%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN163-1 : 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 0.14s 5.62s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 51
% Syntax : Number of formulae : 175 ( 60 unt; 0 def)
% Number of atoms : 403 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 469 ( 241 ~; 228 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 34 ( 33 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 289 ( 78 sgn 92 !; 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_37,axiom,
n0(b,a),
file('theBenchmark.p',axiom_37) ).
cnf(c_2,plain,
n0(b,a),
inference(clausify,[status(thm)],[axiom_37]) ).
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(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_188,axiom,
! [VAR_0] :
( ~ l0(VAR_0)
| ~ r1(VAR_0)
| r2(VAR_0) ),
file('theBenchmark.p',rule_188) ).
cnf(c_39,plain,
( ~ l0(A)
| ~ r1(A)
| r2(A) ),
inference(clausify,[status(thm)],[rule_188]) ).
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]) ).
cnf(c_59,plain,
( ~ l0(A)
| r2(A)
| ~ q1(d,B,d)
| ~ s0(d)
| ~ q0(A,B) ),
inference(resolve,[status(thm)],[c_31,c_39]) ).
fof(rule_258,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ l2(VAR_2,VAR_2)
| ~ s1(VAR_1)
| ~ r2(VAR_0)
| q3(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_258) ).
cnf(c_71,plain,
( ~ l2(C,C)
| ~ s1(B)
| ~ r2(A)
| q3(A,A) ),
inference(clausify,[status(thm)],[rule_258]) ).
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_191,plain,
( ~ p1(B,C,A)
| k3(A,A,A) ),
inference(resolve,[status(thm)],[c_48,c_46]) ).
cnf(c_207,plain,
( ~ q2(e,e,A)
| q3(e,A) ),
inference(resolve,[status(thm)],[c_27,c_4]) ).
cnf(c_237,plain,
p1(d,d,d),
inference(resolve,[status(thm)],[c_17,c_3]) ).
cnf(c_238,plain,
p1(a,a,a),
inference(resolve,[status(thm)],[c_17,c_2]) ).
cnf(c_261,plain,
k1(e),
inference(resolve,[status(thm)],[c_1,c_4]) ).
cnf(c_262,plain,
k1(d),
inference(resolve,[status(thm)],[c_1,c_3]) ).
fof(prove_this,axiom,
~ n5(e,a),
file('theBenchmark.p',prove_this) ).
cnf(c_264,plain,
~ n5(e,a),
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_281,axiom,
! [VAR_0,VAR_1] :
( ~ n4(VAR_0,VAR_0)
| ~ p3(VAR_0,VAR_1,VAR_1)
| n4(VAR_0,VAR_1) ),
file('theBenchmark.p',rule_281) ).
cnf(c_287,plain,
( ~ n4(A,A)
| ~ p3(A,B,B)
| n4(A,B) ),
inference(clausify,[status(thm)],[rule_281]) ).
fof(rule_241,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ k2(VAR_1,VAR_2)
| ~ q2(VAR_3,d,VAR_0)
| p3(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',rule_241) ).
cnf(c_306,plain,
( ~ k2(B,C)
| ~ q2(D,d,A)
| p3(A,B,C) ),
inference(clausify,[status(thm)],[rule_241]) ).
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_202,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ k3(VAR_1,VAR_4,VAR_3)
| ~ k2(VAR_0,VAR_3)
| ~ q0(VAR_2,VAR_1)
| k3(VAR_0,VAR_0,VAR_1) ),
file('theBenchmark.p',rule_202) ).
cnf(c_319,plain,
( ~ k3(B,E,D)
| ~ k2(A,D)
| ~ q0(C,B)
| k3(A,A,B) ),
inference(clausify,[status(thm)],[rule_202]) ).
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_182,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ q2(VAR_1,VAR_2,VAR_0)
| ~ n1(VAR_1,VAR_0,VAR_2)
| ~ p1(VAR_0,VAR_0,VAR_2)
| q2(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_182) ).
cnf(c_329,plain,
( ~ q2(B,C,A)
| ~ n1(B,A,C)
| ~ p1(A,A,C)
| q2(A,B,A) ),
inference(clausify,[status(thm)],[rule_182]) ).
