%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL379-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 02:06:28 PM UTC 2026
% Result : Unsatisfiable 1.90s 44.07s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 65 ( 30 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 93 ( 48 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 155 ( 0 sgn 155 !; 0 ?; 147 :)
% 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(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(x,not(x)),not(x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_38) ).
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(x,not(x)),not(x))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_88,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[c_54,c_56]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_54,c_57]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_55,c_54]) ).
tcf(c_132,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(resolution,[status(thm)],[c_126,c_54]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_132,c_55]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(resolution,[status(thm)],[c_132,c_56]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_132,c_57]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_132,c_126]) ).
tcf(c_181,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(resolution,[status(thm)],[c_141,c_56]) ).
tcf(c_183,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[c_141,c_57]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_141,c_126]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_143,c_54]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(not(X1),X3)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_143,c_132]) ).
tcf(c_351,plain,
~ is_a_theorem(implies(not(not(x)),x)),
inference(resolution,[status(thm)],[c_186,c_58]) ).
tcf(c_352,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(not(X2),X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_186,c_132]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_139,c_54]) ).
tcf(c_405,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(not(implies(implies(X0,X1),implies(X2,X1))),implies(X2,X0))) ),
inference(resolution,[status(thm)],[c_139,c_88]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_146,c_55]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[c_146,c_57]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[c_464,c_141]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_671,c_90]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[c_700,c_141]) ).
tcf(c_840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X2,X1)),X3))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_300,c_126]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(not(X3),X4)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[c_303,c_55]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(not(X2),X3)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_303,c_57]) ).
tcf(c_1180,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X2),implies(X0,X1)))
| ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c_461,c_141]) ).
tcf(c_1768,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1))) ),
inference(resolution,[status(thm)],[c_403,c_56]) ).
tcf(c_1771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X3),implies(X2,X3)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_403,c_126]) ).
tcf(c_2733,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(resolution,[status(thm)],[c_1065,c_183]) ).
tcf(c_5885,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[c_352,c_2733]) ).
tcf(c_7005,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(implies(implies(not(X0),X0),X1)),X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_840,c_56]) ).
tcf(c_7007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_840,c_57]) ).
tcf(c_8800,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(resolution,[status(thm)],[c_1180,c_57]) ).
tcf(c_8975,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(resolution,[status(thm)],[c_8800,c_141]) ).
tcf(c_10326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X3),implies(X0,X3)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_1771,c_57]) ).
tcf(c_14126,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0)))
| ~ is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(resolution,[status(thm)],[c_7005,c_405]) ).
tcf(c_14550,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(resolution,[status(thm)],[c_7007,c_181]) ).
tcf(c_14552,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(resolution,[status(thm)],[c_7007,c_183]) ).
tcf(c_18201,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[c_14550,c_712]) ).
tcf(c_19529,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[c_18201,c_1180]) ).
tcf(c_20129,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[c_14552,c_1768]) ).
tcf(c_27342,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(not(implies(implies(X1,X0),X0)),X2))),
inference(resolution,[status(thm)],[c_19529,c_1061]) ).
tcf(c_27852,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_20129,c_54]) ).
tcf(c_205579,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_27342,c_141]) ).
tcf(c_210477,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_205579,c_27852]) ).
tcf(c_211905,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_210477,c_146]) ).
tcf(c_231771,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[c_211905,c_57]) ).
tcf(c_232853,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
inference(backward_subsumption_resolution,[status(thm)],[c_14126,c_231771]) ).
tcf(c_236513,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[c_232853,c_10326]) ).
tcf(c_246775,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[c_236513,c_54]) ).
tcf(c_264895,plain,
! [X0: $i] : is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(resolution,[status(thm)],[c_246775,c_8975]) ).
tcf(c_268676,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(resolution,[status(thm)],[c_264895,c_671]) ).
tcf(c_273583,plain,
! [X0: $i] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[c_268676,c_5885]) ).
tcf(c_273584,plain,
is_a_theorem(implies(not(not(x)),x)),
inference(instantiation,[status(thm)],[c_273583]) ).
tcf(c_273585,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_273584,c_351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL379-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.38 % Computer : n004.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Wed Sep 23 23:05:02 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.43 Running first-order theorem proving
% 0.14/10.43 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
% 0.14/10.44
% 0.14/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.44
% 0.14/10.44 % Detected problem language: tptp
% 0.14/10.45 % Proving...
% 1.90/44.07 % SZS status Started for theBenchmark.p
% 1.90/44.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.90/44.07
% 1.90/44.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.90/44.07
% 1.90/44.07 % ------ iProver source info
% 1.90/44.07
% 1.90/44.07 % git: date: 2026-07-19 20:42:38 +0200
% 1.90/44.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.90/44.07 % git: non_committed_changes: false
% 1.90/44.07
% 1.90/44.07 % ------ Parsing...% successful
% 1.90/44.07
% 1.90/44.07
% 1.90/44.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.90/44.07
% 1.90/44.07 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.90/44.07
% 1.90/44.07 % ------ Preprocessing...
% 1.90/44.07 % ------ Proving...
% 1.90/44.07 % ------ Problem Properties
% 1.90/44.07
% 1.90/44.07 %
% 1.90/44.07 % clauses 5
% 1.90/44.07 % conjectures 1
% 1.90/44.07 % EPR 0
% 1.90/44.07 % Horn 5
% 1.90/44.07 % unary 4
% 1.90/44.07 % binary 0
% 1.90/44.07 % lits 7
% 1.90/44.07 % lits eq 0
% 1.90/44.07 % fd_pure 0
% 1.90/44.07 % fd_pseudo 0
% 1.90/44.07 % fd_cond 0
% 1.90/44.07 % fd_pseudo_cond 0
% 1.90/44.07 % AC symbols 0
% 1.90/44.07
% 1.90/44.07 % ------ Input Options Time Limit: Unbounded
% 1.90/44.07
% 1.90/44.07
% 1.90/44.07 % ------
% 1.90/44.07 % Current options:
% 1.90/44.07 % ------
% 1.90/44.07
% 1.90/44.07
% 1.90/44.07 %
% 1.90/44.07
% 1.90/44.07 % ------ Proving...
% 1.90/44.07 %
% 1.90/44.07
% 1.90/44.07 % SZS status Unsatisfiable for theBenchmark.p
% 1.90/44.07
% 1.90/44.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.90/44.07
% 1.90/44.07
%------------------------------------------------------------------------------