%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO620-1 : 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 : n001.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 03:51:34 PM UTC 2026
% Result : Unsatisfiable 5.84s 3.46s
% Output : CNFRefutation 5.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 8
% Syntax : Number of formulae : 81 ( 16 unt; 0 def)
% Number of atoms : 280 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 301 ( 102 ~; 199 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 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 : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 202 ( 0 sgn 202 !; 0 ?; 186 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X2,X0,X1] :
( le(X0,X2)
| ~ le(max(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X2,X0,X1] :
( le(X1,X2)
| ~ le(max(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a3)
| eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f6,axiom,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a1)
| ~ eq(f(X0),a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a2)
| ~ eq(f(X0),a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a3)
| ~ eq(f(X0),a3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
tcf(c_57,plain,
! [X0: $i] : le(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X2)
| ~ le(max(X0,X1),X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,X2)
| ~ le(max(X0,X1),X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_60,plain,
! [X0: $i] :
( eq(f(X0),a3)
| eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a0)
| ~ eq(f(X0),a0)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a1)
| ~ eq(f(X0),a1)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a2)
| ~ eq(f(X0),a2)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a3)
| ~ eq(f(X0),a3)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_71,negated_conjecture,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ eq(f(X1_iProver_le_1),a3)
| ~ eq(f(X0_iProver_le_1),a3)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(subtyping,[status(esa)],[c_64]) ).
tcf(c_72,negated_conjecture,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ eq(f(X1_iProver_le_1),a2)
| ~ eq(f(X0_iProver_le_1),a2)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(subtyping,[status(esa)],[c_63]) ).
tcf(c_73,negated_conjecture,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ eq(f(X1_iProver_le_1),a1)
| ~ eq(f(X0_iProver_le_1),a1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(subtyping,[status(esa)],[c_62]) ).
tcf(c_74,negated_conjecture,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: 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(subtyping,[status(esa)],[c_61]) ).
tcf(c_75,plain,
! [X0_iProver_le_1: iProver_le_1] :
( eq(f(X0_iProver_le_1),a3)
| eq(f(X0_iProver_le_1),a2)
| eq(f(X0_iProver_le_1),a1)
| eq(f(X0_iProver_le_1),a0) ),
inference(subtyping,[status(esa)],[c_60]) ).
tcf(c_76,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( le(X1_iProver_le_1,X2_iProver_le_1)
| ~ le(max(X0_iProver_le_1,X1_iProver_le_1),X2_iProver_le_1) ),
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_77,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( le(X0_iProver_le_1,X2_iProver_le_1)
| ~ le(max(X0_iProver_le_1,X1_iProver_le_1),X2_iProver_le_1) ),
inference(subtyping,[status(esa)],[c_58]) ).
tcf(c_78,plain,
! [X0_iProver_le_1: iProver_le_1] : le(X0_iProver_le_1,X0_iProver_le_1),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_117,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] : le(X0_iProver_le_1,max(X1_iProver_le_1,X0_iProver_le_1)),
inference(superposition,[status(thm)],[c_78,c_76]) ).
tcf(c_129,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ eq(f(X1_iProver_le_1),a2)
| ~ eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a2) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
tcf(c_209,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] : le(X0_iProver_le_1,max(X1_iProver_le_1,X0_iProver_le_1)),
inference(resolution,[status(thm)],[c_76,c_78]) ).
tcf(c_212,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] : le(X0_iProver_le_1,max(X1_iProver_le_1,max(X2_iProver_le_1,X0_iProver_le_1))),
inference(resolution,[status(thm)],[c_209,c_76]) ).
tcf(c_224,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] : le(X0_iProver_le_1,max(X1_iProver_le_1,max(X2_iProver_le_1,max(X3_iProver_le_1,X0_iProver_le_1)))),
inference(resolution,[status(thm)],[c_212,c_76]) ).