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_154,axiom,
! [VAR_0] :
( ~ q1(VAR_0,VAR_0,VAR_0)
| p2(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_154) ).
cnf(c_352,plain,
( ~ q1(A,A,A)
| p2(A,A,A) ),
inference(clausify,[status(thm)],[rule_154]) ).
fof(rule_134,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p0(VAR_1,VAR_0)
| ~ m1(VAR_2,VAR_1,VAR_1)
| ~ m0(VAR_1,VAR_0,VAR_2)
| l2(VAR_0,VAR_0) ),
file('theBenchmark.p',rule_134) ).
cnf(c_369,plain,
( ~ p0(B,A)
| ~ m1(C,B,B)
| ~ m0(B,A,C)
| l2(A,A) ),
inference(clausify,[status(thm)],[rule_134]) ).
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_125,axiom,
! [VAR_0] :
( ~ p0(VAR_0,VAR_0)
| s1(VAR_0) ),
file('theBenchmark.p',rule_125) ).
cnf(c_377,plain,
( ~ p0(A,A)
| s1(A) ),
inference(clausify,[status(thm)],[rule_125]) ).
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_085,axiom,
! [VAR_0,VAR_1] :
( ~ p0(VAR_1,VAR_0)
| p1(VAR_0,VAR_0,VAR_0) ),
file('theBenchmark.p',rule_085) ).
cnf(c_406,plain,
( ~ p0(B,A)
| p1(A,A,A) ),
inference(clausify,[status(thm)],[rule_085]) ).
fof(rule_040,axiom,
! [VAR_0,VAR_1] :
( ~ k1(VAR_0)
| ~ m0(VAR_0,VAR_1,e)
| n1(VAR_0,e,e) ),
file('theBenchmark.p',rule_040) ).
cnf(c_440,plain,
( ~ k1(A)
| ~ m0(A,B,e)
| n1(A,e,e) ),
inference(clausify,[status(thm)],[rule_040]) ).
fof(rule_021,axiom,
! [VAR_0,VAR_1] :
( ~ k0(VAR_1)
| ~ l0(VAR_0)
| m1(VAR_0,VAR_1,VAR_0) ),
file('theBenchmark.p',rule_021) ).
cnf(c_458,plain,
( ~ k0(B)
| ~ l0(A)
| m1(A,B,A) ),
inference(clausify,[status(thm)],[rule_021]) ).
fof(rule_015,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ m0(VAR_1,VAR_1,VAR_0)
| ~ l0(VAR_2)
| m1(VAR_0,VAR_1,VAR_1) ),
file('theBenchmark.p',rule_015) ).
cnf(c_463,plain,
( ~ m0(B,B,A)
| ~ l0(C)
| m1(A,B,B) ),
inference(clausify,[status(thm)],[rule_015]) ).
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_31,axiom,
m0(b,b,e),
file('theBenchmark.p',axiom_31) ).
cnf(c_475,plain,
m0(b,b,e),
inference(clausify,[status(thm)],[axiom_31]) ).
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_24,axiom,
l0(c),
file('theBenchmark.p',axiom_24) ).
cnf(c_480,plain,
l0(c),
inference(clausify,[status(thm)],[axiom_24]) ).
fof(axiom_21,axiom,
q0(b,e),
file('theBenchmark.p',axiom_21) ).
cnf(c_483,plain,
q0(b,e),
inference(clausify,[status(thm)],[axiom_21]) ).
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_532,plain,
( ~ l2(D,D)
| ~ s1(C)
| q3(A,A)
| ~ l0(A)
| ~ q1(d,B,d)
| ~ s0(d)
| ~ q0(A,B) ),
inference(resolve,[status(thm)],[c_59,c_71]) ).
cnf(c_533,plain,
( ~ l2(D,D)
| ~ s1(C)
| q3(A,A)
| ~ l0(A)
| ~ q1(d,B,d)
| ~ q0(A,B) ),
inference(resolve,[status(thm)],[c_495,c_532]) ).
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_1791,plain,
( ~ m0(e,d,A)
| q1(e,A,A) ),
inference(resolve,[status(thm)],[c_485,c_390]) ).
cnf(c_606,plain,
q1(e,A,A),
inference(resolve,[status(thm)],[c_485,c_1791]) ).
cnf(c_668,plain,
k3(a,a,a),
inference(resolve,[status(thm)],[c_238,c_191]) ).
cnf(c_671,plain,
( ~ n5(C,a)
| ~ p4(C,C,a)
| ~ n4(e,B)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_274,c_264]) ).
cnf(c_1792,plain,
( ~ p1(A,A,A)
| q2(A,e,e) ),
inference(resolve,[status(thm)],[c_334,c_477]) ).
cnf(c_747,plain,
q2(d,e,e),
inference(resolve,[status(thm)],[c_1792,c_237]) ).
