%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 : Sun Sep 27 09:37:11 AM UTC 2026
% Result : Unsatisfiable 0.80s 0.54s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 45
% Syntax : Number of formulae : 154 ( 58 unt; 0 def)
% Number of atoms : 325 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 357 ( 186 ~; 171 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 248 ( 74 sgn 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rule_001,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| k1(VAR_0) ),
file('theBenchmark.p',rule_001) ).
cnf(c_1,plain,
( ~ n0(B,A)
| k1(A) ),
inference(clausify,[status(thm)],[rule_001]) ).
fof(axiom_34,axiom,
n0(c,d),
file('theBenchmark.p',axiom_34) ).
cnf(c_3,plain,
n0(c,d),
inference(clausify,[status(thm)],[axiom_34]) ).
fof(axiom_30,axiom,
n0(e,e),
file('theBenchmark.p',axiom_30) ).
cnf(c_4,plain,
n0(e,e),
inference(clausify,[status(thm)],[axiom_30]) ).
fof(axiom_15,axiom,
n0(a,b),
file('theBenchmark.p',axiom_15) ).
cnf(c_6,plain,
n0(a,b),
inference(clausify,[status(thm)],[axiom_15]) ).
fof(axiom_3,axiom,
n0(d,e),
file('theBenchmark.p',axiom_3) ).
cnf(c_9,plain,
n0(d,e),
inference(clausify,[status(thm)],[axiom_3]) ).
fof(rule_066,axiom,
! [VAR_0,VAR_1] :
( ~ n0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_066) ).
cnf(c_17,plain,
( ~ n0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_066]) ).
fof(rule_255,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ n0(VAR_2,VAR_0)
| ~ q2(VAR_2,VAR_0,VAR_1)
| q3(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_255) ).
cnf(c_27,plain,
( ~ n0(C,A)
| ~ q2(C,A,B)
| q3(A,B) ),
inference(clausify,[status(thm)],[rule_255]) ).
fof(rule_274,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
file('theBenchmark.p',rule_274) ).
cnf(c_28,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(clausify,[status(thm)],[rule_274]) ).
fof(rule_124,axiom,
! [VAR_0,VAR_1] :
( ~ q1(d,VAR_1,d)
| ~ s0(d)
| ~ q0(VAR_0,VAR_1)
| r1(VAR_0) ),
file('theBenchmark.p',rule_124) ).
cnf(c_31,plain,
( ~ q1(d,B,d)
| ~ s0(d)
| ~ q0(A,B)
| r1(A) ),
inference(clausify,[status(thm)],[rule_124]) ).
fof(rule_296,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ q4(VAR_1,VAR_2)
| ~ l4(VAR_1)
| ~ r1(VAR_0)
| q4(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_296) ).
cnf(c_42,plain,
( ~ q4(B,C)
| ~ l4(B)
| ~ r1(A)
| q4(A,A) ),
inference(clausify,[status(thm)],[rule_296]) ).
fof(rule_137,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p1(VAR_1,VAR_2,VAR_0)
| n2(VAR_0) ),
file('theBenchmark.p',rule_137) ).
cnf(c_46,plain,
( ~ p1(B,C,A)
| n2(A) ),
inference(clausify,[status(thm)],[rule_137]) ).
fof(rule_210,axiom,
! [VAR_0] :
( ~ n2(VAR_0)
| k3(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_210) ).
cnf(c_48,plain,
( ~ n2(A)
| k3(A,A,A) ),
inference(clausify,[status(thm)],[rule_210]) ).
fof(rule_244,axiom,
! [VAR_0] :
( ~ n2(VAR_0)
| p3(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_244) ).
cnf(c_56,plain,
( ~ n2(A)
| p3(A,A,A) ),
inference(clausify,[status(thm)],[rule_244]) ).
fof(rule_240,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_1,VAR_2,VAR_0)
| n3(VAR_0) ),
file('theBenchmark.p',rule_240) ).