tcf(c_264,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] : le(X0_iProver_le_1,max(X0_iProver_le_1,X1_iProver_le_1)),
inference(resolution,[status(thm)],[c_77,c_78]) ).
tcf(c_265,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] : le(X0_iProver_le_1,max(X1_iProver_le_1,max(X0_iProver_le_1,X2_iProver_le_1))),
inference(resolution,[status(thm)],[c_77,c_209]) ).
tcf(c_266,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] : le(X0_iProver_le_1,max(X1_iProver_le_1,max(X2_iProver_le_1,max(X0_iProver_le_1,X3_iProver_le_1)))),
inference(resolution,[status(thm)],[c_77,c_212]) ).
tcf(c_300,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] : le(X0_iProver_le_1,max(max(X1_iProver_le_1,X0_iProver_le_1),X2_iProver_le_1)),
inference(resolution,[status(thm)],[c_264,c_76]) ).
tcf(c_301,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] : le(X0_iProver_le_1,max(max(X0_iProver_le_1,X1_iProver_le_1),X2_iProver_le_1)),
inference(resolution,[status(thm)],[c_264,c_77]) ).
tcf(c_378,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a3)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(resolution,[status(thm)],[c_71,c_75]) ).
tcf(c_400,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(X0_iProver_le_1),a2)
| eq(f(X0_iProver_le_1),a1)
| eq(f(X0_iProver_le_1),a0)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(resolution,[status(thm)],[c_378,c_75]) ).
tcf(c_478,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X0_iProver_le_1),a2)
| eq(f(X0_iProver_le_1),a1)
| eq(f(X0_iProver_le_1),a0)
| eq(f(max(s(X0_iProver_le_1),X1_iProver_le_1)),a2)
| eq(f(max(s(X0_iProver_le_1),X1_iProver_le_1)),a1)
| eq(f(max(s(X0_iProver_le_1),X1_iProver_le_1)),a0) ),
inference(resolution,[status(thm)],[c_400,c_264]) ).
tcf(c_480,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a2)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a1)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a0) ),
inference(resolution,[status(thm)],[c_400,c_209]) ).
tcf(c_486,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X0_iProver_le_1),a2)
| eq(f(X0_iProver_le_1),a1)
| eq(f(X0_iProver_le_1),a0)
| eq(f(max(max(s(X0_iProver_le_1),X1_iProver_le_1),X2_iProver_le_1)),a2)
| eq(f(max(max(s(X0_iProver_le_1),X1_iProver_le_1),X2_iProver_le_1)),a1)
| eq(f(max(max(s(X0_iProver_le_1),X1_iProver_le_1),X2_iProver_le_1)),a0) ),
inference(resolution,[status(thm)],[c_400,c_301]) ).
tcf(c_669,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(s(X1_iProver_le_1),X2_iProver_le_1)),a1)
| eq(f(max(s(X1_iProver_le_1),X2_iProver_le_1)),a0)
| ~ eq(f(X0_iProver_le_1),a2)
| ~ le(s(X0_iProver_le_1),max(s(X1_iProver_le_1),X2_iProver_le_1)) ),
inference(resolution,[status(thm)],[c_478,c_72]) ).
tcf(c_704,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(s(X1_iProver_le_1),max(s(X0_iProver_le_1),X2_iProver_le_1))),a1)
| eq(f(max(s(X1_iProver_le_1),max(s(X0_iProver_le_1),X2_iProver_le_1))),a0)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(resolution,[status(thm)],[c_669,c_265]) ).
tcf(c_705,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(s(X1_iProver_le_1),max(X2_iProver_le_1,s(X0_iProver_le_1)))),a1)
| eq(f(max(s(X1_iProver_le_1),max(X2_iProver_le_1,s(X0_iProver_le_1)))),a0)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(resolution,[status(thm)],[c_669,c_212]) ).
