%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL040-1 : 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 : n013.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 02:05:29 PM UTC 2026
% Result : Unsatisfiable 60.21s 15.96s
% Output : CNFRefutation 60.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 18 unt; 5 def)
% Number of atoms : 92 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 49 ( 28 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 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; 3 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 36 :)
% 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,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).
fof(f7,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_21) ).
tcf(c_56,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_57,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,negated_conjecture,
~ is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
inference(cnf_transformation,[],[f7]) ).
tcf(c_86,definition,
iPr_def_10 = implies(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_87,definition,
iPr_def_11 = implies(a,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_88,definition,
iPr_def_12 = implies(a,c),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_89,definition,
iPr_def_13 = implies(b,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_90,definition,
iPr_def_14 = implies(iPr_def_11,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_91,negated_conjecture,
~ is_a_theorem(iPr_def_14),
inference(demodulation,[status(thm)],[c_62,c_88,c_89,c_86,c_87,c_90]) ).
tcf(c_242422,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_57,c_56]) ).
tcf(c_242474,plain,
! [X0: $i] : is_a_theorem(implies(implies(X0,iPr_def_10),implies(implies(X0,b),implies(X0,c)))),
inference(superposition,[status(thm)],[c_86,c_58]) ).
tcf(c_242488,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_11,implies(X0,iPr_def_13)),implies(implies(iPr_def_11,X0),iPr_def_14))),
inference(superposition,[status(thm)],[c_90,c_58]) ).
tcf(c_242489,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_58,c_56]) ).
tcf(c_242535,plain,
is_a_theorem(implies(implies(a,iPr_def_10),implies(implies(a,b),iPr_def_12))),
inference(superposition,[status(thm)],[c_88,c_242474]) ).
tcf(c_242537,plain,
is_a_theorem(implies(iPr_def_11,implies(implies(a,b),iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_242535,c_87]) ).
tcf(c_242769,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(iPr_def_11,X0),iPr_def_14))
| ~ is_a_theorem(implies(iPr_def_11,implies(X0,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_242488,c_56]) ).
tcf(c_242802,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(iPr_def_11,X0),iPr_def_14))
| ~ is_a_theorem(implies(X0,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_242422,c_242769]) ).
tcf(c_243286,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_242802,c_56]) ).
tcf(c_243287,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_243286,c_91]) ).
tcf(c_243521,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_242489,c_56]) ).
tcf(c_243535,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2)))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_58,c_243521]) ).
tcf(c_243538,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_242422,c_243521]) ).
tcf(c_243840,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_242422,c_243535]) ).
tcf(c_243878,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_57,c_243538]) ).
tcf(c_244682,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(b,implies(X0,iPr_def_12)),iPr_def_13))
| ~ is_a_theorem(implies(b,X0)) ),
inference(superposition,[status(thm)],[c_89,c_243840]) ).
tcf(c_246158,plain,
! [X0: $i] :
( ~ is_a_theorem(implies(b,X0))
| ~ is_a_theorem(implies(iPr_def_11,implies(b,implies(X0,iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_244682,c_243287]) ).
tcf(c_246224,plain,
! [X0: $i] :
( ~ is_a_theorem(implies(b,X0))
| ~ is_a_theorem(implies(iPr_def_11,implies(X0,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_243878,c_246158]) ).
tcf(c_246233,plain,
~ is_a_theorem(implies(b,implies(a,b))),
inference(superposition,[status(thm)],[c_242537,c_246224]) ).
tcf(c_246238,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_246233,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL040-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n013.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Wed Sep 23 21:41:52 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 60.21/15.96 % SZS status Started for theBenchmark.p
% 60.21/15.96 % SZS status Unsatisfiable for theBenchmark.p
% 60.21/15.96
% 60.21/15.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 60.21/15.96
% 60.21/15.96 % ------ iProver source info
% 60.21/15.96
% 60.21/15.96 % git: date: 2026-07-19 20:42:38 +0200
% 60.21/15.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 60.21/15.96 % git: non_committed_changes: false
% 60.21/15.96
% 60.21/15.96 % ------ Parsing...% successful
% 60.21/15.96
% 60.21/15.96
% 60.21/15.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 60.21/15.96
% 60.21/15.96 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 60.21/15.96
% 60.21/15.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 60.21/15.96
% 60.21/15.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 60.21/15.96 % ------ Proving...
% 60.21/15.96 % ------ Problem Properties
% 60.21/15.96
% 60.21/15.96 %
% 60.21/15.96 % clauses 12
% 60.21/15.96 % conjectures 1
% 60.21/15.96 % EPR 1
% 60.21/15.96 % Horn 12
% 60.21/15.96 % unary 11
% 60.21/15.96 % binary 0
% 60.21/15.96 % lits 14
% 60.21/15.96 % lits eq 5
% 60.21/15.96 % fd_pure 0
% 60.21/15.96 % fd_pseudo 0
% 60.21/15.96 % fd_cond 0
% 60.21/15.96 % fd_pseudo_cond 0
% 60.21/15.96 % AC symbols 0
% 60.21/15.96
% 60.21/15.96 % ------ Schedule dynamic 5 is on
% 60.21/15.96
% 60.21/15.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 60.21/15.96
% 60.21/15.96
% 60.21/15.96 % ------
% 60.21/15.96 % Current options:
% 60.21/15.96 % ------
% 60.21/15.96
% 60.21/15.96
% 60.21/15.96 %
% 60.21/15.96
% 60.21/15.96 % ------ Proving...
% 60.21/15.96 % Proof_search_loop: time out after: 7720 full_loop iterations
% 60.21/15.96
% 60.21/15.96 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 60.21/15.96
% 60.21/15.96
% 60.21/15.96 % ------
% 60.21/15.96 % Current options:
% 60.21/15.96 % ------
% 60.21/15.96
% 60.21/15.96
% 60.21/15.96 %
% 60.21/15.96
% 60.21/15.96 % ------ Proving...
% 60.21/15.96 %
% 60.21/15.96
% 60.21/15.96 % SZS status Unsatisfiable for theBenchmark.p
% 60.21/15.96
% 60.21/15.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 60.21/15.96
% 60.21/15.96
%------------------------------------------------------------------------------