cnf(c_91,plain,
( ~ p2(B,C,A)
| n3(A) ),
inference(clausify,[status(thm)],[rule_240]) ).
fof(rule_298,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p0(VAR_3,VAR_0)
| ~ q3(VAR_1,VAR_2)
| ~ n3(VAR_0)
| r4(VAR_0) ),
file('theBenchmark.p',rule_298) ).
cnf(c_96,plain,
( ~ p0(D,A)
| ~ q3(B,C)
| ~ n3(A)
| r4(A) ),
inference(clausify,[status(thm)],[rule_298]) ).
cnf(c_98,plain,
( ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(resolve,[status(thm)],[c_28,c_3]) ).
fof(rule_284,axiom,
! [VAR_0,VAR_1] :
( ~ m3(VAR_0,VAR_0,VAR_0)
| ~ k4(VAR_1)
| n4(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_284) ).
cnf(c_105,plain,
( ~ m3(A,A,A)
| ~ k4(B)
| n4(A,A) ),
inference(clausify,[status(thm)],[rule_284]) ).
cnf(c_112,plain,
( ~ q3(e,b)
| k4(c)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_91,c_98]) ).
fof(rule_314,axiom,
! [VAR_0] :
( ~ r4(VAR_0)
| n5(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_314) ).
cnf(c_113,plain,
( ~ r4(A)
| n5(A,A) ),
inference(clausify,[status(thm)],[rule_314]) ).
cnf(c_114,plain,
( ~ p0(F,C)
| ~ q3(D,E)
| r4(C)
| ~ p2(A,B,C) ),
inference(resolve,[status(thm)],[c_91,c_96]) ).
cnf(c_136,plain,
( ~ p0(F,A)
| ~ q3(D,E)
| ~ p2(B,C,A)
| n5(A,A) ),
inference(resolve,[status(thm)],[c_113,c_114]) ).
cnf(c_170,plain,
( ~ p1(B,C,A)
| p3(A,A,A) ),
inference(resolve,[status(thm)],[c_56,c_46]) ).
cnf(c_191,plain,
( ~ p1(B,C,A)
| k3(A,A,A) ),
inference(resolve,[status(thm)],[c_48,c_46]) ).
cnf(c_202,plain,
( ~ q2(d,e,A)
| q3(e,A) ),
inference(resolve,[status(thm)],[c_27,c_9]) ).
cnf(c_207,plain,
( ~ q2(e,e,A)
| q3(e,A) ),
inference(resolve,[status(thm)],[c_27,c_4]) ).
cnf(c_234,plain,
p1(b,b,b),
inference(resolve,[status(thm)],[c_17,c_6]) ).
cnf(c_236,plain,
p1(e,e,e),
inference(resolve,[status(thm)],[c_17,c_4]) ).
cnf(c_237,plain,
p1(d,d,d),
inference(resolve,[status(thm)],[c_17,c_3]) ).
cnf(c_262,plain,
k1(d),
inference(resolve,[status(thm)],[c_1,c_3]) ).
fof(prove_this,axiom,
~ n5(a,e),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ n5(a,e),
inference(clausify,[status(thm)],[prove_this]) ).
fof(rule_307,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ n5(VAR_4,VAR_1)
| ~ p4(VAR_4,VAR_4,VAR_1)
| ~ n4(VAR_0,VAR_3)
| ~ q4(VAR_2,VAR_3)
| n5(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_307) ).
cnf(c_274,plain,
( ~ n5(E,B)
| ~ p4(E,E,B)
| ~ n4(A,D)
| ~ q4(C,D)
| n5(A,B) ),
inference(clausify,[status(thm)],[rule_307]) ).
fof(rule_295,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ m3(VAR_3,VAR_4,VAR_3)
| ~ q2(VAR_3,VAR_1,VAR_0)
| ~ k3(VAR_2,VAR_2,VAR_0)
| q4(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_295) ).
cnf(c_276,plain,
( ~ m3(D,E,D)
| ~ q2(D,B,A)
| ~ k3(C,C,A)
| q4(A,B) ),
inference(clausify,[status(thm)],[rule_295]) ).
