%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO617-1 : 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 : n002.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 2.94s 16.11s
% Output : CNFRefutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 66 ( 20 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 145 ( 80 ~; 65 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 9 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 173 ( 0 sgn 173 !; 0 ?; 159 :)
% 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),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) ).
tcf(c_56,plain,
! [X0: $i] : le(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X2)
| ~ le(max(X0,X1),X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,X2)
| ~ le(max(X0,X1),X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
! [X0: $i] :
( eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a0)
| ~ eq(f(X0),a0)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a1)
| ~ eq(f(X0),a1)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a2)
| ~ eq(f(X0),a2)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_76,plain,
! [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_62]) ).
tcf(c_77,plain,
! [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_61]) ).
tcf(c_78,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(subtyping,[status(esa)],[c_60]) ).
tcf(c_79,plain,
! [X0_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) ),
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_80,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_58]) ).
tcf(c_81,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_57]) ).
tcf(c_82,plain,
! [X0_iProver_le_1: iProver_le_1] : le(X0_iProver_le_1,X0_iProver_le_1),
inference(subtyping,[status(esa)],[c_56]) ).
tcf(c_97,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(superposition,[status(thm)],[c_82,c_81]) ).
tcf(c_101,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_82,c_80]) ).
tcf(c_126,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ eq(f(X0_iProver_le_1),a2)
| ~ eq(f(max(s(X0_iProver_le_1),X1_iProver_le_1)),a2) ),
inference(superposition,[status(thm)],[c_97,c_76]) ).
tcf(c_130,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(superposition,[status(thm)],[c_97,c_81]) ).
tcf(c_156,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(superposition,[status(thm)],[c_101,c_80]) ).
tcf(c_157,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(superposition,[status(thm)],[c_101,c_81]) ).
tcf(c_194,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(max(max(X0_iProver_le_1,X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1)),
inference(superposition,[status(thm)],[c_130,c_81]) ).
tcf(c_244,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( 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)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(superposition,[status(thm)],[c_79,c_126]) ).
tcf(c_249,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(max(X0_iProver_le_1,max(s(X1_iProver_le_1),X2_iProver_le_1))),a2) ),
inference(superposition,[status(thm)],[c_157,c_76]) ).
tcf(c_250,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),a1)
| ~ eq(f(max(X0_iProver_le_1,max(s(X1_iProver_le_1),X2_iProver_le_1))),a1) ),
inference(superposition,[status(thm)],[c_157,c_77]) ).
tcf(c_271,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(max(X0_iProver_le_1,max(X1_iProver_le_1,s(X2_iProver_le_1)))),a2) ),
inference(superposition,[status(thm)],[c_156,c_76]) ).
tcf(c_272,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(max(X0_iProver_le_1,max(X1_iProver_le_1,s(X2_iProver_le_1)))),a1) ),
inference(superposition,[status(thm)],[c_156,c_77]) ).
tcf(c_273,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),a0)
| ~ eq(f(max(X0_iProver_le_1,max(X1_iProver_le_1,s(X2_iProver_le_1)))),a0) ),
inference(superposition,[status(thm)],[c_156,c_78]) ).
tcf(c_311,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(X0_iProver_le_1),a0)
| ~ eq(f(max(max(max(s(X0_iProver_le_1),X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1)),a0) ),
inference(superposition,[status(thm)],[c_194,c_78]) ).
tcf(c_313,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(max(max(max(X0_iProver_le_1,X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1),X4_iProver_le_1)),
inference(superposition,[status(thm)],[c_194,c_81]) ).
tcf(c_481,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(max(s(X0_iProver_le_1),max(s(X1_iProver_le_1),X2_iProver_le_1))),a0)
| ~ eq(f(X1_iProver_le_1),a1)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(superposition,[status(thm)],[c_244,c_250]) ).
tcf(c_488,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(max(X1_iProver_le_1,max(s(X0_iProver_le_1),X2_iProver_le_1))),a1)
| eq(f(max(X1_iProver_le_1,max(s(X0_iProver_le_1),X2_iProver_le_1))),a0)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(superposition,[status(thm)],[c_79,c_249]) ).
tcf(c_575,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(max(X1_iProver_le_1,max(X2_iProver_le_1,s(X0_iProver_le_1)))),a1)
| eq(f(max(X1_iProver_le_1,max(X2_iProver_le_1,s(X0_iProver_le_1)))),a0)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(superposition,[status(thm)],[c_79,c_271]) ).
