%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL075-1 : 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 : n020.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 02:05:34 PM UTC 2026
% Result : Unsatisfiable 1.48s 1.75s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 54 ( 36 unt; 3 def)
% Number of atoms : 134 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 44 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 133 !; 0 ?; 126 :)
% 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,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4),implies(implies(X4,X0),implies(X3,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_CAMeredith) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_3) ).
tcf(c_52,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_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4),implies(implies(X4,X0),implies(X3,X0)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,definition,
iPr_def_10 = not(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_67,definition,
iPr_def_11 = implies(iPr_def_10,b),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_68,definition,
iPr_def_12 = implies(a,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_69,negated_conjecture,
~ is_a_theorem(iPr_def_12),
inference(demodulation,[status(thm)],[c_54,c_66,c_67,c_68]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(iPr_def_11,implies(not(X0),not(X1))),X0),X2),implies(implies(X2,iPr_def_10),implies(X1,iPr_def_10)))),
inference(superposition,[status(thm)],[c_67,c_53]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(iPr_def_10,not(X2))),a),X3),implies(implies(X3,X0),implies(X2,X0)))),
inference(superposition,[status(thm)],[c_66,c_53]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(not(X2),iPr_def_10)),X2),X3),implies(implies(X3,X0),implies(a,X0)))),
inference(superposition,[status(thm)],[c_66,c_53]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(implies(b,X0),implies(not(X1),not(iPr_def_10))),X1),X2),implies(implies(X2,b),iPr_def_11))),
inference(superposition,[status(thm)],[c_67,c_53]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(implies(iPr_def_11,X0),implies(not(X1),not(a))),X1),X2),implies(implies(X2,iPr_def_11),iPr_def_12))),
inference(superposition,[status(thm)],[c_68,c_53]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X4,X0),implies(X3,X0)))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(not(X2),not(X3))),X2),X4)) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(implies(iPr_def_11,X0),implies(not(X1),iPr_def_10)),X1),X2),implies(implies(X2,iPr_def_11),iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_183,c_66]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,iPr_def_11),iPr_def_12))
| ~ is_a_theorem(implies(implies(implies(implies(iPr_def_11,X0),implies(not(X1),iPr_def_10)),X1),X2)) ),
inference(superposition,[status(thm)],[c_185,c_52]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(implies(iPr_def_11,implies(iPr_def_10,not(X0))),a),X1),implies(implies(X1,iPr_def_10),implies(X0,iPr_def_10)))),
inference(superposition,[status(thm)],[c_66,c_176]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,iPr_def_10),implies(X0,iPr_def_10)))
| ~ is_a_theorem(implies(implies(implies(iPr_def_11,implies(iPr_def_10,not(X0))),a),X1)) ),
inference(superposition,[status(thm)],[c_209,c_52]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X0),implies(X2,X0)))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(iPr_def_10,not(X2))),a),X3)) ),
inference(superposition,[status(thm)],[c_178,c_52]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,b),iPr_def_11))
| ~ is_a_theorem(implies(implies(implies(implies(b,X0),implies(not(X1),not(iPr_def_10))),X1),X2)) ),
inference(superposition,[status(thm)],[c_182,c_52]) ).
tcf(c_480,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(implies(X0,iPr_def_10),implies(X1,iPr_def_10)),iPr_def_11),iPr_def_12)),
inference(superposition,[status(thm)],[c_176,c_199]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X0),implies(a,X0)))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(not(X2),iPr_def_10)),X2),X3)) ),
inference(superposition,[status(thm)],[c_179,c_52]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(superposition,[status(thm)],[c_53,c_184]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_604,c_52]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(superposition,[status(thm)],[c_604,c_184]) ).
tcf(c_1808,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_12,X0),implies(a,X0))),
inference(superposition,[status(thm)],[c_480,c_503]) ).
tcf(c_1809,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,implies(iPr_def_10,X1)),X2),implies(a,X2))),
inference(superposition,[status(thm)],[c_604,c_503]) ).
tcf(c_1925,plain,
! [X0: $i] :
( is_a_theorem(implies(a,X0))
| ~ is_a_theorem(implies(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_1808,c_52]) ).
tcf(c_2159,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(a,a),X0),implies(X1,X0))),
inference(superposition,[status(thm)],[c_1809,c_359]) ).
