%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL357-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n016.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 02:06:24 PM UTC 2026
% Result : Unsatisfiable 1.85s 1.28s
% Output : CNFRefutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 21 unt; 7 def)
% Number of atoms : 77 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 21 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 11 :)
% 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(f5,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_06) ).
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_58,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(implies(implies(x,z),u),implies(implies(y,z),u)))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_76,definition,
iPr_def_10 = implies(x,y),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_77,definition,
iPr_def_11 = implies(x,z),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_78,definition,
iPr_def_12 = implies(iPr_def_11,u),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_79,definition,
iPr_def_13 = implies(y,z),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_80,definition,
iPr_def_14 = implies(iPr_def_13,u),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_81,definition,
iPr_def_15 = implies(iPr_def_12,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_82,definition,
iPr_def_16 = implies(iPr_def_10,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_83,negated_conjecture,
~ is_a_theorem(iPr_def_16),
inference(demodulation,[status(thm)],[c_58,c_79,c_80,c_77,c_78,c_81,c_76,c_82]) ).
tcf(c_226,plain,
! [X0: $i] : is_a_theorem(implies(iPr_def_10,implies(implies(y,X0),implies(x,X0)))),
inference(superposition,[status(thm)],[c_76,c_55]) ).
tcf(c_236,plain,
! [X0: $i] : is_a_theorem(implies(implies(X0,iPr_def_11),implies(iPr_def_12,implies(X0,u)))),
inference(superposition,[status(thm)],[c_78,c_55]) ).
tcf(c_246,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_10,X0),implies(implies(X0,iPr_def_15),iPr_def_16))),
inference(superposition,[status(thm)],[c_82,c_55]) ).
tcf(c_357,plain,
is_a_theorem(implies(iPr_def_10,implies(implies(y,z),iPr_def_11))),
inference(superposition,[status(thm)],[c_77,c_226]) ).
tcf(c_359,plain,
is_a_theorem(implies(iPr_def_10,implies(iPr_def_13,iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_357,c_79]) ).
tcf(c_611,plain,
is_a_theorem(implies(implies(iPr_def_13,iPr_def_11),implies(iPr_def_12,iPr_def_14))),
inference(superposition,[status(thm)],[c_80,c_236]) ).
tcf(c_613,plain,
is_a_theorem(implies(implies(iPr_def_13,iPr_def_11),iPr_def_15)),
inference(light_normalisation,[status(thm)],[c_611,c_81]) ).
tcf(c_777,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(X0,iPr_def_15),iPr_def_16))
| ~ is_a_theorem(implies(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_246,c_54]) ).
tcf(c_1048,plain,
! [X0: $i] :
( is_a_theorem(iPr_def_16)
| ~ is_a_theorem(implies(iPr_def_10,X0))
| ~ is_a_theorem(implies(X0,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_777,c_54]) ).
tcf(c_1049,plain,
! [X0: $i] :
( ~ is_a_theorem(implies(iPr_def_10,X0))
| ~ is_a_theorem(implies(X0,iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1048,c_83]) ).
tcf(c_1060,plain,
~ is_a_theorem(implies(implies(iPr_def_13,iPr_def_11),iPr_def_15)),
inference(superposition,[status(thm)],[c_359,c_1049]) ).
tcf(c_1063,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1060,c_613]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL357-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n016.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 23:02:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.85/1.28 % SZS status Started for theBenchmark.p
% 1.85/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.85/1.28
% 1.85/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.85/1.28
% 1.85/1.28 % ------ iProver source info
% 1.85/1.28
% 1.85/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.85/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.85/1.28 % git: non_committed_changes: false
% 1.85/1.28
% 1.85/1.28 % ------ Parsing...% successful
% 1.85/1.28
% 1.85/1.28
% 1.85/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.85/1.28
% 1.85/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.85/1.28
% 1.85/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.85/1.28
% 1.85/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.85/1.28 % ------ Proving...
% 1.85/1.28 % ------ Problem Properties
% 1.85/1.28
% 1.85/1.28 %
% 1.85/1.28 % clauses 12
% 1.85/1.28 % conjectures 1
% 1.85/1.28 % EPR 1
% 1.85/1.28 % Horn 12
% 1.85/1.28 % unary 11
% 1.85/1.28 % binary 0
% 1.85/1.28 % lits 14
% 1.85/1.28 % lits eq 7
% 1.85/1.28 % fd_pure 0
% 1.85/1.28 % fd_pseudo 0
% 1.85/1.28 % fd_cond 0
% 1.85/1.28 % fd_pseudo_cond 0
% 1.85/1.28 % AC symbols 0
% 1.85/1.28
% 1.85/1.28 % ------ Schedule dynamic 5 is on
% 1.85/1.28
% 1.85/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.85/1.28
% 1.85/1.28
% 1.85/1.28 % ------
% 1.85/1.28 % Current options:
% 1.85/1.28 % ------
% 1.85/1.28
% 1.85/1.28
% 1.85/1.28 %
% 1.85/1.28
% 1.85/1.28 % ------ Proving...
% 1.85/1.28 %
% 1.85/1.28
% 1.85/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.85/1.28
% 1.85/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.85/1.28
% 1.85/1.28
%------------------------------------------------------------------------------