%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL366-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 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 02:06:26 PM UTC 2026
% Result : Unsatisfiable 15.85s 3.28s
% Output : CNFRefutation 15.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 24 unt; 5 def)
% Number of atoms : 99 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 27 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 37 :)
% 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,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_15) ).
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(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_76,definition,
iPr_def_10 = not(x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_77,definition,
iPr_def_11 = implies(iPr_def_10,y),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_78,definition,
iPr_def_12 = implies(y,x),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_79,definition,
iPr_def_13 = implies(iPr_def_12,x),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_80,definition,
iPr_def_14 = implies(iPr_def_11,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_81,negated_conjecture,
~ is_a_theorem(iPr_def_14),
inference(demodulation,[status(thm)],[c_58,c_78,c_79,c_76,c_77,c_80]) ).
tcf(c_190,plain,
is_a_theorem(implies(implies(iPr_def_10,x),x)),
inference(superposition,[status(thm)],[c_76,c_56]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_221,plain,
! [X0: $i] : is_a_theorem(implies(iPr_def_11,implies(implies(y,X0),implies(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_77,c_55]) ).
tcf(c_231,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_11,X0),implies(implies(X0,iPr_def_13),iPr_def_14))),
inference(superposition,[status(thm)],[c_80,c_55]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_348,plain,
is_a_theorem(implies(iPr_def_11,implies(iPr_def_12,implies(iPr_def_10,x)))),
inference(superposition,[status(thm)],[c_78,c_221]) ).
tcf(c_579,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(X0,iPr_def_13),iPr_def_14))
| ~ is_a_theorem(implies(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_231,c_54]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_232,c_54]) ).
tcf(c_750,plain,
! [X0: $i] :
( is_a_theorem(iPr_def_14)
| ~ is_a_theorem(implies(iPr_def_11,X0))
| ~ is_a_theorem(implies(X0,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_579,c_54]) ).
tcf(c_751,plain,
! [X0: $i] :
( ~ is_a_theorem(implies(iPr_def_11,X0))
| ~ is_a_theorem(implies(X0,iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_750,c_81]) ).
tcf(c_797,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_621]) ).
tcf(c_814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X1),X2))
| ~ is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_232,c_621]) ).
tcf(c_820,plain,
! [X0: $i] :
( is_a_theorem(implies(iPr_def_11,X0))
| ~ is_a_theorem(implies(implies(iPr_def_12,implies(iPr_def_10,x)),X0)) ),
inference(superposition,[status(thm)],[c_348,c_621]) ).
tcf(c_8550,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_56,c_814]) ).
tcf(c_8706,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(superposition,[status(thm)],[c_8550,c_797]) ).
tcf(c_10212,plain,
! [X0: $i] : is_a_theorem(implies(iPr_def_11,implies(implies(implies(iPr_def_10,x),X0),implies(iPr_def_12,X0)))),
inference(superposition,[status(thm)],[c_55,c_820]) ).
tcf(c_10306,plain,
! [X0: $i] : ~ is_a_theorem(implies(implies(implies(implies(iPr_def_10,x),X0),implies(iPr_def_12,X0)),iPr_def_13)),
inference(superposition,[status(thm)],[c_10212,c_751]) ).
tcf(c_10515,plain,
~ is_a_theorem(implies(implies(implies(implies(iPr_def_10,x),x),iPr_def_13),iPr_def_13)),
inference(superposition,[status(thm)],[c_79,c_10306]) ).
tcf(c_10516,plain,
~ is_a_theorem(implies(not(iPr_def_13),implies(implies(iPr_def_10,x),x))),
inference(superposition,[status(thm)],[c_8550,c_10515]) ).
tcf(c_27210,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_215,c_8706]) ).
tcf(c_29396,plain,
~ is_a_theorem(implies(implies(iPr_def_10,x),x)),
inference(superposition,[status(thm)],[c_27210,c_10516]) ).
tcf(c_29635,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_29396,c_190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL366-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 23:01:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 15.85/3.28 % SZS status Started for theBenchmark.p
% 15.85/3.28 % SZS status Unsatisfiable for theBenchmark.p
% 15.85/3.28
% 15.85/3.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.85/3.28
% 15.85/3.28 % ------ iProver source info
% 15.85/3.28
% 15.85/3.28 % git: date: 2026-07-19 20:42:38 +0200
% 15.85/3.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.85/3.28 % git: non_committed_changes: false
% 15.85/3.28
% 15.85/3.28 % ------ Parsing...% successful
% 15.85/3.28
% 15.85/3.28
% 15.85/3.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.85/3.28
% 15.85/3.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 15.85/3.28
% 15.85/3.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.85/3.28
% 15.85/3.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.85/3.28 % ------ Proving...
% 15.85/3.28 % ------ Problem Properties
% 15.85/3.28
% 15.85/3.28 %
% 15.85/3.28 % clauses 10
% 15.85/3.28 % conjectures 1
% 15.85/3.28 % EPR 1
% 15.85/3.28 % Horn 10
% 15.85/3.28 % unary 9
% 15.85/3.28 % binary 0
% 15.85/3.28 % lits 12
% 15.85/3.28 % lits eq 5
% 15.85/3.28 % fd_pure 0
% 15.85/3.28 % fd_pseudo 0
% 15.85/3.28 % fd_cond 0
% 15.85/3.28 % fd_pseudo_cond 0
% 15.85/3.28 % AC symbols 0
% 15.85/3.28
% 15.85/3.28 % ------ Schedule dynamic 5 is on
% 15.85/3.28
% 15.85/3.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.85/3.28
% 15.85/3.28
% 15.85/3.28 % ------
% 15.85/3.28 % Current options:
% 15.85/3.28 % ------
% 15.85/3.28
% 15.85/3.28
% 15.85/3.28 %
% 15.85/3.28
% 15.85/3.28 % ------ Proving...
% 15.85/3.28 %
% 15.85/3.28
% 15.85/3.28 % SZS status Unsatisfiable for theBenchmark.p
% 15.85/3.28
% 15.85/3.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.85/3.28
% 15.85/3.28
%------------------------------------------------------------------------------