%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL026-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 02:05:27 PM UTC 2026
% Result : Unsatisfiable 19.09s 3.44s
% Output : CNFRefutation 19.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 33 unt; 3 def)
% Number of atoms : 164 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 80 ( 43 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?; 70 :)
% 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',c0_2) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_5) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_6) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_3) ).
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] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(X0,falsehood),falsehood),X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,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,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_76,definition,
iPr_def_10 = implies(a,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_77,definition,
iPr_def_11 = implies(iPr_def_10,a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_78,definition,
iPr_def_12 = implies(iPr_def_11,a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_79,negated_conjecture,
~ is_a_theorem(iPr_def_12),
inference(demodulation,[status(thm)],[c_58,c_76,c_77,c_78]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_196,plain,
! [X0: $i] : is_a_theorem(implies(implies(X0,iPr_def_11),implies(implies(X0,iPr_def_10),implies(X0,a)))),
inference(superposition,[status(thm)],[c_77,c_57]) ).
tcf(c_197,plain,
! [X0: $i] : is_a_theorem(implies(implies(X0,iPr_def_12),implies(implies(X0,iPr_def_11),implies(X0,a)))),
inference(superposition,[status(thm)],[c_78,c_57]) ).
tcf(c_198,plain,
! [X0: $i] : is_a_theorem(implies(implies(a,implies(b,X0)),implies(iPr_def_10,implies(a,X0)))),
inference(superposition,[status(thm)],[c_76,c_57]) ).
tcf(c_199,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_10,implies(a,X0)),implies(iPr_def_11,implies(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_77,c_57]) ).
tcf(c_201,plain,
! [X0: $i] : is_a_theorem(implies(implies(a,implies(X0,b)),implies(implies(a,X0),iPr_def_10))),
inference(superposition,[status(thm)],[c_76,c_57]) ).
tcf(c_203,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_11,implies(X0,a)),implies(implies(iPr_def_11,X0),iPr_def_12))),
inference(superposition,[status(thm)],[c_78,c_57]) ).
tcf(c_204,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_57,c_54]) ).
tcf(c_307,plain,
is_a_theorem(implies(implies(iPr_def_11,iPr_def_11),implies(implies(iPr_def_11,iPr_def_10),iPr_def_12))),
inference(superposition,[status(thm)],[c_78,c_196]) ).
tcf(c_322,plain,
( is_a_theorem(implies(implies(iPr_def_11,iPr_def_10),iPr_def_12))
| ~ is_a_theorem(implies(iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_307,c_54]) ).
tcf(c_380,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(X0,iPr_def_11),implies(X0,a)))
| ~ is_a_theorem(implies(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_197,c_54]) ).
tcf(c_434,plain,
! [X0: $i] :
( is_a_theorem(implies(iPr_def_10,implies(a,X0)))
| ~ is_a_theorem(implies(a,implies(b,X0))) ),
inference(superposition,[status(thm)],[c_198,c_54]) ).
tcf(c_449,plain,
is_a_theorem(implies(implies(iPr_def_10,implies(a,a)),implies(iPr_def_11,iPr_def_11))),
inference(superposition,[status(thm)],[c_77,c_199]) ).
tcf(c_454,plain,
( is_a_theorem(implies(iPr_def_11,iPr_def_11))
| ~ is_a_theorem(implies(iPr_def_10,implies(a,a))) ),
inference(superposition,[status(thm)],[c_449,c_54]) ).
tcf(c_530,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(a,X0),iPr_def_10))
| ~ is_a_theorem(implies(a,implies(X0,b))) ),
inference(superposition,[status(thm)],[c_201,c_54]) ).
tcf(c_544,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(iPr_def_11,X0),iPr_def_12))
| ~ is_a_theorem(implies(iPr_def_11,implies(X0,a))) ),
inference(superposition,[status(thm)],[c_203,c_54]) ).
tcf(c_611,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_204,c_54]) ).
tcf(c_677,plain,
is_a_theorem(implies(iPr_def_10,implies(a,a))),
inference(superposition,[status(thm)],[c_55,c_434]) ).
tcf(c_681,plain,
is_a_theorem(implies(iPr_def_11,iPr_def_11)),
inference(backward_subsumption_resolution,[status(thm)],[c_454,c_677]) ).
tcf(c_684,plain,
is_a_theorem(implies(implies(iPr_def_11,iPr_def_10),iPr_def_12)),
inference(backward_subsumption_resolution,[status(thm)],[c_322,c_681]) ).
tcf(c_893,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(iPr_def_11,X0),iPr_def_12))
| ~ is_a_theorem(implies(X0,a)) ),
inference(superposition,[status(thm)],[c_176,c_544]) ).
tcf(c_956,plain,
! [X0: $i] :
( is_a_theorem(iPr_def_12)
| ~ is_a_theorem(implies(iPr_def_11,X0))
| ~ is_a_theorem(implies(X0,a)) ),
inference(superposition,[status(thm)],[c_893,c_54]) ).
tcf(c_957,plain,
! [X0: $i] :
( ~ is_a_theorem(implies(iPr_def_11,X0))
| ~ is_a_theorem(implies(X0,a)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_956,c_79]) ).
tcf(c_1016,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_57,c_611]) ).
tcf(c_1017,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_176,c_611]) ).
tcf(c_1966,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_55,c_1017]) ).
tcf(c_1967,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(implies(X1,falsehood),falsehood))) ),
inference(superposition,[status(thm)],[c_56,c_1017]) ).
tcf(c_1968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(superposition,[status(thm)],[c_57,c_1017]) ).
