%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP777-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 07:31:26 AM UTC 2026
% Result : Unsatisfiable 2.84s 0.88s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 10
% Syntax : Number of formulae : 134 ( 134 unt; 0 def)
% Number of atoms : 134 ( 133 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 239 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos01,axiom,
! [VAR_0,VAR_1] : difference(VAR_0,product(VAR_0,VAR_1)) = VAR_1,
file('theBenchmark.p',sos01) ).
cnf(c_1,plain,
difference(A,product(A,B)) = B,
inference(clausify,[status(thm)],[sos01]) ).
fof(sos02,axiom,
! [VAR_0,VAR_1] : product(VAR_0,difference(VAR_0,VAR_1)) = VAR_1,
file('theBenchmark.p',sos02) ).
cnf(c_2,plain,
product(A,difference(A,B)) = B,
inference(clausify,[status(thm)],[sos02]) ).
fof(sos03,axiom,
! [VAR_0,VAR_1] : quotient(product(VAR_0,VAR_1),VAR_1) = VAR_0,
file('theBenchmark.p',sos03) ).
cnf(c_3,plain,
quotient(product(A,B),B) = A,
inference(clausify,[status(thm)],[sos03]) ).
fof(sos04,axiom,
! [VAR_0,VAR_1] : product(quotient(VAR_0,VAR_1),VAR_1) = VAR_0,
file('theBenchmark.p',sos04) ).
cnf(c_4,plain,
product(quotient(A,B),B) = A,
inference(clausify,[status(thm)],[sos04]) ).
fof(sos05,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : product(product(VAR_0,VAR_1),product(VAR_2,VAR_3)) = product(product(VAR_0,VAR_2),product(VAR_1,VAR_3)),
file('theBenchmark.p',sos05) ).
cnf(c_5,plain,
product(product(A,B),product(C,D)) = product(product(A,C),product(B,D)),
inference(clausify,[status(thm)],[sos05]) ).
fof(sos06,axiom,
! [VAR_0] : product(VAR_0,VAR_0) = VAR_0,
file('theBenchmark.p',sos06) ).
cnf(c_6,plain,
product(A,A) = A,
inference(clausify,[status(thm)],[sos06]) ).
fof(sos07,axiom,
! [VAR_0,VAR_1] : product(product(product(VAR_0,VAR_1),VAR_1),product(VAR_1,product(VAR_1,VAR_0))) = VAR_1,
file('theBenchmark.p',sos07) ).
cnf(c_7,plain,
product(product(product(A,B),B),product(B,product(B,A))) = B,
inference(clausify,[status(thm)],[sos07]) ).
fof(sos08,axiom,
! [VAR_0,VAR_1,VAR_2] : bigC(VAR_0,VAR_1,VAR_2) = product(product(VAR_0,VAR_1),product(VAR_2,VAR_0)),
file('theBenchmark.p',sos08) ).
cnf(c_8,plain,
bigC(A,B,C) = product(product(A,B),product(C,A)),
inference(clausify,[status(thm)],[sos08]) ).
fof(sos09,axiom,
product(product(a,c),product(c,b)) = product(a,b),
file('theBenchmark.p',sos09) ).
cnf(c_9,plain,
product(product(a,c),product(c,b)) = product(a,b),
inference(clausify,[status(thm)],[sos09]) ).
fof(goal,axiom,
bigC(a,b,x0) != bigC(c,c,x0),
file('theBenchmark.p',goal) ).
cnf(c_10,plain,
bigC(a,b,x0) != bigC(c,c,x0),
inference(clausify,[status(thm)],[goal]) ).
cnf(c_2087,plain,
product(product(a,b),product(x0,a)) != bigC(c,c,x0),
inference(paramod,[status(thm)],[c_8,c_10]) ).
cnf(c_2088,plain,
product(product(a,b),product(x0,a)) != product(product(c,c),product(x0,c)),
inference(paramod,[status(thm)],[c_8,c_2087]) ).
cnf(c_11,plain,
product(product(a,b),product(x0,a)) != product(c,product(x0,c)),
inference(paramod,[status(thm)],[c_6,c_2088]) ).
cnf(c_12,plain,
quotient(A,difference(B,A)) = B,
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_13,plain,
difference(quotient(A,B),A) = B,
inference(paramod,[status(thm)],[c_4,c_1]) ).
