%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN143-1 : 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 : n020.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 03:39:17 PM UTC 2026
% Result : Unsatisfiable 3.05s 1.17s
% Output : CNFRefutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 34
% Syntax : Number of formulae : 115 ( 29 unt; 0 def)
% Number of atoms : 285 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 345 ( 175 ~; 170 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 32 ( 31 usr; 7 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 138 ( 0 sgn 138 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f8,axiom,
m0(e,d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_8) ).
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(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
fof(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_31) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
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(f88,axiom,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_050) ).
fof(f92,axiom,
! [X2,X0,X1] :
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_054) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).
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(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f169,axiom,
! [X0,X1] :
( ~ l2(X1,X1)
| ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_131) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
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(f220,axiom,
! [X2,X0,X1] :
( ~ q2(X1,X2,X0)
| ~ n1(X1,X0,X2)
| ~ p1(X0,X0,X2)
| q2(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_182) ).
fof(f227,axiom,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f296,axiom,
! [X2,X0,X1] :
( ~ l2(X2,X2)
| ~ s1(X1)
| ~ r2(X0)
| q3(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_258) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f317,axiom,
! [X2,X0,X1] :
( ~ s3(a,X0)
| ~ l2(X2,X1)
| m4(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_279) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f343,axiom,
! [X0] :
( ~ m4(e,e)
| ~ s4(X0)
| m5(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_305) ).
fof(f369,negated_conjecture,
~ m5(d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ m5(d,d),
inference(cnf_transformation,[],[f369]) ).
tcf(c_429,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_433,plain,
p0(b,d),
inference(cnf_transformation,[],[f10]) ).
tcf(c_434,plain,
m0(e,d,e),
inference(cnf_transformation,[],[f8]) ).
tcf(c_438,plain,
! [X0: $i] :
( m5(X0,X0)
| ~ s4(X0)
| ~ m4(e,e) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_449,plain,
m0(b,b,e),
inference(cnf_transformation,[],[f31]) ).
tcf(c_462,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_463,plain,
! [X0: $i,X1: $i,X2: $i] :
( q2(X1,X0,X1)
| ~ q2(X0,X2,X1)
| ~ p1(X1,X1,X2)
| ~ n1(X0,X1,X2) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_465,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_473,plain,
( p1(a,a,a)
| ~ l0(a) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_489,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_526,plain,
! [X0: $i,X1: $i,X2: $i] :
( n1(X0,X1,X1)
| ~ l0(X2)
| ~ l1(X2,X0)
| ~ n1(X0,X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_528,plain,
! [X0: $i,X1: $i] :
( n1(X1,X0,X1)
| ~ s0(b)
| ~ l0(X1)
| ~ p0(b,X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_545,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_547,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_562,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_569,plain,
! [X0: $i,X1: $i,X2: $i] :
( q1(X0,X0,X1)
| ~ r0(X2)
| ~ m1(X0,X1,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_607,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s4(X3)
| ~ l1(X3,X1)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i,X2: $i] :
( m4(X2,X1)
| ~ s3(a,X2)
| ~ l2(X0,X1) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_643,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_649,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_664,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i] :
( l2(X1,X0)
| ~ s1(X1)
| ~ n0(e,X0)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_669,plain,
n0(e,e),
inference(cnf_transformation,[],[f30]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l2(X2,X2)
| ~ s1(X1)
| ~ p0(X3,X3)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_710,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_711,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X2,X2)
| ~ r2(X2)
| ~ s1(X1)
| ~ l2(X0,X0) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_714,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s3(X3,X2)
| ~ s2(X3)
| ~ q2(X0,X3,X0)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_758,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_773,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_776,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_779,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_714]) ).
tcf(c_783,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_758]) ).
tcf(c_790,plain,
( p3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_710]) ).
tcf(c_799,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_489]) ).
tcf(c_975,plain,
! [X0: $i] :
( s2(X0)
| ~ q2(b,X0,b) ),
inference(global_subsumption_just,[status(thm)],[c_643,c_773,c_779,c_643]) ).
tcf(c_1042,plain,
! [X0: $i,X1: $i] :
( n1(X1,X0,X1)
| ~ l0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_528,c_664,c_462,c_528]) ).