tcf(c_870,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] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(s(X1_iProver_le_1),max(s(X2_iProver_le_1),X3_iProver_le_1))),a0)
| ~ eq(f(X2_iProver_le_1),a2)
| ~ eq(f(X0_iProver_le_1),a1)
| ~ le(s(X0_iProver_le_1),max(s(X1_iProver_le_1),max(s(X2_iProver_le_1),X3_iProver_le_1))) ),
inference(resolution,[status(thm)],[c_704,c_73]) ).
tcf(c_898,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X2_iProver_le_1),a2)
| eq(f(X2_iProver_le_1),a1)
| eq(f(X2_iProver_le_1),a0)
| eq(f(max(s(X2_iProver_le_1),max(s(X0_iProver_le_1),s(X1_iProver_le_1)))),a0)
| ~ eq(f(X1_iProver_le_1),a1)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(resolution,[status(thm)],[c_870,c_212]) ).
tcf(c_913,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] : le(X0_iProver_le_1,max(X1_iProver_le_1,max(X2_iProver_le_1,max(X3_iProver_le_1,max(X4_iProver_le_1,X0_iProver_le_1))))),
inference(resolution,[status(thm)],[c_224,c_76]) ).
tcf(c_917,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] :
( eq(f(X2_iProver_le_1),a2)
| eq(f(X2_iProver_le_1),a1)
| eq(f(X2_iProver_le_1),a0)
| eq(f(max(s(X2_iProver_le_1),max(s(X0_iProver_le_1),max(X3_iProver_le_1,s(X1_iProver_le_1))))),a0)
| ~ eq(f(X1_iProver_le_1),a1)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(resolution,[status(thm)],[c_224,c_870]) ).
tcf(c_1615,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] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X4_iProver_le_1),a1)
| ~ eq(f(X2_iProver_le_1),a2)
| ~ eq(f(X0_iProver_le_1),a0)
| ~ le(s(X0_iProver_le_1),max(s(X1_iProver_le_1),max(s(X2_iProver_le_1),max(X3_iProver_le_1,s(X4_iProver_le_1))))) ),
inference(resolution,[status(thm)],[c_917,c_74]) ).
tcf(c_1644,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] :
( eq(f(X3_iProver_le_1),a2)
| eq(f(X3_iProver_le_1),a1)
| eq(f(X3_iProver_le_1),a0)
| ~ eq(f(X2_iProver_le_1),a0)
| ~ eq(f(X1_iProver_le_1),a1)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(resolution,[status(thm)],[c_1615,c_266]) ).
tcf(c_1666,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X2_iProver_le_1),a2)
| eq(f(X2_iProver_le_1),a1)
| eq(f(X2_iProver_le_1),a0)
| ~ eq(f(X1_iProver_le_1),a1)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_898,c_1644]) ).
tcf(c_1682,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(s(X1_iProver_le_1),max(X2_iProver_le_1,s(X0_iProver_le_1)))),a0)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_705,c_1666]) ).
tcf(c_2298,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] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(max(s(X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1)),a1)
| eq(f(max(max(s(X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1)),a0)
| ~ eq(f(X0_iProver_le_1),a2)
| ~ le(s(X0_iProver_le_1),max(max(s(X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1)) ),
inference(resolution,[status(thm)],[c_486,c_72]) ).
tcf(c_2552,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] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(max(s(X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1)),a0)
| ~ eq(f(X0_iProver_le_1),a2)
| ~ le(s(X0_iProver_le_1),max(max(s(X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2298,c_1666]) ).
tcf(c_2673,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] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(max(s(X1_iProver_le_1),X2_iProver_le_1),max(X3_iProver_le_1,max(X4_iProver_le_1,max(X5_iProver_le_1,s(X0_iProver_le_1)))))),a0)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(resolution,[status(thm)],[c_2552,c_913]) ).
tcf(c_3721,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] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X3_iProver_le_1),a2)
| ~ eq(f(X0_iProver_le_1),a0)
| ~ le(s(X0_iProver_le_1),max(s(X1_iProver_le_1),max(X2_iProver_le_1,s(X3_iProver_le_1)))) ),
inference(resolution,[status(thm)],[c_1682,c_74]) ).
