%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO613-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 03:51:33 PM UTC 2026
% Result : Unsatisfiable 3.87s 1.28s
% Output : CNFRefutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 62 ( 18 unt; 0 def)
% Number of atoms : 246 ( 0 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 377 ( 193 ~; 184 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 147 ( 0 sgn 147 !; 0 ?; 133 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f4,axiom,
! [X0] : eq(f(X0),a0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ le(s(X10),X11)
| ~ le(s(X9),X10)
| ~ le(s(X8),X9)
| ~ le(s(X7),X8)
| ~ le(s(X6),X7)
| ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1)
| ~ eq(f(X11),a0)
| ~ eq(f(X10),a0)
| ~ eq(f(X9),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X7),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
tcf(c_54,plain,
! [X0: $i] : le(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i] : eq(f(X0),a0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,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] :
( ~ eq(f(X11),a0)
| ~ eq(f(X10),a0)
| ~ eq(f(X9),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X7),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0)
| ~ le(s(X10),X11)
| ~ le(s(X9),X10)
| ~ le(s(X8),X9)
| ~ le(s(X7),X8)
| ~ le(s(X6),X7)
| ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,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] :
( ~ eq(f(X11),a0)
| ~ eq(f(X10),a0)
| ~ eq(f(X9),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X7),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X10)
| ~ le(s(X10),X11) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_57,c_58]) ).
tcf(c_63,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] :
( ~ eq(f(X11),a0)
| ~ eq(f(X10),a0)
| ~ eq(f(X9),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X7),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0)
| ~ le(s(X10),X11)
| ~ le(s(X9),X10)
| ~ le(s(X8),X9)
| ~ le(s(X7),X8)
| ~ le(s(X6),X7)
| ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1) ),
inference(renaming,[status(thm)],[c_62]) ).
tcf(c_72,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1,X3_iProver_le_1: iProver_le_1,X4_iProver_le_1: iProver_le_1,X5_iProver_le_1: iProver_le_1,X6_iProver_le_1: iProver_le_1,X7_iProver_le_1: iProver_le_1,X8_iProver_le_1: iProver_le_1,X9_iProver_le_1: iProver_le_1,X10_iProver_le_1: iProver_le_1,X11_iProver_le_1: iProver_le_1] :
( ~ eq(f(X10_iProver_le_1),a0)
| ~ eq(f(X9_iProver_le_1),a0)
| ~ eq(f(X8_iProver_le_1),a0)
| ~ eq(f(X7_iProver_le_1),a0)
| ~ eq(f(X6_iProver_le_1),a0)
| ~ eq(f(X5_iProver_le_1),a0)
| ~ eq(f(X4_iProver_le_1),a0)
| ~ eq(f(X3_iProver_le_1),a0)
| ~ eq(f(X2_iProver_le_1),a0)
| ~ eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a0)
| ~ le(s(X11_iProver_le_1),X0_iProver_le_1)
| ~ le(s(X9_iProver_le_1),X10_iProver_le_1)
| ~ le(s(X8_iProver_le_1),X9_iProver_le_1)
| ~ le(s(X7_iProver_le_1),X8_iProver_le_1)
| ~ le(s(X6_iProver_le_1),X7_iProver_le_1)
| ~ le(s(X5_iProver_le_1),X6_iProver_le_1)
| ~ le(s(X4_iProver_le_1),X5_iProver_le_1)
| ~ le(s(X3_iProver_le_1),X4_iProver_le_1)
| ~ le(s(X2_iProver_le_1),X3_iProver_le_1)
| ~ le(s(X1_iProver_le_1),X2_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(subtyping,[status(esa)],[c_63]) ).
tcf(c_73,plain,
! [X0_iProver_le_1: iProver_le_1] : eq(f(X0_iProver_le_1),a0),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_76,plain,
! [X0_iProver_le_1: iProver_le_1] : le(X0_iProver_le_1,X0_iProver_le_1),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_77,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_10(X1_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_72]) ).
tcf(c_78,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_11(X1_iProver_le_1)
| ~ le(s(X1_iProver_le_1),X0_iProver_le_1)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_72]) ).
tcf(c_79,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_12(X1_iProver_le_1)
| iPr_def_10(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_72]) ).
tcf(c_80,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_13(X1_iProver_le_1)
| iPr_def_12(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_72]) ).
tcf(c_81,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_14(X1_iProver_le_1)
| iPr_def_13(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_72]) ).
tcf(c_82,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_15(X1_iProver_le_1)
| iPr_def_14(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_72]) ).
tcf(c_83,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_16(X1_iProver_le_1)
| iPr_def_15(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_72]) ).
tcf(c_84,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_17(X1_iProver_le_1)
| iPr_def_16(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_72]) ).
tcf(c_85,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_18(X1_iProver_le_1)
| iPr_def_17(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_72]) ).
tcf(c_86,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_19(X1_iProver_le_1)
| iPr_def_18(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_72]) ).
tcf(c_87,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_19(X0_iProver_le_1)
| iPr_def_11(X1_iProver_le_1)
| ~ eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a0)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_72]) ).
