%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 02:05:38 PM UTC 2026
% Result : Unsatisfiable 4.54s 1.54s
% Output : CNFRefutation 4.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 27 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 13 avg)
% Maximal term depth : 12 ( 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 217 ( 0 sgn 217 !; 0 ?; 210 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_3) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_4) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_71,plain,
! [X0: $i] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))) ),
inference(resolution,[status(thm)],[c_52,c_54]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),
inference(resolution,[status(thm)],[c_71,c_53]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))) ),
inference(resolution,[status(thm)],[c_77,c_52]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),
inference(resolution,[status(thm)],[c_86,c_53]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))) ),
inference(resolution,[status(thm)],[c_92,c_52]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),
inference(resolution,[status(thm)],[c_107,c_53]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))) ),
inference(resolution,[status(thm)],[c_117,c_52]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),equivalent(equivalent(equivalent(equivalent(equivalent(X12,X13),equivalent(X12,X14)),X15),equivalent(equivalent(X13,X14),X15)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))),
inference(resolution,[status(thm)],[c_120,c_53]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))) ),
inference(resolution,[status(thm)],[c_133,c_52]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),equivalent(equivalent(equivalent(equivalent(equivalent(X12,X13),equivalent(X12,X14)),X15),equivalent(equivalent(X13,X14),X15)),equivalent(equivalent(equivalent(equivalent(equivalent(X16,X17),equivalent(X16,X18)),X19),equivalent(equivalent(X17,X18),X19)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))),
inference(resolution,[status(thm)],[c_136,c_53]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),equivalent(equivalent(equivalent(equivalent(equivalent(X17,X18),equivalent(X17,X19)),X20),equivalent(equivalent(X18,X19),X20)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))))) ),
inference(resolution,[status(thm)],[c_146,c_52]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),equivalent(equivalent(equivalent(equivalent(equivalent(X12,X13),equivalent(X12,X14)),X15),equivalent(equivalent(X13,X14),X15)),equivalent(equivalent(equivalent(equivalent(equivalent(X16,X17),equivalent(X16,X18)),X19),equivalent(equivalent(X17,X18),X19)),equivalent(equivalent(equivalent(equivalent(equivalent(X20,X21),equivalent(X20,X22)),X23),equivalent(equivalent(X21,X22),X23)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))))),
inference(resolution,[status(thm)],[c_155,c_53]) ).
tcf(c_176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),equivalent(equivalent(equivalent(equivalent(equivalent(X5,X6),equivalent(X5,X7)),X8),equivalent(equivalent(X6,X7),X8)),equivalent(equivalent(equivalent(equivalent(equivalent(X9,X10),equivalent(X9,X11)),X12),equivalent(equivalent(X10,X11),X12)),equivalent(equivalent(equivalent(equivalent(equivalent(X13,X14),equivalent(X13,X15)),X16),equivalent(equivalent(X14,X15),X16)),equivalent(equivalent(equivalent(equivalent(equivalent(X17,X18),equivalent(X17,X19)),X20),equivalent(equivalent(X18,X19),X20)),equivalent(equivalent(equivalent(equivalent(equivalent(X21,X22),equivalent(X21,X23)),X24),equivalent(equivalent(X22,X23),X24)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))))) ),
inference(resolution,[status(thm)],[c_161,c_52]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i,X27: $i] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7),equivalent(equivalent(X5,X6),X7)),equivalent(equivalent(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X10)),X11),equivalent(equivalent(X9,X10),X11)),equivalent(equivalent(equivalent(equivalent(equivalent(X12,X13),equivalent(X12,X14)),X15),equivalent(equivalent(X13,X14),X15)),equivalent(equivalent(equivalent(equivalent(equivalent(X16,X17),equivalent(X16,X18)),X19),equivalent(equivalent(X17,X18),X19)),equivalent(equivalent(equivalent(equivalent(equivalent(X20,X21),equivalent(X20,X22)),X23),equivalent(equivalent(X21,X22),X23)),equivalent(equivalent(equivalent(equivalent(equivalent(X24,X25),equivalent(X24,X26)),X27),equivalent(equivalent(X25,X26),X27)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))))),
inference(resolution,[status(thm)],[c_176,c_53]) ).
tcf(c_234,plain,
$false,
inference(resolution,[status(thm)],[c_221,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.44 % Computer : n008.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Wed Sep 23 21:55:11 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 0.26/0.53
% 0.26/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.53
% 0.26/0.53 % Detected problem language: tptp
% 0.26/0.55 % Proving...
% 4.54/1.54 % SZS status Started for theBenchmark.p
% 4.54/1.54 % SZS status Unsatisfiable for theBenchmark.p
% 4.54/1.54
% 4.54/1.54 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.54/1.54
% 4.54/1.54 % ------ iProver source info
% 4.54/1.54
% 4.54/1.54 % git: date: 2026-07-19 20:42:38 +0200
% 4.54/1.54 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.54/1.54 % git: non_committed_changes: false
% 4.54/1.54
% 4.54/1.54 % ------ Parsing...% successful
% 4.54/1.54
% 4.54/1.54
% 4.54/1.54 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.54/1.54
% 4.54/1.54 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.54/1.54
% 4.54/1.54 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.54/1.54 % ------ Proving...
% 4.54/1.54 % ------ Problem Properties
% 4.54/1.54
% 4.54/1.54 %
% 4.54/1.54 % clauses 3
% 4.54/1.54 % conjectures 1
% 4.54/1.54 % EPR 0
% 4.54/1.54 % Horn 3
% 4.54/1.54 % unary 2
% 4.54/1.54 % binary 0
% 4.54/1.54 % lits 5
% 4.54/1.54 % lits eq 0
% 4.54/1.54 % fd_pure 0
% 4.54/1.54 % fd_pseudo 0
% 4.54/1.54 % fd_cond 0
% 4.54/1.54 % fd_pseudo_cond 0
% 4.54/1.54 % AC symbols 0
% 4.54/1.54
% 4.54/1.54 % ------ Input Options Time Limit: Unbounded
% 4.54/1.54
% 4.54/1.54
% 4.54/1.54 % ------
% 4.54/1.54 % Current options:
% 4.54/1.54 % ------
% 4.54/1.54
% 4.54/1.54
% 4.54/1.54 %
% 4.54/1.54
% 4.54/1.54 % ------ Proving...
% 4.54/1.54 %
% 4.54/1.54
% 4.54/1.54 % SZS status Unsatisfiable for theBenchmark.p
% 4.54/1.54
% 4.54/1.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.54/1.54
% 4.54/1.54
%------------------------------------------------------------------------------