fof(rule_287,axiom,
! [VAR_0,VAR_1] :
( ~ k3(VAR_0,VAR_0,VAR_1)
| p4(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_287) ).
cnf(c_282,plain,
( ~ k3(A,A,B)
| p4(A,B,A) ),
inference(clausify,[status(thm)],[rule_287]) ).
fof(rule_278,axiom,
! [VAR_0,VAR_1] :
( ~ l4(VAR_1)
| ~ m0(VAR_1,VAR_0,VAR_0)
| l4(VAR_0) ),
file('theBenchmark.p',rule_278) ).
cnf(c_288,plain,
( ~ l4(B)
| ~ m0(B,A,A)
| l4(A) ),
inference(clausify,[status(thm)],[rule_278]) ).
fof(rule_277,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p3(VAR_1,VAR_2,VAR_0)
| l4(VAR_0) ),
file('theBenchmark.p',rule_277) ).
cnf(c_289,plain,
( ~ p3(B,C,A)
| l4(A) ),
inference(clausify,[status(thm)],[rule_277]) ).
fof(rule_238,axiom,
! [VAR_0] :
( ~ p2(VAR_0,VAR_0,VAR_0)
| m3(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_238) ).
cnf(c_308,plain,
( ~ p2(A,A,A)
| m3(A,A,A) ),
inference(clausify,[status(thm)],[rule_238]) ).
fof(rule_194,axiom,
! [VAR_0,VAR_1] :
( ~ k2(VAR_1,VAR_0)
| k3(VAR_0,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_194) ).
cnf(c_324,plain,
( ~ k2(B,A)
| k3(A,A,B) ),
inference(clausify,[status(thm)],[rule_194]) ).
fof(rule_186,axiom,
! [VAR_0,VAR_1] :
( ~ l1(VAR_1,VAR_0)
| q2(VAR_0,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_186) ).
cnf(c_325,plain,
( ~ l1(B,A)
| q2(A,A,B) ),
inference(clausify,[status(thm)],[rule_186]) ).
fof(rule_177,axiom,
! [VAR_0,VAR_1] :
( ~ p1(VAR_0,VAR_0,VAR_0)
| ~ k0(VAR_1)
| q2(VAR_0,VAR_1,VAR_1) ),
file('theBenchmark.p',rule_177) ).
cnf(c_334,plain,
( ~ p1(A,A,A)
| ~ k0(B)
| q2(A,B,B) ),
inference(clausify,[status(thm)],[rule_177]) ).
fof(rule_153,axiom,
! [VAR_0] :
( ~ n1(d,d,VAR_0)
| p2(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_153) ).
cnf(c_353,plain,
( ~ n1(d,d,A)
| p2(A,A,A) ),
inference(clausify,[status(thm)],[rule_153]) ).
fof(rule_129,axiom,
! [VAR_0,VAR_1] :
( ~ q1(VAR_1,VAR_0,VAR_0)
| k2(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_129) ).
cnf(c_373,plain,
( ~ q1(B,A,A)
| k2(A,A) ),
inference(clausify,[status(thm)],[rule_129]) ).
fof(rule_127,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ k2(VAR_3,VAR_1)
| ~ k1(VAR_3)
| ~ m1(VAR_2,VAR_1,VAR_0)
| k2(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_127) ).
cnf(c_375,plain,
( ~ k2(D,B)
| ~ k1(D)
| ~ m1(C,B,A)
| k2(A,B) ),
inference(clausify,[status(thm)],[rule_127]) ).
fof(rule_121,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ m0(VAR_1,VAR_2,VAR_0)
| q1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_121) ).
cnf(c_380,plain,
( ~ m0(B,C,A)
| q1(A,A,A) ),
inference(clausify,[status(thm)],[rule_121]) ).
fof(rule_107,axiom,
! [VAR_0] :
( ~ m0(e,d,VAR_0)
| ~ m0(VAR_0,d,VAR_0)
| q1(e,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_107) ).