tcf(c_622,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(X0_iProver_le_1),a2)
| ~ eq(f(max(max(max(max(s(X0_iProver_le_1),X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1),X4_iProver_le_1)),a2) ),
inference(superposition,[status(thm)],[c_313,c_76]) ).
tcf(c_626,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] : le(X0_iProver_le_1,max(max(max(max(max(X0_iProver_le_1,X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1),X4_iProver_le_1),X5_iProver_le_1)),
inference(superposition,[status(thm)],[c_313,c_81]) ).
tcf(c_1314,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),a0)
| ~ eq(f(X1_iProver_le_1),a1)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(superposition,[status(thm)],[c_481,c_273]) ).
tcf(c_1328,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(max(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(superposition,[status(thm)],[c_488,c_272]) ).
tcf(c_1350,plain,
! [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),a2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1328,c_1314]) ).
tcf(c_1516,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(max(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_575,c_1350]) ).
tcf(c_1526,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),a2) ),
inference(superposition,[status(thm)],[c_1516,c_311]) ).
tcf(c_1543,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] : le(X0_iProver_le_1,max(max(max(max(max(max(X0_iProver_le_1,X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1),X4_iProver_le_1),X5_iProver_le_1),X6_iProver_le_1)),
inference(superposition,[status(thm)],[c_626,c_81]) ).
tcf(c_1613,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(max(max(max(max(s(X0_iProver_le_1),X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1),X4_iProver_le_1)),a1)
| eq(f(max(max(max(max(s(X0_iProver_le_1),X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1),X4_iProver_le_1)),a0)
| ~ eq(f(X0_iProver_le_1),a2) ),
inference(superposition,[status(thm)],[c_79,c_622]) ).
tcf(c_1617,plain,
! [X0_iProver_le_1: iProver_le_1] : ~ eq(f(X0_iProver_le_1),a2),
inference(forward_subsumption_resolution,[status(thm)],[c_1613,c_1350,c_1526]) ).
tcf(c_2554,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] :
( ~ eq(f(X0_iProver_le_1),a0)
| ~ eq(f(max(max(max(max(max(max(s(X0_iProver_le_1),X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1),X4_iProver_le_1),X5_iProver_le_1),X6_iProver_le_1)),a0) ),
inference(superposition,[status(thm)],[c_1543,c_78]) ).
tcf(c_2679,plain,
! [X0_iProver_le_1: iProver_le_1] :
( eq(f(X0_iProver_le_1),a1)
| eq(f(X0_iProver_le_1),a0) ),
inference(superposition,[status(thm)],[c_79,c_1617]) ).
tcf(c_3138,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(superposition,[status(thm)],[c_82,c_81]) ).
tcf(c_3256,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_82,c_80]) ).
tcf(c_3275,plain,
! [X0_iProver_le_1: iProver_le_1] :
( eq(f(X0_iProver_le_1),a0)
| eq(f(X0_iProver_le_1),a1) ),
inference(global_subsumption_just,[status(thm)],[c_79,c_79,c_1617]) ).
tcf(c_3276,plain,
! [X0_iProver_le_1: iProver_le_1] :
( eq(f(X0_iProver_le_1),a1)
| eq(f(X0_iProver_le_1),a0) ),
inference(renaming,[status(thm)],[c_3275]) ).
tcf(c_3335,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ eq(f(X0_iProver_le_1),a1)
| ~ eq(f(max(s(X0_iProver_le_1),X1_iProver_le_1)),a1) ),
inference(superposition,[status(thm)],[c_3138,c_77]) ).
tcf(c_3346,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( ~ eq(f(X1_iProver_le_1),a0)
| ~ eq(f(max(X0_iProver_le_1,s(X1_iProver_le_1))),a0) ),
inference(superposition,[status(thm)],[c_3256,c_78]) ).
tcf(c_3348,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(superposition,[status(thm)],[c_3256,c_81]) ).
tcf(c_3470,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1] :
( eq(f(max(s(X0_iProver_le_1),X1_iProver_le_1)),a0)
| ~ eq(f(X0_iProver_le_1),a1) ),
inference(superposition,[status(thm)],[c_3276,c_3335]) ).
tcf(c_3497,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),a1)
| ~ eq(f(max(X0_iProver_le_1,max(s(X1_iProver_le_1),X2_iProver_le_1))),a1) ),
inference(superposition,[status(thm)],[c_3348,c_77]) ).
tcf(c_3927,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) ),
inference(superposition,[status(thm)],[c_3470,c_3346]) ).
