%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN163-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 03:39:20 PM UTC 2026
% Result : Unsatisfiable 2.67s 1.14s
% Output : CNFRefutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 58
% Syntax : Number of formulae : 201 ( 41 unt; 0 def)
% Number of atoms : 495 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 593 ( 299 ~; 294 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 38 ( 37 usr; 7 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 228 ( 0 sgn 228 !; 0 ?; 140 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_10) ).
fof(f11,axiom,
n0(e,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_11) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_003) ).
fof(f70,axiom,
! [X0] :
( ~ s0(X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_032) ).
fof(f73,axiom,
! [X0,X1] :
( ~ l0(X1)
| ~ r0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_035) ).
fof(f101,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ n0(d,X0)
| p1(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_063) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f128,axiom,
( ~ k0(e)
| ~ r0(e)
| p1(e,e,e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_090) ).
fof(f130,axiom,
! [X2,X3,X0,X1] :
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_092) ).
fof(f138,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_100) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ m1(X0,X1,X1)
| ~ r0(X2)
| q1(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_113) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_117) ).
fof(f162,axiom,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f178,axiom,
! [X0,X1] :
( ~ p1(b,X0,X1)
| ~ r0(e)
| ~ r1(b)
| n2(e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_140) ).
fof(f179,axiom,
! [X0] :
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_141) ).
fof(f183,axiom,
! [X0,X1] :
( ~ p1(X0,X1,e)
| ~ r0(e)
| p2(e,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_145) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).
fof(f215,axiom,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_177) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f224,axiom,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f226,axiom,
! [X0] :
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_188) ).
fof(f232,axiom,
! [X0,X1] :
( ~ k2(X1,X0)
| k3(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_194) ).
fof(f248,axiom,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_210) ).
fof(f253,axiom,
! [X0,X1] :
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_215) ).
fof(f274,axiom,
! [X0] :
( ~ n2(X0)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
fof(f280,axiom,
! [X2,X0,X1] :
( ~ k3(X1,X2,X0)
| ~ r2(X1)
| p3(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_242) ).
fof(f289,axiom,
! [X2,X3,X0,X1] :
( ~ p2(X0,X1,X3)
| ~ m3(X1,X2,X3)
| p3(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_251) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
fof(f312,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_274) ).
fof(f319,axiom,
! [X0,X1] :
( ~ n4(X0,X0)
| ~ p3(X0,X1,X1)
| n4(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_281) ).
fof(f322,axiom,
! [X0,X1] :
( ~ m3(X0,X0,X0)
| ~ k4(X1)
| n4(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_284) ).
fof(f331,axiom,
! [X2,X0,X1] :
( ~ l3(X1,X1)
| ~ n4(X2,X0)
| ~ q3(X1,X2)
| p4(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_293) ).
fof(f333,axiom,
! [X2,X3,X0,X1,X4] :
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).
fof(f336,axiom,
! [X2,X3,X0,X1] :
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0)
| r4(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).
fof(f345,axiom,
! [X2,X3,X0,X1,X4] :
( ~ n5(X4,X1)
| ~ p4(X4,X4,X1)
| ~ n4(X0,X3)
| ~ q4(X2,X3)
| n5(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_307) ).
fof(f352,axiom,
! [X0] :
( ~ r4(X0)
| n5(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_314) ).
fof(f369,negated_conjecture,
~ n5(e,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_422,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_424,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_426,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_427,plain,
p0(b,d),
inference(cnf_transformation,[],[f10]) ).
tcf(c_428,plain,
n0(e,b),
inference(cnf_transformation,[],[f11]) ).
tcf(c_430,plain,
r0(e),
inference(cnf_transformation,[],[f13]) ).
tcf(c_431,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_434,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_435,plain,
p0(c,b),
inference(cnf_transformation,[],[f18]) ).
tcf(c_437,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_444,plain,
m0(e,b,c),
inference(cnf_transformation,[],[f27]) ).
