%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN156-1 : 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 : n007.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 03:39:19 PM UTC 2026
% Result : Unsatisfiable 2.32s 1.12s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 41
% Syntax : Number of formulae : 138 ( 36 unt; 0 def)
% Number of atoms : 317 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 365 ( 186 ~; 179 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 36 ( 35 usr; 10 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 128 ( 0 sgn 128 !; 0 ?; 78 :)
% 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(f6,axiom,
q0(b,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_6) ).
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(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(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(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
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(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(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
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(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(f193,axiom,
! [X2,X0,X1] :
( ~ p2(e,X0,X1)
| ~ k1(X2)
| p2(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_155) ).
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(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(f227,axiom,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f265,axiom,
! [X2,X3,X0,X1] :
( ~ r2(X0)
| ~ s2(X2)
| ~ s0(X3)
| ~ q0(X1,X2)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_227) ).
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(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(f369,negated_conjecture,
~ n4(a,e),
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_423,plain,
q0(b,b),
inference(cnf_transformation,[],[f6]) ).
tcf(c_424,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_426,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
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_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_476,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f59]) ).
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_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_578,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i] :
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( p2(e,X0,X1)
| ~ r0(e)
| ~ p1(X0,X1,e) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_607,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X0,X1,X1)
| ~ k1(X2)
| ~ p2(e,X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i] :
( p2(X1,X0,X1)
| ~ m1(X0,X1,X0) ),
inference(cnf_transformation,[],[f214]) ).
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_641,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m3(X3,X3,X3)
| ~ s2(X1)
| ~ r2(X3)
| ~ s0(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f265]) ).
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_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_768,negated_conjecture,
~ n4(a,e),
inference(cnf_transformation,[],[f369]) ).
tcf(c_769,plain,
q0(b,d),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_775,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_790,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_819,plain,
( q2(b,b,b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_633]) ).
tcf(c_833,plain,
( s2(b)
| ~ s1(b)
| ~ q2(b,b,b) ),
inference(instantiation,[status(thm)],[c_641]) ).
tcf(c_888,plain,
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_592]) ).
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_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_1067,plain,
! [X0: $i] :
( ~ iPr_def_15
| ~ k4(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_732]) ).
tcf(c_1068,plain,
! [X0: $i] :
( ~ iPr_def_16
| n4(X0,X0)
| ~ m3(X0,X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_732]) ).
tcf(c_1069,plain,
( iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_732]) ).
tcf(c_1087,plain,
! [X0: $i] :
( ~ iPr_def_28
| ~ r2(X0)
| m3(X0,X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_677]) ).
tcf(c_1088,plain,
! [X0: $i] :
( ~ iPr_def_29
| ~ s0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_677]) ).
tcf(c_1089,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_30
| ~ s2(X1)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_677]) ).
tcf(c_1090,plain,
( iPr_def_30
| iPr_def_29
| iPr_def_28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_677]) ).
tcf(c_1131,plain,
! [X0: $i] :
( ~ iPr_def_57
| ~ k1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_57])],[c_607]) ).
tcf(c_1132,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_58
| ~ p2(e,X0,X1)
| p2(X0,X1,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_58])],[c_607]) ).
tcf(c_1133,plain,
( iPr_def_58
| iPr_def_57 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_607]) ).
tcf(c_1147,plain,
! [X0: $i] :
( ~ iPr_def_67
| ~ r0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_67])],[c_566]) ).
tcf(c_1188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_92
| ~ p0(X2,X1)
| l1(X1,X0)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_92])],[c_458]) ).
tcf(c_1189,plain,
( iPr_def_92
| iPr_def_67 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).
tcf(c_1194,plain,
( ~ iPr_def_29
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_1088]) ).
tcf(c_1197,plain,
( ~ iPr_def_57
| ~ k1(b) ),
inference(instantiation,[status(thm)],[c_1131]) ).
tcf(c_1198,plain,
( ~ iPr_def_67
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1147]) ).
tcf(c_1220,plain,
( ~ iPr_def_30
| ~ s2(b)
| ~ q0(b,b) ),
inference(instantiation,[status(thm)],[c_1089]) ).
tcf(c_1258,plain,
( p2(e,e,e)
| ~ p1(e,e,e) ),
inference(instantiation,[status(thm)],[c_994]) ).
tcf(c_1273,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1328,plain,
( m3(e,e,e)
| ~ n2(e) ),
inference(instantiation,[status(thm)],[c_686]) ).
tcf(c_1339,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1028]) ).
tcf(c_1340,plain,
( r1(b)
| ~ q0(b,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1339]) ).
tcf(c_1378,plain,
! [X0: $i] :
( m1(a,X0,a)
| ~ l0(a)
| ~ k0(X0) ),
inference(instantiation,[status(thm)],[c_476]) ).
tcf(c_1504,plain,
! [X0: $i] :
( p2(e,X0,e)
| ~ m1(X0,e,X0) ),
inference(instantiation,[status(thm)],[c_628]) ).
tcf(c_1587,plain,
! [X0: $i] :
( q3(e,X0)
| ~ n0(e,e)
| ~ q2(e,e,X0) ),
inference(instantiation,[status(thm)],[c_705]) ).
tcf(c_1588,plain,
( q3(e,b)
| ~ n0(e,e)
| ~ q2(e,e,b) ),
inference(instantiation,[status(thm)],[c_1587]) ).
tcf(c_1605,plain,
( l1(b,e)
| ~ iPr_def_92
| ~ p0(c,b)
| ~ m0(e,b,c) ),
inference(instantiation,[status(thm)],[c_1188]) ).
