%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL428-1 : 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 : n010.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 02:06:35 PM UTC 2026
% Result : Unsatisfiable 4.79s 2.27s
% Output : CNFRefutation 4.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 20 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 38 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 18 ( 18 usr; 17 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?; 49 :)
% 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,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv1) ).
fof(f3,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',mv2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv3) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X0)),implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv5) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(y,x)),implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16))),v16)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_hr) ).
tcf(c_55,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(y,x)),implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16))),v16)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X0)),implies(X1,X0))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,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_165,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_59,c_60]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_57,c_60]) ).
tcf(c_236,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_58,c_60]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_165,c_215]) ).
tcf(c_293,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_236,c_60]) ).
tcf(c_347,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_59,c_293]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_59,c_347]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_57,c_347]) ).
tcf(c_540,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2)) ),
inference(superposition,[status(thm)],[c_471,c_293]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X0),X1))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_277,c_293]) ).
tcf(c_2474,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_236,c_540]) ).
tcf(c_6755,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_58,c_2474]) ).
tcf(c_6763,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_469,c_2474]) ).
tcf(c_7557,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)),
inference(superposition,[status(thm)],[c_6763,c_215]) ).
tcf(c_11026,plain,
( ~ is_a_theorem(implies(x,implies(y,x)))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16)),v16)) ),
inference(superposition,[status(thm)],[c_630,c_55]) ).
tcf(c_11076,plain,
~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13),implies(implies(v14,implies(v15,v14)),v16)),v16)),
inference(forward_subsumption_resolution,[status(thm)],[c_11026,c_59]) ).
tcf(c_13385,plain,
( ~ is_a_theorem(implies(implies(implies(v14,implies(v15,v14)),v16),v16))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13)) ),
inference(superposition,[status(thm)],[c_630,c_11076]) ).
tcf(c_13386,plain,
~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10),implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13)),v13)),
inference(forward_subsumption_resolution,[status(thm)],[c_13385,c_7557]) ).
tcf(c_13388,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13),v13))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7),implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10)),v10)) ),
inference(superposition,[status(thm)],[c_630,c_13386]) ).
tcf(c_13396,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10),v10))
| ~ is_a_theorem(implies(implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13),v13))
| ~ is_a_theorem(implies(implies(implies(implies(z,u),implies(implies(v,z),implies(v,u))),implies(implies(w,implies(v6,w)),v7)),v7)) ),
inference(superposition,[status(thm)],[c_630,c_13388]) ).
tcf(c_13498,plain,
( ~ is_a_theorem(implies(implies(implies(w,implies(v6,w)),v7),v7))
| ~ is_a_theorem(implies(implies(z,u),implies(implies(v,z),implies(v,u))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10),v10))
| ~ is_a_theorem(implies(implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13),v13)) ),
inference(superposition,[status(thm)],[c_630,c_13396]) ).
tcf(c_13502,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10),v10))
| ~ is_a_theorem(implies(implies(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)),v13),v13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13498,c_7557,c_6755]) ).
tcf(c_13512,plain,
( ~ is_a_theorem(implies(implies(implies(v11,v12),implies(v12,v11)),implies(v12,v11)))
| ~ is_a_theorem(implies(implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10),v10)) ),
inference(superposition,[status(thm)],[c_277,c_13502]) ).
tcf(c_13523,plain,
~ is_a_theorem(implies(implies(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8)),v10),v10)),
inference(forward_subsumption_resolution,[status(thm)],[c_13512,c_56]) ).
tcf(c_16723,plain,
~ is_a_theorem(implies(implies(implies(v8,v9),v9),implies(implies(v9,v8),v8))),
inference(superposition,[status(thm)],[c_277,c_13523]) ).
tcf(c_16727,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16723,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL428-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.35 % Computer : n010.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Wed Sep 23 23:19:32 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 4.79/2.27 % SZS status Started for theBenchmark.p
% 4.79/2.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.79/2.27
% 4.79/2.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.79/2.27
% 4.79/2.27 % ------ iProver source info
% 4.79/2.27
% 4.79/2.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.79/2.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.79/2.27 % git: non_committed_changes: false
% 4.79/2.27
% 4.79/2.27 % ------ Parsing...% successful
% 4.79/2.27
% 4.79/2.27
% 4.79/2.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.79/2.27
% 4.79/2.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.79/2.27
% 4.79/2.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.79/2.27 % ------ Proving...
% 4.79/2.27 % ------ Problem Properties
% 4.79/2.27
% 4.79/2.27 %
% 4.79/2.27 % clauses 6
% 4.79/2.27 % conjectures 1
% 4.79/2.27 % EPR 0
% 4.79/2.27 % Horn 6
% 4.79/2.27 % unary 5
% 4.79/2.27 % binary 0
% 4.79/2.27 % lits 8
% 4.79/2.27 % lits eq 0
% 4.79/2.27 % fd_pure 0
% 4.79/2.27 % fd_pseudo 0
% 4.79/2.27 % fd_cond 0
% 4.79/2.27 % fd_pseudo_cond 0
% 4.79/2.27 % AC symbols 0
% 4.79/2.27
% 4.79/2.27 % ------ Schedule dynamic 5 is on
% 4.79/2.27
% 4.79/2.27 % ------ no equalities: superposition off
% 4.79/2.27
% 4.79/2.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.79/2.27
% 4.79/2.27
% 4.79/2.27 % ------
% 4.79/2.27 % Current options:
% 4.79/2.27 % ------
% 4.79/2.27
% 4.79/2.27
% 4.79/2.27 %
% 4.79/2.27
% 4.79/2.27 % ------ Proving...
% 4.79/2.27 %
% 4.79/2.27
% 4.79/2.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.79/2.27
% 4.79/2.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.79/2.27
% 4.79/2.27
%------------------------------------------------------------------------------