tcf(c_445,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_447,plain,
n0(e,e),
inference(cnf_transformation,[],[f30]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_451,plain,
n0(c,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_453,plain,
q0(a,b),
inference(cnf_transformation,[],[f36]) ).
tcf(c_454,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l1(X1,X0)
| ~ r0(X3)
| ~ p0(X2,X1)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_487,plain,
! [X0: $i] :
( m1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_490,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ l0(X1)
| ~ r0(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_517,plain,
! [X0: $i,X1: $i] :
( p1(X0,X0,X1)
| ~ k0(X1)
| ~ n0(d,X0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_522,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_543,plain,
( p1(e,e,e)
| ~ k0(e)
| ~ r0(e) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( q1(X3,X1,X3)
| ~ p0(X2,X3)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i] :
( q1(X1,X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i,X2: $i] :
( q1(X0,X0,X1)
| ~ r0(X2)
| ~ m1(X0,X1,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_570,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( k2(X2,X1)
| ~ k1(X3)
| ~ k2(X3,X1)
| ~ m1(X0,X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] :
( k2(X1,X1)
| ~ q1(X0,X1,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i] :
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_593,plain,
! [X0: $i] :
( p2(X0,a,X0)
| ~ q1(X0,a,X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( p2(e,X0,X1)
| ~ r0(e)
| ~ p1(X0,X1,e) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i] :
( p2(X1,X0,X1)
| ~ m1(X0,X1,X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_633,plain,
! [X0: $i] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i] :
( q2(X1,X1,X0)
| ~ l1(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_640,plain,
! [X0: $i] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i] :
( k3(X1,X1,X0)
| ~ k2(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_660,plain,
! [X0: $i] :
( k3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_686,plain,
! [X0: $i] :
( m3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i,X2: $i] :
( n3(X2)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i,X2: $i] :
( p3(X2,X0,X1)
| ~ r2(X0)
| ~ k3(X0,X1,X2) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p3(X0,X1,X1)
| ~ m3(X1,X3,X2)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X1,X2)
| ~ n0(X0,X1)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_724,plain,
( k4(c)
| ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_729,plain,
! [X0: $i,X1: $i] :
( n4(X0,X1)
| ~ n4(X0,X0)
| ~ p3(X0,X1,X1) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_732,plain,
! [X0: $i,X1: $i] :
( n4(X0,X0)
| ~ k4(X1)
| ~ m3(X0,X0,X0) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i,X2: $i] :
( p4(X2,X2,X2)
| ~ n4(X1,X2)
| ~ q3(X0,X1)
| ~ l3(X0,X0) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( q4(X2,X1)
| ~ m3(X0,X4,X0)
| ~ k3(X3,X3,X2)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4(X1)
| ~ n3(X1)
| ~ q3(X2,X3)
| ~ p0(X0,X1) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( n5(X2,X1)
| ~ q4(X4,X3)
| ~ n4(X2,X3)
| ~ n5(X0,X1)
| ~ p4(X0,X0,X1) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_758,plain,
! [X0: $i] :
( n5(X0,X0)
| ~ r4(X0) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_768,negated_conjecture,
~ n5(e,a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_769,plain,
q0(b,d),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_784,plain,
( m3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_686]) ).
tcf(c_786,plain,
( k3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_660]) ).
tcf(c_788,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_589]) ).
tcf(c_790,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_792,plain,
( m1(b,b,b)
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_487]) ).
tcf(c_819,plain,
( q2(b,b,b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_820,plain,
( p2(b,b,b)
| ~ m1(b,b,b) ),
inference(instantiation,[status(thm)],[c_628]) ).
tcf(c_846,plain,
( l3(b,b)
| ~ r0(b)
| ~ p2(b,b,b) ),
inference(instantiation,[status(thm)],[c_665]) ).