tcf(c_4023,plain,
! [X0_iProver_le_1: iProver_le_1,X1_iProver_le_1: iProver_le_1,X2_iProver_le_1: iProver_le_1] :
( eq(f(max(X1_iProver_le_1,max(s(X0_iProver_le_1),X2_iProver_le_1))),a0)
| ~ eq(f(X0_iProver_le_1),a1) ),
inference(superposition,[status(thm)],[c_3276,c_3497]) ).
tcf(c_4026,plain,
! [X0_iProver_le_1: iProver_le_1] : ~ eq(f(X0_iProver_le_1),a1),
inference(forward_subsumption_resolution,[status(thm)],[c_4023,c_3927]) ).
tcf(c_4419,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] : ~ eq(f(max(max(max(max(max(max(s(X0_iProver_le_1),X1_iProver_le_1),X2_iProver_le_1),X3_iProver_le_1),X4_iProver_le_1),X5_iProver_le_1),X6_iProver_le_1)),a0),
inference(global_subsumption_just,[status(thm)],[c_2554,c_79,c_1617,c_2554,c_4026]) ).
tcf(c_4582,plain,
! [X0_iProver_le_1: iProver_le_1] : eq(f(X0_iProver_le_1),a0),
inference(global_subsumption_just,[status(thm)],[c_2679,c_79,c_1617,c_4026]) ).
tcf(c_4648,plain,
$false,
inference(superposition,[status(thm)],[c_4582,c_4419]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO617-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/15.40 % Computer : n002.cluster.edu
% 0.10/15.40 % Model : x86_64 x86_64
% 0.10/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.40 % Memory : 8046.5625MB
% 0.10/15.40 % OS : Linux 6.8.0-71-generic
% 0.13/15.40 % CPULimit : 300
% 0.13/15.40 % WCLimit : 300
% 0.13/15.40 % DateTime : Fri Sep 25 03:18:06 UTC 2026
% 0.13/15.40 % CPUTime :
% 0.13/15.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/15.44 Running first-order theorem proving
% 0.13/15.44 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
% 0.13/15.45
% 0.13/15.45 % ======== iProver multi-core TPTP/SMT =========
% 0.13/15.45
% 0.13/15.45 % Detected problem language: tptp
% 0.13/15.46 % Proving...
% 2.94/16.11 % SZS status Started for theBenchmark.p
% 2.94/16.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.94/16.11
% 2.94/16.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.94/16.11
% 2.94/16.11 % ------ iProver source info
% 2.94/16.11
% 2.94/16.11 % git: date: 2026-07-19 20:42:38 +0200
% 2.94/16.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.94/16.11 % git: non_committed_changes: false
% 2.94/16.11
% 2.94/16.11 % ------ Parsing...% successful
% 2.94/16.11
% 2.94/16.11
% 2.94/16.11 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.94/16.11
% 2.94/16.11 % ------ Preprocessing... pe_s pe_e %
% 2.94/16.11
% 2.94/16.11 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 0 0s scvd_e snvd_s sp: 0 0s snvd_e
% 2.94/16.11 % ------ Proving...
% 2.94/16.11 % ------ Problem Properties
% 2.94/16.11
% 2.94/16.11 %
% 2.94/16.11 % clauses 7
% 2.94/16.11 % conjectures 0
% 2.94/16.11 % EPR 1
% 2.94/16.11 % Horn 6
% 2.94/16.11 % unary 1
% 2.94/16.11 % binary 2
% 2.94/16.11 % lits 17
% 2.94/16.11 % lits eq 0
% 2.94/16.11 % fd_pure 0
% 2.94/16.11 % fd_pseudo 0
% 2.94/16.11 % fd_cond 0
% 2.94/16.11 % fd_pseudo_cond 0
% 2.94/16.11 % AC symbols 0
% 2.94/16.11
% 2.94/16.11 % ------ Input Options Time Limit: Unbounded
% 2.94/16.11
% 2.94/16.11
% 2.94/16.11 % ------
% 2.94/16.11 % Current options:
% 2.94/16.11 % ------
% 2.94/16.11
% 2.94/16.11
% 2.94/16.11 %
% 2.94/16.11
% 2.94/16.11 % ------ Proving...
% 2.94/16.11 %
% 2.94/16.11
% 2.94/16.11 % SZS status Unsatisfiable for theBenchmark.p
% 2.94/16.11
% 2.94/16.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.94/16.11
%------------------------------------------------------------------------------