11))),
inference(superposition,[status(thm)],[c_9584,c_305]) ).
tcf(c_10720,plain,
! [X0: $i] :
( is_a_theorem(iPr_def_12)
| ~ is_a_theorem(implies(iPr_def_11,iPr_def_12))
| ~ is_a_theorem(implies(iPr_def_10,implies(implies(X0,a),iPr_def_11))) ),
inference(superposition,[status(thm)],[c_197,c_8384]) ).
tcf(c_10939,plain,
! [X0: $i] : ~ is_a_theorem(implies(iPr_def_10,implies(implies(X0,a),iPr_def_11))),
inference(forward_subsumption_resolution,[status(thm)],[c_10720,c_79,c_330]) ).
tcf(c_11317,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_9732,c_10939]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL072-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n007.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 21:46:53 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.37/1.78 % SZS status Started for theBenchmark.p
% 1.37/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.78
% 1.37/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.37/1.78
% 1.37/1.78 % ------ iProver source info
% 1.37/1.78
% 1.37/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 1.37/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.37/1.78 % git: non_committed_changes: false
% 1.37/1.78
% 1.37/1.78 % ------ Parsing...% successful
% 1.37/1.78
% 1.37/1.78
% 1.37/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.37/1.78
% 1.37/1.78 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.37/1.78
% 1.37/1.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.37/1.78
% 1.37/1.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.37/1.78 % ------ Proving...
% 1.37/1.78 % ------ Problem Properties
% 1.37/1.78
% 1.37/1.78 %
% 1.37/1.78 % clauses 8
% 1.37/1.78 % conjectures 1
% 1.37/1.78 % EPR 1
% 1.37/1.78 % Horn 8
% 1.37/1.78 % unary 7
% 1.37/1.78 % binary 0
% 1.37/1.78 % lits 10
% 1.37/1.78 % lits eq 3
% 1.37/1.78 % fd_pure 0
% 1.37/1.78 % fd_pseudo 0
% 1.37/1.78 % fd_cond 0
% 1.37/1.78 % fd_pseudo_cond 0
% 1.37/1.78 % AC symbols 0
% 1.37/1.78
% 1.37/1.78 % ------ Schedule dynamic 5 is on
% 1.37/1.78
% 1.37/1.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.37/1.78
% 1.37/1.78
% 1.37/1.78 % ------
% 1.37/1.78 % Current options:
% 1.37/1.78 % ------
% 1.37/1.78
% 1.37/1.78
% 1.37/1.78 %
% 1.37/1.78
% 1.37/1.78 % ------ Proving...
% 1.37/1.78 %
% 1.37/1.78
% 1.37/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 1.37/1.78
% 1.37/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.37/1.78
% 1.37/1.78
%------------------------------------------------------------------------------