tcf(c_888,plain,
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_914,plain,
( q4(b,b)
| ~ m3(b,b,b)
| ~ k3(b,b,b)
| ~ q2(b,b,b) ),
inference(instantiation,[status(thm)],[c_743]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i] :
( p2(e,X0,X1)
| ~ p1(X0,X1,e) ),
inference(global_subsumption_just,[status(thm)],[c_597,c_430,c_597]) ).
tcf(c_996,plain,
( p2(e,b,b)
| ~ p1(b,b,e) ),
inference(instantiation,[status(thm)],[c_994]) ).
tcf(c_1010,plain,
( k4(c)
| ~ n3(e)
| ~ q3(e,b) ),
inference(global_subsumption_just,[status(thm)],[c_724,c_451,c_724]) ).
tcf(c_1015,plain,
( n2(e)
| ~ r1(b) ),
inference(global_subsumption_just,[status(thm)],[c_592,c_449,c_430,c_790,c_888]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_577,c_418,c_577]) ).
tcf(c_1028,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(renaming,[status(thm)],[c_1027]) ).
tcf(c_1076,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_21
| ~ q3(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_746]) ).
tcf(c_1077,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_22
| ~ n3(X1)
| r4(X1)
| ~ p0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_746]) ).
tcf(c_1078,plain,
( iPr_def_22
| iPr_def_21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_746]) ).
tcf(c_1090,plain,
! [X0: $i] :
( ~ iPr_def_30
| ~ k4(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_732]) ).
tcf(c_1091,plain,
! [X0: $i] :
( ~ iPr_def_31
| n4(X0,X0)
| ~ m3(X0,X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_732]) ).
tcf(c_1092,plain,
( iPr_def_31
| iPr_def_30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_732]) ).
tcf(c_1170,plain,
! [X0: $i] :
( ~ iPr_def_82
| ~ r0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_82])],[c_566]) ).
tcf(c_1211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_107
| ~ p0(X2,X1)
| l1(X1,X0)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_107])],[c_458]) ).
tcf(c_1212,plain,
( iPr_def_107
| iPr_def_82 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).
tcf(c_1222,plain,
( ~ iPr_def_82
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1170]) ).
tcf(c_1225,plain,
( ~ iPr_def_21
| ~ q3(b,b) ),
inference(instantiation,[status(thm)],[c_1076]) ).
tcf(c_1264,plain,
( n4(b,b)
| ~ iPr_def_31
| ~ m3(b,b,b) ),
inference(instantiation,[status(thm)],[c_1091]) ).
tcf(c_1294,plain,
( p2(e,e,e)
| ~ p1(e,e,e) ),
inference(instantiation,[status(thm)],[c_994]) ).
tcf(c_1315,plain,
( k1(a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1351,plain,
( p2(a,a,a)
| ~ q1(a,a,a) ),
inference(instantiation,[status(thm)],[c_593]) ).
tcf(c_1364,plain,
( m3(e,e,e)
| ~ n2(e) ),
inference(instantiation,[status(thm)],[c_686]) ).
tcf(c_1375,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1028]) ).
tcf(c_1376,plain,
( r1(b)
| ~ q0(b,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1375]) ).
tcf(c_1417,plain,
! [X0: $i] :
( m1(X0,a,X0)
| ~ l0(a)
| ~ r0(X0) ),
inference(instantiation,[status(thm)],[c_490]) ).
tcf(c_1418,plain,
( m1(b,a,b)
| ~ l0(a)
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1417]) ).
tcf(c_1429,plain,
! [X0: $i] :
( p1(X0,X0,e)
| ~ k0(e)
| ~ n0(d,X0) ),
inference(instantiation,[status(thm)],[c_517]) ).
tcf(c_1430,plain,
( p1(b,b,e)
| ~ k0(e)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_1429]) ).
tcf(c_1465,plain,
( q1(a,a,a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_553]) ).