tcf(c_1043,plain,
! [X0: $i,X1: $i] :
( n1(X0,X1,X0)
| ~ l0(X0) ),
inference(renaming,[status(thm)],[c_1042]) ).
tcf(c_1103,plain,
! [X0: $i] :
( ~ iPr_def_32
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_711]) ).
tcf(c_1164,plain,
! [X0: $i] :
( ~ iPr_def_72
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_72])],[c_690]) ).
tcf(c_1165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_73
| ~ s1(X1)
| l2(X2,X2)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_73])],[c_690]) ).
tcf(c_1166,plain,
( iPr_def_73
| iPr_def_72 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).
tcf(c_1167,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_74
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_74])],[c_611]) ).
tcf(c_1168,plain,
( iPr_def_74
| iPr_def_32 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).
tcf(c_1169,plain,
! [X0: $i] :
( ~ iPr_def_75
| ~ r0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_75])],[c_569]) ).
tcf(c_1210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_100
| ~ p0(X2,X1)
| l1(X1,X0)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_100])],[c_562]) ).
tcf(c_1211,plain,
( iPr_def_100
| iPr_def_75 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_562]) ).
tcf(c_1217,plain,
( ~ iPr_def_32
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1103]) ).
tcf(c_1221,plain,
( ~ iPr_def_75
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1169]) ).
tcf(c_1229,plain,
( ~ iPr_def_72
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1164]) ).
tcf(c_1326,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_74
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1167]) ).
tcf(c_1327,plain,
( s1(d)
| ~ iPr_def_74
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1326]) ).
tcf(c_1347,plain,
( l1(a,a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_655]) ).
tcf(c_1357,plain,
! [X0: $i] :
( n1(a,X0,a)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_1043]) ).
tcf(c_1358,plain,
( n1(a,b,a)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_1357]) ).
tcf(c_1504,plain,
( l2(e,e)
| ~ iPr_def_73
| ~ s1(d)
| ~ m0(e,d,e) ),
inference(instantiation,[status(thm)],[c_1165]) ).
tcf(c_1591,plain,
! [X0: $i,X1: $i] :
( l1(d,X0)
| ~ iPr_def_100
| ~ p0(X1,d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1210]) ).
tcf(c_1592,plain,
( l1(d,b)
| ~ iPr_def_100
| ~ p0(b,d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1591]) ).
tcf(c_1679,plain,
! [X0: $i] :
( s3(X0,e)
| ~ s2(X0)
| ~ m0(b,b,e)
| ~ q2(b,X0,b) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_2032,plain,
( q2(a,b,b)
| ~ k0(b)
| ~ p1(a,a,a) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_2045,plain,
! [X0: $i] :
( q2(b,a,b)
| ~ q2(a,X0,b)
| ~ p1(b,b,X0)
| ~ n1(a,b,X0) ),
inference(instantiation,[status(thm)],[c_463]) ).
tcf(c_2046,plain,
( q2(b,a,b)
| ~ q2(a,b,b)
| ~ p1(b,b,b)
| ~ n1(a,b,b) ),
inference(instantiation,[status(thm)],[c_2045]) ).
tcf(c_2150,plain,
! [X0: $i,X1: $i] :
( m4(e,X1)
| ~ s3(a,e)
| ~ l2(X0,X1) ),
inference(instantiation,[status(thm)],[c_619]) ).
tcf(c_2151,plain,
( s3(a,e)
| ~ s2(a)
| ~ q2(b,a,b)
| ~ m0(b,b,e) ),
inference(instantiation,[status(thm)],[c_1679]) ).
tcf(c_2289,plain,
! [X0: $i,X1: $i] :
( n1(X0,X1,X1)
| ~ l0(a)
| ~ l1(a,X0)
| ~ n1(X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_526]) ).
tcf(c_2392,plain,
( s2(a)
| ~ q2(b,a,b) ),
inference(instantiation,[status(thm)],[c_975]) ).
tcf(c_2848,plain,
! [X0: $i] :
( n1(a,X0,X0)
| ~ l0(a)
| ~ l1(a,a)
| ~ n1(a,X0,a) ),
inference(instantiation,[status(thm)],[c_2289]) ).