tcf(c_118,plain,
! [X0_iProver_le_1: iProver_le_1] : ~ iPr_def_10(s(X0_iProver_le_1)),
inference(superposition,[status(thm)],[c_76,c_77]) ).
tcf(c_127,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_11(X1_iProver_le_1)
| ~ le(s(X1_iProver_le_1),X0_iProver_le_1) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_73,c_78]) ).
tcf(c_128,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_11(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(renaming,[status(thm)],[c_127]) ).
tcf(c_132,plain,
! [X0_iProver_le_1: iProver_le_1] : ~ iPr_def_11(X0_iProver_le_1),
inference(superposition,[status(thm)],[c_76,c_128]) ).
tcf(c_134,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_19(X1_iProver_le_1)
| iPr_def_18(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(global_subsumption_just,[status(thm)],[c_86,c_73,c_86]) ).
tcf(c_135,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_18(X0_iProver_le_1)
| ~ iPr_def_19(X1_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(renaming,[status(thm)],[c_134]) ).
tcf(c_140,plain,
! [X0_iProver_le_1: iProver_le_1] :
( iPr_def_18(X0_iProver_le_1)
| ~ iPr_def_19(s(X0_iProver_le_1)) ),
inference(superposition,[status(thm)],[c_76,c_135]) ).
tcf(c_144,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_18(X1_iProver_le_1)
| iPr_def_17(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(global_subsumption_just,[status(thm)],[c_85,c_73,c_85]) ).
tcf(c_145,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_17(X0_iProver_le_1)
| ~ iPr_def_18(X1_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(renaming,[status(thm)],[c_144]) ).
tcf(c_150,plain,
! [X0_iProver_le_1: iProver_le_1] :
( iPr_def_17(X0_iProver_le_1)
| ~ iPr_def_18(s(X0_iProver_le_1)) ),
inference(superposition,[status(thm)],[c_76,c_145]) ).
tcf(c_154,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_17(X1_iProver_le_1)
| iPr_def_16(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(global_subsumption_just,[status(thm)],[c_84,c_73,c_84]) ).
tcf(c_155,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_16(X0_iProver_le_1)
| ~ iPr_def_17(X1_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(renaming,[status(thm)],[c_154]) ).
tcf(c_160,plain,
! [X0_iProver_le_1: iProver_le_1] :
( iPr_def_16(X0_iProver_le_1)
| ~ iPr_def_17(s(X0_iProver_le_1)) ),
inference(superposition,[status(thm)],[c_76,c_155]) ).
tcf(c_164,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_16(X1_iProver_le_1)
| iPr_def_15(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(global_subsumption_just,[status(thm)],[c_83,c_73,c_83]) ).
tcf(c_165,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_15(X0_iProver_le_1)
| ~ iPr_def_16(X1_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(renaming,[status(thm)],[c_164]) ).
tcf(c_170,plain,
! [X0_iProver_le_1: iProver_le_1] :
( iPr_def_15(X0_iProver_le_1)
| ~ iPr_def_16(s(X0_iProver_le_1)) ),
inference(superposition,[status(thm)],[c_76,c_165]) ).
tcf(c_174,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_15(X1_iProver_le_1)
| iPr_def_14(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(global_subsumption_just,[status(thm)],[c_82,c_73,c_82]) ).
tcf(c_175,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_14(X0_iProver_le_1)
| ~ iPr_def_15(X1_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(renaming,[status(thm)],[c_174]) ).
tcf(c_180,plain,
! [X0_iProver_le_1: iProver_le_1] :
( iPr_def_14(X0_iProver_le_1)
| ~ iPr_def_15(s(X0_iProver_le_1)) ),
inference(superposition,[status(thm)],[c_76,c_175]) ).
tcf(c_184,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_14(X1_iProver_le_1)
| iPr_def_13(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(global_subsumption_just,[status(thm)],[c_81,c_73,c_81]) ).
tcf(c_185,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_13(X0_iProver_le_1)
| ~ iPr_def_14(X1_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(renaming,[status(thm)],[c_184]) ).
tcf(c_190,plain,
! [X0_iProver_le_1: iProver_le_1] :
( iPr_def_13(X0_iProver_le_1)
| ~ iPr_def_14(s(X0_iProver_le_1)) ),
inference(superposition,[status(thm)],[c_76,c_185]) ).
tcf(c_194,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_13(X1_iProver_le_1)
| iPr_def_12(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(global_subsumption_just,[status(thm)],[c_80,c_73,c_80]) ).
tcf(c_195,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_12(X0_iProver_le_1)
| ~ iPr_def_13(X1_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(renaming,[status(thm)],[c_194]) ).
tcf(c_200,plain,
! [X0_iProver_le_1: iProver_le_1] :
( iPr_def_12(X0_iProver_le_1)
| ~ iPr_def_13(s(X0_iProver_le_1)) ),
inference(superposition,[status(thm)],[c_76,c_195]) ).