tcf(c_1475,plain,
! [X0: $i] :
( k2(a,a)
| ~ q1(X0,a,a) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_1598,plain,
! [X0: $i,X1: $i] :
( q1(X1,b,X1)
| ~ n0(e,b)
| ~ p0(X0,X1) ),
inference(instantiation,[status(thm)],[c_545]) ).
tcf(c_1620,plain,
! [X0: $i] :
( q3(b,X0)
| ~ n0(e,b)
| ~ q2(e,b,X0) ),
inference(instantiation,[status(thm)],[c_705]) ).
tcf(c_1621,plain,
( q3(b,b)
| ~ n0(e,b)
| ~ q2(e,b,b) ),
inference(instantiation,[status(thm)],[c_1620]) ).
tcf(c_1626,plain,
! [X0: $i] :
( q3(e,X0)
| ~ n0(e,e)
| ~ q2(e,e,X0) ),
inference(instantiation,[status(thm)],[c_705]) ).
tcf(c_1627,plain,
( q3(e,b)
| ~ n0(e,e)
| ~ q2(e,e,b) ),
inference(instantiation,[status(thm)],[c_1626]) ).
tcf(c_1640,plain,
( l1(b,e)
| ~ iPr_def_107
| ~ p0(c,b)
| ~ m0(e,b,c) ),
inference(instantiation,[status(thm)],[c_1211]) ).
tcf(c_1819,plain,
p0(b,a),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_1836,plain,
( q2(e,e,b)
| ~ l1(b,e) ),
inference(instantiation,[status(thm)],[c_638]) ).
tcf(c_1837,plain,
( k2(a,a)
| ~ q1(a,a,a) ),
inference(instantiation,[status(thm)],[c_1475]) ).
tcf(c_1858,plain,
( q2(e,b,b)
| ~ k0(b)
| ~ p1(e,e,e) ),
inference(instantiation,[status(thm)],[c_629]) ).
tcf(c_1983,plain,
! [X0: $i] :
( q1(d,b,d)
| ~ n0(e,b)
| ~ p0(X0,d) ),
inference(instantiation,[status(thm)],[c_1598]) ).
tcf(c_1985,plain,
( q1(d,b,d)
| ~ p0(b,d)
| ~ n0(e,b) ),
inference(instantiation,[status(thm)],[c_1983]) ).
tcf(c_2222,plain,
( r2(a)
| ~ r1(a)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_640]) ).
tcf(c_2493,plain,
! [X0: $i] :
( r1(a)
| ~ q0(a,X0)
| ~ q1(d,X0,d) ),
inference(instantiation,[status(thm)],[c_1028]) ).
tcf(c_2494,plain,
( r1(a)
| ~ q0(a,b)
| ~ q1(d,b,d) ),
inference(instantiation,[status(thm)],[c_2493]) ).
tcf(c_2526,plain,
! [X0: $i,X1: $i] :
( n3(e)
| ~ p2(X0,X1,e) ),
inference(instantiation,[status(thm)],[c_690]) ).
tcf(c_2568,plain,
! [X0: $i,X1: $i] :
( n3(a)
| ~ p2(X0,X1,a) ),
inference(instantiation,[status(thm)],[c_690]) ).
tcf(c_2617,plain,
! [X0: $i,X1: $i] :
( p3(X1,a,X0)
| ~ r2(a)
| ~ k3(a,X0,X1) ),
inference(instantiation,[status(thm)],[c_692]) ).
tcf(c_2743,plain,
! [X0: $i,X1: $i,X2: $i] :
( k2(X1,a)
| ~ k1(X2)
| ~ k2(X2,a)
| ~ m1(X0,a,X1) ),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_3162,plain,
( n3(e)
| ~ p2(e,e,e) ),
inference(instantiation,[status(thm)],[c_2526]) ).
tcf(c_3379,plain,
( n3(a)
| ~ p2(a,a,a) ),
inference(instantiation,[status(thm)],[c_2568]) ).