tcf(c_3746,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X2_iProver_le_1),a2)
| eq(f(X2_iProver_le_1),a1)
| eq(f(X2_iProver_le_1),a0)
| ~ eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(resolution,[status(thm)],[c_3721,c_265]) ).
tcf(c_3839,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2673,c_3746]) ).
tcf(c_3848,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a1)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_480,c_3839]) ).
tcf(c_3850,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a2)
| eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(X0_iProver_le_1),a1)
| eq(f(X0_iProver_le_1),a0)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_400,c_3839]) ).
tcf(c_3902,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a2)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a1)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a0) ),
inference(resolution,[status(thm)],[c_3850,c_209]) ).
tcf(c_4068,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a0)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(X1_iProver_le_1),a1) ),
inference(global_subsumption_just,[status(thm)],[c_3848,c_129,c_3848,c_3902]) ).
tcf(c_4069,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a1)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a0) ),
inference(renaming,[status(thm)],[c_4068]) ).
tcf(c_4087,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X2_iProver_le_1),a1)
| eq(f(X2_iProver_le_1),a0)
| eq(f(max(X1_iProver_le_1,s(X2_iProver_le_1))),a0)
| ~ eq(f(X0_iProver_le_1),a1)
| ~ le(s(X0_iProver_le_1),max(X1_iProver_le_1,s(X2_iProver_le_1))) ),
inference(resolution,[status(thm)],[c_4069,c_73]) ).
tcf(c_4098,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(s(X0_iProver_le_1),s(X1_iProver_le_1))),a0)
| ~ eq(f(X0_iProver_le_1),a1) ),
inference(resolution,[status(thm)],[c_4087,c_264]) ).
tcf(c_4100,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X2_iProver_le_1),a1)
| eq(f(X2_iProver_le_1),a0)
| eq(f(max(max(s(X0_iProver_le_1),X1_iProver_le_1),s(X2_iProver_le_1))),a0)
| ~ eq(f(X0_iProver_le_1),a1) ),
inference(resolution,[status(thm)],[c_4087,c_301]) ).
tcf(c_4513,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] :
( eq(f(X3_iProver_le_1),a1)
| eq(f(X3_iProver_le_1),a0)
| ~ eq(f(X1_iProver_le_1),a1)
| ~ eq(f(X0_iProver_le_1),a0)
| ~ le(s(X0_iProver_le_1),max(max(s(X1_iProver_le_1),X2_iProver_le_1),s(X3_iProver_le_1))) ),
inference(resolution,[status(thm)],[c_4100,c_74]) ).
tcf(c_4526,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X2_iProver_le_1),a1)
| eq(f(X2_iProver_le_1),a0)
| ~ eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a1) ),
inference(resolution,[status(thm)],[c_4513,c_300]) ).
tcf(c_4555,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4098,c_4526]) ).
tcf(c_4651,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4069,c_4555]) ).
tcf(c_4735,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X2_iProver_le_1),a1)
| eq(f(X2_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a0)
| ~ le(s(X0_iProver_le_1),max(X1_iProver_le_1,s(X2_iProver_le_1))) ),
inference(resolution,[status(thm)],[c_4651,c_74]) ).
tcf(c_4744,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a1)
| eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(resolution,[status(thm)],[c_4735,c_264]) ).
tcf(c_4765,plain,
! [X0_iProver_le_1: iProver_le_1] :
( eq(f(X0_iProver_le_1),a1)
| eq(f(X0_iProver_le_1),a0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4651,c_4744]) ).
tcf(c_4874,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a1)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(resolution,[status(thm)],[c_4765,c_73]) ).
tcf(c_4881,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: 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(resolution,[status(thm)],[c_4874,c_4765]) ).