tcf(c_210,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ iPr_def_12(X1_iProver_le_1)
| iPr_def_10(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(global_subsumption_just,[status(thm)],[c_79,c_73,c_79]) ).
tcf(c_211,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_10(X0_iProver_le_1)
| ~ iPr_def_12(X1_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(renaming,[status(thm)],[c_210]) ).
tcf(c_216,plain,
! [X0_iProver_le_1: iProver_le_1] :
( iPr_def_10(X0_iProver_le_1)
| ~ iPr_def_12(s(X0_iProver_le_1)) ),
inference(superposition,[status(thm)],[c_76,c_211]) ).
tcf(c_220,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_19(X0_iProver_le_1)
| iPr_def_11(X1_iProver_le_1)
| ~ eq(f(X1_iProver_le_1),a0)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(global_subsumption_just,[status(thm)],[c_87,c_73,c_87]) ).
tcf(c_226,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( iPr_def_19(X0_iProver_le_1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220,c_132,c_73]) ).
tcf(c_229,plain,
! [X0_iProver_le_1: iProver_le_1] : iPr_def_19(X0_iProver_le_1),
inference(superposition,[status(thm)],[c_76,c_226]) ).
tcf(c_353,plain,
! [X0_iProver_le_1: iProver_le_1] : iPr_def_18(X0_iProver_le_1),
inference(forward_subsumption_resolution,[status(thm)],[c_140,c_229]) ).
tcf(c_356,plain,
! [X0_iProver_le_1: iProver_le_1] : iPr_def_17(X0_iProver_le_1),
inference(forward_subsumption_resolution,[status(thm)],[c_150,c_353]) ).
tcf(c_366,plain,
! [X0_iProver_le_1: iProver_le_1] : iPr_def_16(X0_iProver_le_1),
inference(forward_subsumption_resolution,[status(thm)],[c_160,c_356]) ).
tcf(c_369,plain,
! [X0_iProver_le_1: iProver_le_1] : iPr_def_15(X0_iProver_le_1),
inference(forward_subsumption_resolution,[status(thm)],[c_170,c_366]) ).
tcf(c_372,plain,
! [X0_iProver_le_1: iProver_le_1] : iPr_def_14(X0_iProver_le_1),
inference(forward_subsumption_resolution,[status(thm)],[c_180,c_369]) ).
tcf(c_375,plain,
! [X0_iProver_le_1: iProver_le_1] : iPr_def_13(X0_iProver_le_1),
inference(forward_subsumption_resolution,[status(thm)],[c_190,c_372]) ).
tcf(c_378,plain,
! [X0_iProver_le_1: iProver_le_1] : iPr_def_12(X0_iProver_le_1),
inference(forward_subsumption_resolution,[status(thm)],[c_200,c_375]) ).
tcf(c_384,plain,
! [X0_iProver_le_1: iProver_le_1] : iPr_def_10(X0_iProver_le_1),
inference(forward_subsumption_resolution,[status(thm)],[c_216,c_378]) ).
tcf(c_385,plain,
$false,
inference(superposition,[status(thm)],[c_384,c_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO613-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 03:15:09 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 3.87/1.28 % SZS status Started for theBenchmark.p
% 3.87/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.87/1.28
% 3.87/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.87/1.28
% 3.87/1.28 % ------ iProver source info
% 3.87/1.28
% 3.87/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.87/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.87/1.28 % git: non_committed_changes: false
% 3.87/1.28
% 3.87/1.28 % ------ Parsing...% successful
% 3.87/1.28
% 3.87/1.28
% 3.87/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.87/1.28
% 3.87/1.28 % ------ Preprocessing... pe_s pe_e %
% 3.87/1.28
% 3.87/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 10 0s scvd_e snvd_s sp: 0 0s snvd_e
% 3.87/1.28 % ------ Proving...
% 3.87/1.28 % ------ Problem Properties
% 3.87/1.28
% 3.87/1.28 %
% 3.87/1.28 % clauses 15
% 3.87/1.28 % conjectures 0
% 3.87/1.28 % EPR 1
% 3.87/1.28 % Horn 14
% 3.87/1.28 % unary 2
% 3.87/1.28 % binary 3
% 3.87/1.28 % lits 48
% 3.87/1.28 % lits eq 0
% 3.87/1.28 % fd_pure 0
% 3.87/1.28 % fd_pseudo 0
% 3.87/1.28 % fd_cond 0
% 3.87/1.28 % fd_pseudo_cond 0
% 3.87/1.28 % AC symbols 0
% 3.87/1.28
% 3.87/1.28 % ------ Input Options Time Limit: Unbounded
% 3.87/1.28
% 3.87/1.28
% 3.87/1.28 % ------
% 3.87/1.28 % Current options:
% 3.87/1.28 % ------
% 3.87/1.28
% 3.87/1.28
% 3.87/1.28 %
% 3.87/1.28
% 3.87/1.28 % ------ Proving...
% 3.87/1.28 %
% 3.87/1.28
% 3.87/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.87/1.28
% 3.87/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.87/1.28
% 3.87/1.28
%------------------------------------------------------------------------------