cnf(c_390,plain,
( ~ m0(e,d,A)
| ~ m0(A,d,A)
| q1(e,A,A) ),
inference(clausify,[status(thm)],[rule_107]) ).
fof(rule_059,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ m0(VAR_1,VAR_2,VAR_0)
| ~ m0(VAR_2,VAR_3,VAR_3)
| n1(VAR_0,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_059) ).
cnf(c_424,plain,
( ~ m0(B,C,A)
| ~ m0(C,D,D)
| n1(A,A,B) ),
inference(clausify,[status(thm)],[rule_059]) ).
fof(rule_005,axiom,
! [VAR_0,VAR_1] :
( ~ m0(VAR_1,VAR_1,VAR_0)
| m1(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_005) ).
cnf(c_467,plain,
( ~ m0(B,B,A)
| m1(A,B,A) ),
inference(clausify,[status(thm)],[rule_005]) ).
fof(rule_003,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ m0(VAR_1,VAR_0,VAR_2)
| ~ r0(VAR_3)
| ~ p0(VAR_2,VAR_0)
| l1(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_003) ).
cnf(c_469,plain,
( ~ m0(B,A,C)
| ~ r0(D)
| ~ p0(C,A)
| l1(A,B) ),
inference(clausify,[status(thm)],[rule_003]) ).
fof(axiom_38,axiom,
m0(b,a,a),
file('theBenchmark.p',axiom_38) ).
cnf(c_470,plain,
m0(b,a,a),
inference(clausify,[status(thm)],[axiom_38]) ).
fof(axiom_28,axiom,
k0(e),
file('theBenchmark.p',axiom_28) ).
cnf(c_477,plain,
k0(e),
inference(clausify,[status(thm)],[axiom_28]) ).
fof(axiom_27,axiom,
m0(e,b,c),
file('theBenchmark.p',axiom_27) ).
cnf(c_478,plain,
m0(e,b,c),
inference(clausify,[status(thm)],[axiom_27]) ).
fof(axiom_23,axiom,
m0(a,e,e),
file('theBenchmark.p',axiom_23) ).
cnf(c_481,plain,
m0(a,e,e),
inference(clausify,[status(thm)],[axiom_23]) ).
fof(axiom_19,axiom,
! [VAR_0,VAR_1] : m0(VAR_0,d,VAR_1),
file('theBenchmark.p',axiom_19) ).
cnf(c_485,plain,
m0(A,d,B),
inference(clausify,[status(thm)],[axiom_19]) ).
fof(axiom_18,axiom,
p0(c,b),
file('theBenchmark.p',axiom_18) ).
cnf(c_486,plain,
p0(c,b),
inference(clausify,[status(thm)],[axiom_18]) ).
fof(axiom_17,axiom,
! [VAR_0] : q0(VAR_0,d),
file('theBenchmark.p',axiom_17) ).
cnf(c_487,plain,
q0(A,d),
inference(clausify,[status(thm)],[axiom_17]) ).
fof(axiom_14,axiom,
! [VAR_0] : p0(b,VAR_0),
file('theBenchmark.p',axiom_14) ).
cnf(c_489,plain,
p0(b,A),
inference(clausify,[status(thm)],[axiom_14]) ).
fof(axiom_13,axiom,
r0(e),
file('theBenchmark.p',axiom_13) ).
cnf(c_490,plain,
r0(e),
inference(clausify,[status(thm)],[axiom_13]) ).
fof(axiom_1,axiom,
s0(d),
file('theBenchmark.p',axiom_1) ).
cnf(c_495,plain,
s0(d),
inference(clausify,[status(thm)],[axiom_1]) ).
cnf(c_510,plain,
( ~ q4(C,D)
| ~ l4(C)
| q4(A,A)
| ~ q1(d,B,d)
| ~ s0(d)
| ~ q0(A,B) ),
inference(resolve,[status(thm)],[c_31,c_42]) ).