cnf(c_1793,plain,
( ~ m0(B,B,A)
| m1(A,B,B) ),
inference(resolve,[status(thm)],[c_463,c_480]) ).
cnf(c_757,plain,
m1(e,b,b),
inference(resolve,[status(thm)],[c_1793,c_475]) ).
cnf(c_1794,plain,
( ~ k0(A)
| m1(c,A,c) ),
inference(resolve,[status(thm)],[c_458,c_480]) ).
cnf(c_758,plain,
m1(c,e,c),
inference(resolve,[status(thm)],[c_1794,c_477]) ).
cnf(c_788,plain,
q1(A,A,A),
inference(resolve,[status(thm)],[c_485,c_380]) ).
cnf(c_1795,plain,
( ~ k1(A)
| n1(A,e,e) ),
inference(resolve,[status(thm)],[c_440,c_485]) ).
cnf(c_793,plain,
n1(d,e,e),
inference(resolve,[status(thm)],[c_1795,c_262]) ).
cnf(c_797,plain,
p2(A,A,A),
inference(resolve,[status(thm)],[c_788,c_352]) ).
cnf(c_800,plain,
m3(A,A,A),
inference(resolve,[status(thm)],[c_797,c_308]) ).
cnf(c_801,plain,
( n4(C,C)
| ~ q3(e,b)
| ~ p2(A,B,e) ),
inference(resolve,[status(thm)],[c_800,c_548]) ).
cnf(c_830,plain,
p1(A,A,A),
inference(resolve,[status(thm)],[c_489,c_406]) ).
cnf(c_835,plain,
s1(b),
inference(resolve,[status(thm)],[c_489,c_377]) ).
cnf(c_1796,plain,
( ~ m0(A,b,c)
| ~ r0(B)
| l1(b,A) ),
inference(resolve,[status(thm)],[c_469,c_486]) ).
cnf(c_1797,plain,
( ~ m0(A,b,c)
| l1(b,A) ),
inference(resolve,[status(thm)],[c_1796,c_490]) ).
cnf(c_870,plain,
l1(b,e),
inference(resolve,[status(thm)],[c_1797,c_478]) ).
cnf(c_880,plain,
k2(A,A),
inference(resolve,[status(thm)],[c_606,c_373]) ).
cnf(c_1798,plain,
( ~ k3(a,a,a)
| ~ n5(a,a)
| ~ n4(e,B)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_671,c_282]) ).
cnf(c_922,plain,
( ~ n5(a,a)
| ~ n4(e,B)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_668,c_1798]) ).
cnf(c_935,plain,
( ~ n4(e,e)
| ~ p3(e,B,B)
| ~ n5(a,a)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_922,c_287]) ).
cnf(c_1003,plain,
q2(e,e,b),
inference(resolve,[status(thm)],[c_870,c_325]) ).
cnf(c_1004,plain,
k3(A,A,A),
inference(resolve,[status(thm)],[c_880,c_324]) ).
cnf(c_1799,plain,
( ~ k2(B,B)
| ~ q2(C,d,e)
| ~ n4(e,e)
| ~ n5(a,a)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_935,c_306]) ).
cnf(c_1072,plain,
( ~ q2(C,d,e)
| ~ n4(e,e)
| ~ n5(a,a)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_880,c_1799]) ).
cnf(c_1800,plain,
( ~ n1(d,e,e)
| ~ p1(e,e,e)
| q2(e,d,e) ),
inference(resolve,[status(thm)],[c_747,c_329]) ).
cnf(c_1801,plain,
( ~ n1(d,e,e)
| q2(e,d,e) ),
inference(resolve,[status(thm)],[c_830,c_1800]) ).
cnf(c_1176,plain,
q2(e,d,e),
inference(resolve,[status(thm)],[c_793,c_1801]) ).
cnf(c_1802,plain,
( ~ p0(b,b)
| ~ m1(e,b,b)
| l2(b,b) ),
inference(resolve,[status(thm)],[c_369,c_475]) ).
cnf(c_1803,plain,
( ~ p0(b,b)
| l2(b,b) ),
inference(resolve,[status(thm)],[c_1802,c_757]) ).
cnf(c_1215,plain,
l2(b,b),
inference(resolve,[status(thm)],[c_1803,c_489]) ).
cnf(c_1804,plain,
( ~ k2(A,e)
| ~ k1(A)
| k2(c,e) ),
inference(resolve,[status(thm)],[c_375,c_758]) ).
cnf(c_1805,plain,
( ~ k2(e,e)
| k2(c,e) ),
inference(resolve,[status(thm)],[c_1804,c_261]) ).