tcf(c_2232,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(a,implies(X1,a)))),
inference(superposition,[status(thm)],[c_2159,c_647]) ).
tcf(c_2249,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(a,implies(X0,a)),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_2232,c_359]) ).
tcf(c_2794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3)) ),
inference(superposition,[status(thm)],[c_648,c_52]) ).
tcf(c_2795,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_648,c_184]) ).
tcf(c_2984,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_2249,c_2794]) ).
tcf(c_3072,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(a,implies(X0,implies(not(iPr_def_12),X1)))),
inference(superposition,[status(thm)],[c_2984,c_1925]) ).
tcf(c_3228,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_2795,c_52]) ).
tcf(c_3233,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_2795,c_647]) ).
tcf(c_3984,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_2795,c_3228]) ).
tcf(c_4378,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_3233,c_52]) ).
tcf(c_4485,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_3072,c_4378]) ).
tcf(c_4491,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_4485,c_52]) ).
tcf(c_4594,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,iPr_def_10),implies(X1,iPr_def_10)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_4491,c_253]) ).
tcf(c_4744,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_3984,c_52]) ).
tcf(c_4756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))),
inference(superposition,[status(thm)],[c_3984,c_359]) ).
tcf(c_4851,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_3072,c_4744]) ).
tcf(c_8178,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(implies(X1,iPr_def_10),b),iPr_def_11))
| ~ is_a_theorem(implies(implies(b,X0),implies(not(iPr_def_10),not(iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_4594,c_472]) ).
tcf(c_8190,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(X0,iPr_def_10),b),iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_8178,c_4851]) ).
tcf(c_13791,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(superposition,[status(thm)],[c_4756,c_184]) ).
tcf(c_13820,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(implies(not(X0),iPr_def_10),X0),iPr_def_11),iPr_def_12)),
inference(superposition,[status(thm)],[c_13791,c_199]) ).
tcf(c_17722,plain,
! [X0: $i] :
( is_a_theorem(iPr_def_12)
| ~ is_a_theorem(implies(implies(implies(not(X0),iPr_def_10),X0),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_13820,c_52]) ).
tcf(c_17728,plain,
! [X0: $i] : ~ is_a_theorem(implies(implies(implies(not(X0),iPr_def_10),X0),iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_17722,c_69]) ).
tcf(c_17735,plain,
$false,
inference(superposition,[status(thm)],[c_8190,c_17728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL075-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n020.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 21:50:33 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.48/1.75 % SZS status Started for theBenchmark.p
% 1.48/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.48/1.75
% 1.48/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.48/1.75
% 1.48/1.75 % ------ iProver source info
% 1.48/1.75
% 1.48/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 1.48/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.48/1.75 % git: non_committed_changes: false
% 1.48/1.75
% 1.48/1.75 % ------ Parsing...% successful
% 1.48/1.75
% 1.48/1.75
% 1.48/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.48/1.75
% 1.48/1.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.48/1.75
% 1.48/1.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.48/1.75
% 1.48/1.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.48/1.75 % ------ Proving...
% 1.48/1.75 % ------ Problem Properties
% 1.48/1.75
% 1.48/1.75 %
% 1.48/1.75 % clauses 6
% 1.48/1.75 % conjectures 1
% 1.48/1.75 % EPR 1
% 1.48/1.75 % Horn 6
% 1.48/1.75 % unary 5
% 1.48/1.75 % binary 0
% 1.48/1.75 % lits 8
% 1.48/1.75 % lits eq 3
% 1.48/1.75 % fd_pure 0
% 1.48/1.75 % fd_pseudo 0
% 1.48/1.75 % fd_cond 0
% 1.48/1.75 % fd_pseudo_cond 0
% 1.48/1.75 % AC symbols 0
% 1.48/1.75
% 1.48/1.75 % ------ Schedule dynamic 5 is on
% 1.48/1.75
% 1.48/1.75 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.48/1.75
% 1.48/1.75
% 1.48/1.75 % ------
% 1.48/1.75 % Current options:
% 1.48/1.75 % ------
% 1.48/1.75
% 1.48/1.75
% 1.48/1.75 %
% 1.48/1.75
% 1.48/1.75 % ------ Proving...
% 1.48/1.75 %
% 1.48/1.75
% 1.48/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.48/1.75
% 1.48/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.48/1.75
% 1.48/1.75
%------------------------------------------------------------------------------