tcf(c_3526,plain,
! [X0: $i] :
( p3(X0,a,a)
| ~ r2(a)
| ~ k3(a,a,X0) ),
inference(instantiation,[status(thm)],[c_2617]) ).
tcf(c_3527,plain,
! [X0: $i] :
( k3(a,a,X0)
| ~ k2(X0,a) ),
inference(instantiation,[status(thm)],[c_646]) ).
tcf(c_3528,plain,
( p3(b,a,a)
| ~ r2(a)
| ~ k3(a,a,b) ),
inference(instantiation,[status(thm)],[c_3526]) ).
tcf(c_3529,plain,
( k3(a,a,b)
| ~ k2(b,a) ),
inference(instantiation,[status(thm)],[c_3527]) ).
tcf(c_3610,plain,
! [X0: $i,X1: $i] :
( k2(X1,a)
| ~ k1(a)
| ~ k2(a,a)
| ~ m1(X0,a,X1) ),
inference(instantiation,[status(thm)],[c_2743]) ).
tcf(c_3611,plain,
( k2(b,a)
| ~ k1(a)
| ~ k2(a,a)
| ~ m1(b,a,b) ),
inference(instantiation,[status(thm)],[c_3610]) ).
tcf(c_3920,plain,
( ~ iPr_def_30
| ~ k4(c) ),
inference(instantiation,[status(thm)],[c_1090]) ).
tcf(c_4160,plain,
! [X0: $i,X1: $i,X2: $i] :
( n5(e,a)
| ~ n4(e,X2)
| ~ n5(X0,a)
| ~ q4(X1,X2)
| ~ p4(X0,X0,a) ),
inference(instantiation,[status(thm)],[c_751]) ).
tcf(c_4560,plain,
! [X0: $i] :
( n4(e,X0)
| ~ n4(e,e)
| ~ p3(e,X0,X0) ),
inference(instantiation,[status(thm)],[c_729]) ).
tcf(c_4561,plain,
( n4(e,b)
| ~ n4(e,e)
| ~ p3(e,b,b) ),
inference(instantiation,[status(thm)],[c_4560]) ).
tcf(c_4602,plain,
( n4(e,e)
| ~ iPr_def_31
| ~ m3(e,e,e) ),
inference(instantiation,[status(thm)],[c_1091]) ).
tcf(c_4925,plain,
! [X0: $i,X1: $i,X2: $i] :
( p3(e,X0,X0)
| ~ p2(e,X0,X2)
| ~ m3(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_701]) ).
tcf(c_4926,plain,
( p3(e,b,b)
| ~ m3(b,b,b)
| ~ p2(e,b,b) ),
inference(instantiation,[status(thm)],[c_4925]) ).
tcf(c_5124,plain,
! [X0: $i,X1: $i] :
( n5(e,a)
| ~ n5(a,a)
| ~ n4(e,X1)
| ~ q4(X0,X1)
| ~ p4(a,a,a) ),
inference(instantiation,[status(thm)],[c_4160]) ).
tcf(c_5126,plain,
( n5(a,a)
| ~ r4(a) ),
inference(instantiation,[status(thm)],[c_758]) ).
tcf(c_5127,plain,
( n5(e,a)
| ~ q4(b,b)
| ~ n4(e,b)
| ~ n5(a,a)
| ~ p4(a,a,a) ),
inference(instantiation,[status(thm)],[c_5124]) ).
tcf(c_5222,plain,
! [X0: $i] :
( r4(a)
| ~ iPr_def_22
| ~ n3(a)
| ~ p0(X0,a) ),
inference(instantiation,[status(thm)],[c_1077]) ).
tcf(c_5223,plain,
( r4(a)
| ~ iPr_def_22
| ~ n3(a)
| ~ p0(b,a) ),
inference(instantiation,[status(thm)],[c_5222]) ).
tcf(c_5250,plain,
! [X0: $i] :
( n4(X0,a)
| ~ n4(X0,X0)
| ~ p3(X0,a,a) ),
inference(instantiation,[status(thm)],[c_729]) ).