tcf(c_1993,plain,
! [X0: $i] :
( is_a_theorem(implies(X0,iPr_def_12))
| ~ is_a_theorem(implies(X0,implies(iPr_def_11,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_684,c_1017]) ).
tcf(c_1996,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,implies(X1,a)))
| ~ is_a_theorem(implies(X1,iPr_def_12))
| ~ is_a_theorem(implies(X0,implies(X1,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_380,c_1017]) ).
tcf(c_2600,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_1966,c_54]) ).
tcf(c_2812,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(implies(X0,falsehood),falsehood)) ),
inference(superposition,[status(thm)],[c_56,c_2600]) ).
tcf(c_3463,plain,
! [X0: $i] : is_a_theorem(implies(X0,implies(falsehood,falsehood))),
inference(superposition,[status(thm)],[c_56,c_2812]) ).
tcf(c_3488,plain,
! [X0: $i] : is_a_theorem(implies(implies(falsehood,implies(falsehood,X0)),implies(falsehood,X0))),
inference(superposition,[status(thm)],[c_3463,c_1016]) ).
tcf(c_3519,plain,
! [X0: $i] : is_a_theorem(implies(falsehood,X0)),
inference(superposition,[status(thm)],[c_55,c_1967]) ).
tcf(c_5010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(superposition,[status(thm)],[c_1968,c_54]) ).
tcf(c_5084,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X1),X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_57,c_5010]) ).
tcf(c_6833,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(implies(X0,falsehood),X0),X0))
| ~ is_a_theorem(implies(X0,implies(falsehood,falsehood))) ),
inference(superposition,[status(thm)],[c_5084,c_1967]) ).
tcf(c_6838,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(X0,falsehood),X0),X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_6833,c_3463]) ).
tcf(c_7044,plain,
~ is_a_theorem(implies(iPr_def_11,implies(implies(a,falsehood),a))),
inference(superposition,[status(thm)],[c_6838,c_957]) ).
tcf(c_7708,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,implies(falsehood,X0)))
| ~ is_a_theorem(implies(falsehood,implies(falsehood,X0))) ),
inference(superposition,[status(thm)],[c_3488,c_2600]) ).
tcf(c_7717,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(falsehood,X1))),
inference(forward_subsumption_resolution,[status(thm)],[c_7708,c_3519]) ).
tcf(c_7735,plain,
is_a_theorem(implies(implies(a,falsehood),iPr_def_10)),
inference(superposition,[status(thm)],[c_7717,c_530]) ).
tcf(c_9173,plain,
! [X0: $i] :
( is_a_theorem(implies(X0,iPr_def_12))
| ~ is_a_theorem(implies(X0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_1966,c_1993]) ).
tcf(c_9308,plain,
is_a_theorem(implies(implies(a,falsehood),iPr_def_12)),
inference(superposition,[status(thm)],[c_7735,c_9173]) ).
tcf(c_39355,plain,
! [X0: $i] :
( is_a_theorem(implies(iPr_def_11,implies(X0,a)))
| ~ is_a_theorem(implies(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_55,c_1996]) ).
tcf(c_39846,plain,
~ is_a_theorem(implies(implies(a,falsehood),iPr_def_12)),
inference(superposition,[status(thm)],[c_39355,c_7044]) ).
tcf(c_39857,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_39846,c_9308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL026-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n009.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 21:39:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 0.14/0.45
% 0.14/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.45
% 0.14/0.45 % Detected problem language: tptp
% 0.14/0.46 % Proving...
% 19.09/3.44 % SZS status Started for theBenchmark.p
% 19.09/3.44 % SZS status Unsatisfiable for theBenchmark.p
% 19.09/3.44
% 19.09/3.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 19.09/3.44
% 19.09/3.44 % ------ iProver source info
% 19.09/3.44
% 19.09/3.44 % git: date: 2026-07-19 20:42:38 +0200
% 19.09/3.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 19.09/3.44 % git: non_committed_changes: false
% 19.09/3.44
% 19.09/3.44 % ------ Parsing...% successful
% 19.09/3.44
% 19.09/3.44
% 19.09/3.44 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 19.09/3.44
% 19.09/3.44 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 19.09/3.44
% 19.09/3.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 19.09/3.44
% 19.09/3.44 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 19.09/3.44 % ------ Proving...
% 19.09/3.44 % ------ Problem Properties
% 19.09/3.44
% 19.09/3.44 %
% 19.09/3.44 % clauses 8
% 19.09/3.44 % conjectures 1
% 19.09/3.44 % EPR 1
% 19.09/3.44 % Horn 8
% 19.09/3.44 % unary 7
% 19.09/3.44 % binary 0
% 19.09/3.44 % lits 10
% 19.09/3.44 % lits eq 3
% 19.09/3.44 % fd_pure 0
% 19.09/3.44 % fd_pseudo 0
% 19.09/3.44 % fd_cond 0
% 19.09/3.44 % fd_pseudo_cond 0
% 19.09/3.44 % AC symbols 0
% 19.09/3.44
% 19.09/3.44 % ------ Schedule dynamic 5 is on
% 19.09/3.44
% 19.09/3.44 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 19.09/3.44
% 19.09/3.44
% 19.09/3.44 % ------
% 19.09/3.44 % Current options:
% 19.09/3.44 % ------
% 19.09/3.44
% 19.09/3.44
% 19.09/3.44 %
% 19.09/3.44
% 19.09/3.44 % ------ Proving...
% 19.09/3.44 %
% 19.09/3.44
% 19.09/3.44 % SZS status Unsatisfiable for theBenchmark.p
% 19.09/3.44
% 19.09/3.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 19.09/3.44
% 19.09/3.44
%------------------------------------------------------------------------------