tcf(c_4889,plain,
! [X0_iProver_le_1: iProver_le_1] :
( eq(f(X0_iProver_le_1),a0)
| eq(f(s(X0_iProver_le_1)),a0) ),
inference(resolution,[status(thm)],[c_4881,c_78]) ).
tcf(c_4891,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X0_iProver_le_1),a0)
| eq(f(max(s(X0_iProver_le_1),X1_iProver_le_1)),a0) ),
inference(resolution,[status(thm)],[c_4881,c_264]) ).
tcf(c_5025,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a0)
| ~ le(s(X0_iProver_le_1),max(s(X1_iProver_le_1),X2_iProver_le_1)) ),
inference(resolution,[status(thm)],[c_4891,c_74]) ).
tcf(c_5033,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(X1_iProver_le_1),a0)
| ~ eq(f(X0_iProver_le_1),a0) ),
inference(resolution,[status(thm)],[c_5025,c_209]) ).
tcf(c_5086,plain,
! [X0_iProver_le_1: iProver_le_1] : eq(f(X0_iProver_le_1),a0),
inference(backward_subsumption_resolution,[status(thm)],[c_4889,c_5033]) ).
tcf(c_5088,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ eq(f(X0_iProver_le_1),a0)
| ~ le(s(X0_iProver_le_1),X1_iProver_le_1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_74,c_5033]) ).
tcf(c_5090,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] : ~ le(s(X0_iProver_le_1),X1_iProver_le_1),
inference(global_subsumption_just,[status(thm)],[c_5088,c_74,c_5033,c_5086]) ).
tcf(c_5097,plain,
$false,
inference(resolution,[status(thm)],[c_5090,c_78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO620-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Fri Sep 25 03:21:54 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 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
% 0.25/0.51
% 0.25/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51
% 0.25/0.51 % Detected problem language: tptp
% 0.25/0.53 % Proving...
% 5.84/3.46 % SZS status Started for theBenchmark.p
% 5.84/3.46 % SZS status Unsatisfiable for theBenchmark.p
% 5.84/3.46
% 5.84/3.46 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.84/3.46
% 5.84/3.46 % ------ iProver source info
% 5.84/3.46
% 5.84/3.46 % git: date: 2026-07-19 20:42:38 +0200
% 5.84/3.46 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.84/3.46 % git: non_committed_changes: false
% 5.84/3.46
% 5.84/3.46 % ------ Parsing...% successful
% 5.84/3.46
% 5.84/3.46
% 5.84/3.46 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.84/3.46
% 5.84/3.46 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 5.84/3.46
% 5.84/3.46 % ------ Preprocessing...
% 5.84/3.46 % ------ Proving...
% 5.84/3.46 % ------ Problem Properties
% 5.84/3.46
% 5.84/3.46 %
% 5.84/3.46 % clauses 8
% 5.84/3.46 % conjectures 4
% 5.84/3.46 % EPR 1
% 5.84/3.46 % Horn 7
% 5.84/3.46 % unary 1
% 5.84/3.46 % binary 2
% 5.84/3.46 % lits 21
% 5.84/3.46 % lits eq 0
% 5.84/3.46 % fd_pure 0
% 5.84/3.46 % fd_pseudo 0
% 5.84/3.46 % fd_cond 0
% 5.84/3.46 % fd_pseudo_cond 0
% 5.84/3.46 % AC symbols 0
% 5.84/3.46
% 5.84/3.46 % ------ Input Options Time Limit: Unbounded
% 5.84/3.46
% 5.84/3.46
% 5.84/3.46 % ------
% 5.84/3.46 % Current options:
% 5.84/3.46 % ------
% 5.84/3.46
% 5.84/3.46
% 5.84/3.46 %
% 5.84/3.46
% 5.84/3.46 % ------ Proving...
% 5.84/3.46 %
% 5.84/3.46
% 5.84/3.46 % SZS status Unsatisfiable for theBenchmark.p
% 5.84/3.46
% 5.84/3.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.84/3.46
% 5.84/3.46
%------------------------------------------------------------------------------