tcf(c_5251,plain,
( n4(b,a)
| ~ n4(b,b)
| ~ p3(b,a,a) ),
inference(instantiation,[status(thm)],[c_5250]) ).
tcf(c_5337,plain,
! [X0: $i,X1: $i] :
( p4(a,a,a)
| ~ n4(X1,a)
| ~ q3(X0,X1)
| ~ l3(X0,X0) ),
inference(instantiation,[status(thm)],[c_741]) ).
tcf(c_5340,plain,
( p4(a,a,a)
| ~ n4(b,a)
| ~ q3(b,b)
| ~ l3(b,b) ),
inference(instantiation,[status(thm)],[c_5337]) ).
tcf(c_5341,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5340,c_5251,c_5223,c_5126,c_5127,c_4926,c_4602,c_4561,c_3920,c_3611,c_3529,c_3528,c_3379,c_3162,c_2494,c_2222,c_1985,c_1858,c_1837,c_1836,c_1819,c_1640,c_1627,c_1621,c_1465,c_1430,c_1418,c_1376,c_1364,c_1351,c_1315,c_1294,c_1264,c_1225,c_1222,c_1212,c_1092,c_1078,c_1015,c_1010,c_996,c_914,c_846,c_543,c_570,c_820,c_819,c_792,c_790,c_788,c_786,c_784,c_444,c_768,c_424,c_427,c_428,c_769,c_435,c_447,c_453,c_454,c_418,c_422,c_426,c_430,c_437,c_445,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN163-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 00:21:58 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running EPR theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 2.67/1.14 % SZS status Started for theBenchmark.p
% 2.67/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.67/1.14
% 2.67/1.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.67/1.14
% 2.67/1.14 % ------ iProver source info
% 2.67/1.14
% 2.67/1.14 % git: date: 2026-07-19 20:42:38 +0200
% 2.67/1.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.67/1.14 % git: non_committed_changes: false
% 2.67/1.14
% 2.67/1.14 % ------ Parsing...% successful
% 2.67/1.14
% 2.67/1.14
% 2.67/1.14 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.67/1.14 %
% 2.67/1.14
% 2.67/1.14 % ------ Preprocessing... sf_s rm: 21 0s sf_e sf_s rm: 0 0s sf_e %
% 2.67/1.14
% 2.67/1.14 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.67/1.14 gs_s sp: 112 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.67/1.14 % ------ Proving...
% 2.67/1.14 % ------ Problem Properties
% 2.67/1.14
% 2.67/1.14 %
% 2.67/1.14 % clauses 408
% 2.67/1.14 % conjectures 1
% 2.67/1.14 % EPR 408
% 2.67/1.14 % Horn 353
% 2.67/1.14 % unary 52
% 2.67/1.14 % binary 165
% 2.67/1.14 % lits 1025
% 2.67/1.14 % lits eq 0
% 2.67/1.14 % fd_pure 0
% 2.67/1.14 % fd_pseudo 0
% 2.67/1.14 % fd_cond 0
% 2.67/1.14 % fd_pseudo_cond 0
% 2.67/1.14 % AC symbols 0
% 2.67/1.14
% 2.67/1.14 % ------ Schedule EPR non Horn non eq is on
% 2.67/1.14
% 2.67/1.14 % ------ no equalities: superposition off
% 2.67/1.14
% 2.67/1.14 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.67/1.14
% 2.67/1.14
% 2.67/1.14 % ------
% 2.67/1.14 % Current options:
% 2.67/1.14 % ------
% 2.67/1.14
% 2.67/1.14
% 2.67/1.14 %
% 2.67/1.14
% 2.67/1.14 % ------ Proving...
% 2.67/1.14 %
% 2.67/1.14
% 2.67/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.67/1.14
% 2.67/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.67/1.15
% 2.67/1.15
%------------------------------------------------------------------------------