cnf(c_511,plain,
( ~ q4(C,D)
| ~ l4(C)
| q4(A,A)
| ~ q1(d,B,d)
| ~ q0(A,B) ),
inference(resolve,[status(thm)],[c_495,c_510]) ).
cnf(c_548,plain,
( ~ m3(C,C,C)
| n4(C,C)
| ~ q3(e,b)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_112,c_105]) ).
cnf(c_1169,plain,
( ~ m0(e,d,A)
| q1(e,A,A) ),
inference(resolve,[status(thm)],[c_485,c_390]) ).
cnf(c_583,plain,
q1(e,A,A),
inference(resolve,[status(thm)],[c_485,c_1169]) ).
cnf(c_628,plain,
p3(b,b,b),
inference(resolve,[status(thm)],[c_170,c_234]) ).
cnf(c_632,plain,
k3(e,e,e),
inference(resolve,[status(thm)],[c_191,c_236]) ).
cnf(c_641,plain,
( ~ n5(C,e)
| ~ p4(C,C,e)
| ~ n4(a,B)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_274,c_264]) ).
cnf(c_1170,plain,
( ~ p1(A,A,A)
| q2(A,e,e) ),
inference(resolve,[status(thm)],[c_334,c_477]) ).
cnf(c_672,plain,
q2(d,e,e),
inference(resolve,[status(thm)],[c_1170,c_237]) ).
cnf(c_1171,plain,
( ~ p1(A,A,A)
| q2(A,e,e) ),
inference(resolve,[status(thm)],[c_334,c_477]) ).
cnf(c_674,plain,
q2(b,e,e),
inference(resolve,[status(thm)],[c_1171,c_234]) ).
cnf(c_688,plain,
m1(A,d,A),
inference(resolve,[status(thm)],[c_467,c_485]) ).
cnf(c_1172,plain,
( ~ m0(B,C,A)
| n1(A,A,B) ),
inference(resolve,[status(thm)],[c_424,c_485]) ).
cnf(c_695,plain,
n1(A,A,B),
inference(resolve,[status(thm)],[c_1172,c_485]) ).
cnf(c_697,plain,
q1(A,A,A),
inference(resolve,[status(thm)],[c_380,c_485]) ).
cnf(c_698,plain,
p2(A,A,A),
inference(resolve,[status(thm)],[c_695,c_353]) ).
cnf(c_702,plain,
m3(A,A,A),
inference(resolve,[status(thm)],[c_698,c_308]) ).
cnf(c_703,plain,
( n4(C,C)
| ~ q3(e,b)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_702,c_548]) ).
cnf(c_1173,plain,
( ~ m0(A,b,c)
| ~ r0(B)
| l1(b,A) ),
inference(resolve,[status(thm)],[c_469,c_486]) ).
cnf(c_1174,plain,
( ~ m0(A,b,c)
| l1(b,A) ),
inference(resolve,[status(thm)],[c_1173,c_490]) ).
cnf(c_746,plain,
l1(b,e),
inference(resolve,[status(thm)],[c_1174,c_478]) ).
cnf(c_762,plain,
k2(A,A),
inference(resolve,[status(thm)],[c_373,c_583]) ).
cnf(c_769,plain,
l4(b),
inference(resolve,[status(thm)],[c_289,c_628]) ).
cnf(c_1175,plain,
( ~ k3(e,e,e)
| ~ n5(e,e)
| ~ n4(a,B)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_641,c_282]) ).
cnf(c_777,plain,
( ~ n5(e,e)
| ~ n4(a,B)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_632,c_1175]) ).
cnf(c_1176,plain,
( ~ l4(b)
| l4(a) ),
inference(resolve,[status(thm)],[c_288,c_470]) ).
cnf(c_849,plain,
l4(a),
inference(resolve,[status(thm)],[c_1176,c_769]) ).
cnf(c_1177,plain,
( ~ l4(a)
| l4(e) ),
inference(resolve,[status(thm)],[c_288,c_481]) ).