tcf(c_1745,plain,
( q2(e,e,b)
| ~ l1(b,e) ),
inference(instantiation,[status(thm)],[c_638]) ).
tcf(c_1825,plain,
( p2(e,a,e)
| ~ m1(a,e,a) ),
inference(instantiation,[status(thm)],[c_1504]) ).
tcf(c_1826,plain,
( m1(a,e,a)
| ~ k0(e)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_1378]) ).
tcf(c_1970,plain,
! [X0: $i] :
( p2(X0,e,e)
| ~ iPr_def_58
| ~ p2(e,X0,e) ),
inference(instantiation,[status(thm)],[c_1132]) ).
tcf(c_2092,plain,
( r2(a)
| ~ r1(a)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_640]) ).
tcf(c_2335,plain,
! [X0: $i,X1: $i] :
( n3(e)
| ~ p2(X0,X1,e) ),
inference(instantiation,[status(thm)],[c_690]) ).
tcf(c_2366,plain,
q0(a,d),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_2383,plain,
( r1(a)
| ~ q0(a,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1339]) ).
tcf(c_2428,plain,
( m3(a,a,a)
| ~ iPr_def_28
| ~ r2(a) ),
inference(instantiation,[status(thm)],[c_1087]) ).
tcf(c_2837,plain,
( n3(e)
| ~ p2(e,e,e) ),
inference(instantiation,[status(thm)],[c_2335]) ).
tcf(c_3401,plain,
( ~ iPr_def_15
| ~ k4(c) ),
inference(instantiation,[status(thm)],[c_1067]) ).
tcf(c_3430,plain,
( p2(a,e,e)
| ~ iPr_def_58
| ~ p2(e,a,e) ),
inference(instantiation,[status(thm)],[c_1970]) ).
tcf(c_3534,plain,
( n4(a,e)
| ~ n4(a,a)
| ~ p3(a,e,e) ),
inference(instantiation,[status(thm)],[c_729]) ).
tcf(c_4048,plain,
( n4(a,a)
| ~ iPr_def_16
| ~ m3(a,a,a) ),
inference(instantiation,[status(thm)],[c_1068]) ).
tcf(c_4266,plain,
! [X0: $i,X1: $i] :
( p3(a,e,e)
| ~ p2(a,e,X1)
| ~ m3(e,X0,X1) ),
inference(instantiation,[status(thm)],[c_701]) ).
tcf(c_4636,plain,
( p3(a,e,e)
| ~ m3(e,e,e)
| ~ p2(a,e,e) ),
inference(instantiation,[status(thm)],[c_4266]) ).
tcf(c_4641,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4636,c_4048,c_3534,c_3430,c_3401,c_2837,c_2428,c_2383,c_2366,c_2092,c_1826,c_1825,c_1745,c_1605,c_1588,c_1340,c_1328,c_1273,c_1258,c_1220,c_1198,c_1197,c_1194,c_1090,c_1189,c_1133,c_1069,c_1015,c_1010,c_543,c_570,c_833,c_819,c_790,c_775,c_444,c_768,c_423,c_424,c_770,c_769,c_435,c_447,c_418,c_422,c_426,c_430,c_437,c_445,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN156-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:18:38 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.39 Running EPR theorem proving
% 0.09/0.39 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
% 0.09/0.40
% 0.09/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.40
% 0.09/0.40 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 2.32/1.12 % SZS status Started for theBenchmark.p
% 2.32/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 2.32/1.12
% 2.32/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.32/1.12
% 2.32/1.12 % ------ iProver source info
% 2.32/1.12
% 2.32/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 2.32/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.32/1.12 % git: non_committed_changes: false
% 2.32/1.12
% 2.32/1.12 % ------ Parsing...% successful
% 2.32/1.12
% 2.32/1.12
% 2.32/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.32/1.12 %
% 2.32/1.12
% 2.32/1.12 % ------ Preprocessing... sf_s rm: 52 0s sf_e sf_s rm: 0 0s sf_e %
% 2.32/1.12
% 2.32/1.12 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.32/1.12 gs_s sp: 96 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.32/1.12 % ------ Proving...
% 2.32/1.12 % ------ Problem Properties
% 2.32/1.12
% 2.32/1.12 %
% 2.32/1.12 % clauses 362
% 2.32/1.12 % conjectures 1
% 2.32/1.12 % EPR 362
% 2.32/1.12 % Horn 315
% 2.32/1.12 % unary 51
% 2.32/1.12 % binary 145
% 2.32/1.12 % lits 900
% 2.32/1.12 % lits eq 0
% 2.32/1.12 % fd_pure 0
% 2.32/1.12 % fd_pseudo 0
% 2.32/1.12 % fd_cond 0
% 2.32/1.12 % fd_pseudo_cond 0
% 2.32/1.12 % AC symbols 0
% 2.32/1.12
% 2.32/1.12 % ------ Schedule EPR non Horn non eq is on
% 2.32/1.12
% 2.32/1.12 % ------ no equalities: superposition off
% 2.32/1.12
% 2.32/1.12 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.32/1.12
% 2.32/1.12
% 2.32/1.12 % ------
% 2.32/1.12 % Current options:
% 2.32/1.12 % ------
% 2.32/1.12
% 2.32/1.12
% 2.32/1.12 %
% 2.32/1.12
% 2.32/1.12 % ------ Proving...
% 2.32/1.12 %
% 2.32/1.12
% 2.32/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 2.32/1.12
% 2.32/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.32/1.12
% 2.32/1.12
%------------------------------------------------------------------------------