cnf(c_1238,plain,
k2(c,e),
inference(resolve,[status(thm)],[c_1805,c_880]) ).
cnf(c_1806,plain,
( ~ l2(C,C)
| ~ s1(B)
| q3(A,A)
| ~ l0(A)
| ~ q1(d,d,d) ),
inference(resolve,[status(thm)],[c_533,c_487]) ).
cnf(c_1807,plain,
( ~ l2(C,C)
| ~ s1(B)
| q3(A,A)
| ~ l0(A) ),
inference(resolve,[status(thm)],[c_1806,c_788]) ).
cnf(c_1808,plain,
( ~ l2(B,B)
| ~ s1(A)
| q3(c,c) ),
inference(resolve,[status(thm)],[c_1807,c_480]) ).
cnf(c_1809,plain,
( ~ l2(A,A)
| q3(c,c) ),
inference(resolve,[status(thm)],[c_1808,c_835]) ).
cnf(c_1361,plain,
q3(c,c),
inference(resolve,[status(thm)],[c_1809,c_1215]) ).
cnf(c_1810,plain,
( ~ p0(D,A)
| ~ q3(B,C)
| n5(A,A) ),
inference(resolve,[status(thm)],[c_136,c_797]) ).
cnf(c_1811,plain,
( ~ p0(B,A)
| n5(A,A) ),
inference(resolve,[status(thm)],[c_1810,c_1361]) ).
cnf(c_1409,plain,
n5(A,A),
inference(resolve,[status(thm)],[c_1811,c_489]) ).
cnf(c_1442,plain,
( ~ q2(C,d,e)
| ~ n4(e,e)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_1409,c_1072]) ).
cnf(c_1461,plain,
( ~ q2(D,B,A)
| ~ k3(C,C,A)
| q4(A,B) ),
inference(resolve,[status(thm)],[c_800,c_276]) ).
cnf(c_1469,plain,
( n4(A,A)
| ~ q3(e,b) ),
inference(resolve,[status(thm)],[c_801,c_797]) ).
cnf(c_1692,plain,
q3(e,b),
inference(resolve,[status(thm)],[c_1003,c_207]) ).
cnf(c_1693,plain,
n4(A,A),
inference(resolve,[status(thm)],[c_1692,c_1469]) ).
cnf(c_1701,plain,
( ~ q2(C,d,e)
| ~ q4(A,B) ),
inference(resolve,[status(thm)],[c_1693,c_1442]) ).
cnf(c_1812,plain,
( ~ k3(e,C,B)
| ~ k2(A,B)
| k3(A,A,e) ),
inference(resolve,[status(thm)],[c_319,c_483]) ).
cnf(c_1813,plain,
( ~ k3(e,A,e)
| k3(c,c,e) ),
inference(resolve,[status(thm)],[c_1812,c_1238]) ).
cnf(c_1720,plain,
k3(c,c,e),
inference(resolve,[status(thm)],[c_1813,c_1004]) ).
cnf(c_1776,plain,
~ q4(A,B),
inference(resolve,[status(thm)],[c_1176,c_1701]) ).
cnf(c_1787,plain,
( ~ q2(C,D,B)
| ~ k3(A,A,B) ),
inference(resolve,[status(thm)],[c_1776,c_1461]) ).
cnf(c_1789,plain,
~ k3(A,A,e),
inference(resolve,[status(thm)],[c_1787,c_1176]) ).
cnf(c_1790,plain,
$false,
inference(resolve,[status(thm)],[c_1789,c_1720]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN163-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n013.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 17:16:26 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.39 % Process 3231063 was started by sandbox2 on n013,
% 0.11/5.39 % Sat Sep 26 17:16:26 2026
% 0.11/5.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/5.40
% 0.14/5.40 % From the command line: assign(max_seconds, 300).
% 0.14/5.62
% 0.14/5.62 % given #500 (A,wt=11): 822 m1(A,B,A) | -r0(A). [resolve(489,a,466,b)].
% 0.14/5.62
% 0.14/5.62 % SZS status Unsatisfiable for theBenchmark
% 0.14/5.62
% 0.14/5.62 % Proof 1 at 0.16 (+ 0.04) seconds.
% 0.14/5.62 % Length of proof is 101.
% 0.14/5.62 % Level of proof is 11.
% 0.14/5.62 % Maximum clause weight is 22.000.
% 0.14/5.62 % Given clauses 620.
% 0.14/5.62
% 0.14/5.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------