cnf(c_852,plain,
l4(e),
inference(resolve,[status(thm)],[c_1177,c_849]) ).
cnf(c_878,plain,
q2(e,e,b),
inference(resolve,[status(thm)],[c_325,c_746]) ).
cnf(c_961,plain,
q3(e,e),
inference(resolve,[status(thm)],[c_202,c_672]) ).
cnf(c_1178,plain,
( ~ k2(B,d)
| ~ k1(B)
| k2(A,d) ),
inference(resolve,[status(thm)],[c_375,c_688]) ).
cnf(c_1179,plain,
( ~ k2(d,d)
| k2(A,d) ),
inference(resolve,[status(thm)],[c_1178,c_262]) ).
cnf(c_1071,plain,
k2(A,d),
inference(resolve,[status(thm)],[c_1179,c_762]) ).
cnf(c_1074,plain,
k3(d,d,A),
inference(resolve,[status(thm)],[c_324,c_1071]) ).
cnf(c_1180,plain,
( ~ p0(D,A)
| ~ q3(B,C)
| n5(A,A) ),
inference(resolve,[status(thm)],[c_136,c_698]) ).
cnf(c_1181,plain,
( ~ p0(B,A)
| n5(A,A) ),
inference(resolve,[status(thm)],[c_1180,c_961]) ).
cnf(c_1110,plain,
n5(A,A),
inference(resolve,[status(thm)],[c_1181,c_489]) ).
cnf(c_1134,plain,
( ~ n4(a,B)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_1110,c_777]) ).
cnf(c_1140,plain,
( ~ q4(C,a)
| ~ q3(e,b)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_703,c_1134]) ).
cnf(c_1144,plain,
( ~ q4(A,a)
| ~ q3(e,b) ),
inference(resolve,[status(thm)],[c_1140,c_698]) ).
cnf(c_1182,plain,
( ~ q2(e,e,b)
| ~ q4(A,a) ),
inference(resolve,[status(thm)],[c_1144,c_207]) ).
cnf(c_1148,plain,
~ q4(A,a),
inference(resolve,[status(thm)],[c_878,c_1182]) ).
cnf(c_1183,plain,
( ~ q4(B,C)
| ~ l4(B)
| q4(A,A)
| ~ q1(d,d,d) ),
inference(resolve,[status(thm)],[c_511,c_487]) ).
cnf(c_1184,plain,
( ~ q4(B,C)
| ~ l4(B)
| q4(A,A) ),
inference(resolve,[status(thm)],[c_1183,c_697]) ).
cnf(c_1185,plain,
( ~ q4(A,B)
| ~ l4(A) ),
inference(resolve,[status(thm)],[c_1184,c_1148]) ).
cnf(c_1154,plain,
~ q4(e,A),
inference(resolve,[status(thm)],[c_1185,c_852]) ).
cnf(c_1186,plain,
( ~ m3(B,D,B)
| ~ q2(B,C,e)
| ~ k3(A,A,e) ),
inference(resolve,[status(thm)],[c_276,c_1154]) ).
cnf(c_1187,plain,
( ~ m3(b,B,b)
| ~ k3(A,A,e) ),
inference(resolve,[status(thm)],[c_1186,c_674]) ).
cnf(c_1167,plain,
~ k3(A,A,e),
inference(resolve,[status(thm)],[c_1187,c_702]) ).
cnf(c_1168,plain,
$false,
inference(resolve,[status(thm)],[c_1167,c_1074]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 17:16:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3230423 was started by sandbox2 on n013,
% 0.10/0.37 % Sat Sep 26 17:16:06 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 0.80/0.54
% 0.80/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.80/0.54
% 0.80/0.54 % Proof 1 at 0.13 (+ 0.02) seconds.
% 0.80/0.54 % Length of proof is 90.
% 0.80/0.54 % Level of proof is 11.
% 0.80/0.54 % Maximum clause weight is 21.000.
% 0.80/0.54 % Given clauses 436.
% 0.80/0.54
% 0.80/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------