tcf(c_2850,plain,
( n1(a,b,b)
| ~ l0(a)
| ~ l1(a,a)
| ~ n1(a,b,a) ),
inference(instantiation,[status(thm)],[c_2848]) ).
tcf(c_3384,plain,
! [X0: $i] :
( m4(e,e)
| ~ s3(a,e)
| ~ l2(X0,e) ),
inference(instantiation,[status(thm)],[c_2150]) ).
tcf(c_3385,plain,
( m4(e,e)
| ~ s3(a,e)
| ~ l2(b,e) ),
inference(instantiation,[status(thm)],[c_3384]) ).
tcf(c_3883,plain,
! [X0: $i] :
( l2(X0,e)
| ~ s1(X0)
| ~ l2(e,e)
| ~ n0(e,e) ),
inference(instantiation,[status(thm)],[c_668]) ).
tcf(c_3884,plain,
( l2(b,e)
| ~ s1(b)
| ~ l2(e,e)
| ~ n0(e,e) ),
inference(instantiation,[status(thm)],[c_3883]) ).
tcf(c_4187,plain,
( m5(d,d)
| ~ s4(d)
| ~ m4(e,e) ),
inference(instantiation,[status(thm)],[c_438]) ).
tcf(c_4468,plain,
! [X0: $i,X1: $i,X2: $i] :
( s4(d)
| ~ l1(d,X1)
| ~ p3(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_616]) ).
tcf(c_4469,plain,
( s4(d)
| ~ l1(d,b)
| ~ p3(b,b,b) ),
inference(instantiation,[status(thm)],[c_4468]) ).
tcf(c_4470,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4469,c_4187,c_3884,c_3385,c_2850,c_2392,c_2151,c_2046,c_2032,c_1592,c_1504,c_1358,c_1347,c_1327,c_1229,c_1221,c_1217,c_1211,c_1168,c_1166,c_473,c_799,c_790,c_783,c_779,c_776,c_434,c_449,c_418,c_429,c_433,c_773,c_545,c_669,c_547,c_607,c_649]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN143-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 00:19:18 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running EPR theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 3.05/1.17 % SZS status Started for theBenchmark.p
% 3.05/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.05/1.17
% 3.05/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.05/1.17
% 3.05/1.17 % ------ iProver source info
% 3.05/1.17
% 3.05/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 3.05/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.05/1.17 % git: non_committed_changes: false
% 3.05/1.17
% 3.05/1.17 % ------ Parsing...% successful
% 3.05/1.17
% 3.05/1.17
% 3.05/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.05/1.17 %
% 3.05/1.17
% 3.05/1.17 % ------ Preprocessing... sf_s rm: 37 0s sf_e sf_s rm: 0 0s sf_e %
% 3.05/1.17
% 3.05/1.17 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.05/1.17 gs_s sp: 104 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.05/1.17 % ------ Proving...
% 3.05/1.17 % ------ Problem Properties
% 3.05/1.17
% 3.05/1.17 %
% 3.05/1.17 % clauses 389
% 3.05/1.17 % conjectures 1
% 3.05/1.17 % EPR 389
% 3.05/1.17 % Horn 338
% 3.05/1.17 % unary 51
% 3.05/1.17 % binary 157
% 3.05/1.17 % lits 973
% 3.05/1.17 % lits eq 0
% 3.05/1.17 % fd_pure 0
% 3.05/1.17 % fd_pseudo 0
% 3.05/1.17 % fd_cond 0
% 3.05/1.17 % fd_pseudo_cond 0
% 3.05/1.17 % AC symbols 0
% 3.05/1.17
% 3.05/1.17 % ------ Schedule EPR non Horn non eq is on
% 3.05/1.17
% 3.05/1.17 % ------ no equalities: superposition off
% 3.05/1.17
% 3.05/1.17 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.05/1.17
% 3.05/1.17
% 3.05/1.17 % ------
% 3.05/1.17 % Current options:
% 3.05/1.17 % ------
% 3.05/1.17
% 3.05/1.17
% 3.05/1.17 %
% 3.05/1.17
% 3.05/1.17 % ------ Proving...
% 3.05/1.17 %
% 3.05/1.17
% 3.05/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.05/1.17
% 3.05/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.05/1.18
% 3.05/1.18
%------------------------------------------------------------------------------