cnf(c_14,plain,
difference(product(A,B),product(product(A,C),product(B,D))) = product(C,D),
inference(paramod,[status(thm)],[c_5,c_1]) ).
cnf(c_2089,plain,
product(A,product(B,C)) = product(product(D,B),product(difference(D,A),C)),
inference(paramod,[status(thm)],[c_2,c_5]) ).
cnf(c_15,plain,
product(product(A,B),product(difference(A,C),D)) = product(C,product(B,D)),
inference(copy,[status(thm)],[c_2089]) ).
cnf(c_2090,plain,
product(product(A,B),C) = product(product(A,D),product(B,difference(D,C))),
inference(paramod,[status(thm)],[c_2,c_5]) ).
cnf(c_16,plain,
product(product(A,B),product(C,difference(B,D))) = product(product(A,C),D),
inference(copy,[status(thm)],[c_2090]) ).
cnf(c_2091,plain,
product(product(A,B),C) = product(product(A,quotient(C,D)),product(B,D)),
inference(paramod,[status(thm)],[c_4,c_5]) ).
cnf(c_19,plain,
product(product(A,quotient(B,C)),product(D,C)) = product(product(A,D),B),
inference(copy,[status(thm)],[c_2091]) ).
cnf(c_22,plain,
difference(A,A) = A,
inference(paramod,[status(thm)],[c_6,c_1]) ).
cnf(c_23,plain,
quotient(A,A) = A,
inference(paramod,[status(thm)],[c_6,c_3]) ).
cnf(c_2092,plain,
product(A,product(B,C)) = product(product(A,B),product(A,C)),
inference(paramod,[status(thm)],[c_6,c_5]) ).
cnf(c_24,plain,
product(product(A,B),product(A,C)) = product(A,product(B,C)),
inference(copy,[status(thm)],[c_2092]) ).
cnf(c_2093,plain,
product(product(A,B),C) = product(product(A,C),product(B,C)),
inference(paramod,[status(thm)],[c_6,c_5]) ).
cnf(c_25,plain,
product(product(A,B),product(C,B)) = product(product(A,C),B),
inference(copy,[status(thm)],[c_2093]) ).
cnf(c_28,plain,
product(product(product(difference(A,B),A),A),product(A,B)) = A,
inference(paramod,[status(thm)],[c_2,c_7]) ).
cnf(c_30,plain,
product(product(A,B),product(B,product(B,quotient(A,B)))) = B,
inference(paramod,[status(thm)],[c_4,c_7]) ).
cnf(c_38,plain,
difference(product(a,c),product(a,b)) = product(c,b),
inference(paramod,[status(thm)],[c_9,c_1]) ).
cnf(c_46,plain,
difference(product(A,B),product(C,product(B,D))) = product(difference(A,C),D),
inference(paramod,[status(thm)],[c_2,c_14]) ).
cnf(c_50,plain,
difference(product(A,B),product(C,D)) = product(difference(A,C),difference(B,D)),
inference(paramod,[status(thm)],[c_2,c_46]) ).
cnf(c_2094,plain,
product(difference(a,a),difference(c,b)) = product(c,b),
inference(paramod,[status(thm)],[c_50,c_38]) ).
cnf(c_65,plain,
product(a,difference(c,b)) = product(c,b),
inference(paramod,[status(thm)],[c_22,c_2094]) ).
cnf(c_2095,plain,
difference(a,product(c,b)) = difference(c,b),
inference(paramod,[status(thm)],[c_65,c_1]) ).
cnf(c_66,plain,
difference(c,b) = difference(a,product(c,b)),
inference(copy,[status(thm)],[c_2095]) ).
cnf(c_83,plain,
product(A,product(difference(A,B),C)) = product(B,product(A,C)),
inference(paramod,[status(thm)],[c_6,c_15]) ).
cnf(c_98,plain,
product(product(A,x0),product(difference(A,product(a,b)),a)) != product(c,product(x0,c)),
inference(paramod,[status(thm)],[c_15,c_11]) ).
cnf(c_2096,plain,
product(product(A,B),C) = product(product(A,quotient(C,difference(B,D))),D),
inference(paramod,[status(thm)],[c_4,c_16]) ).
cnf(c_113,plain,
product(product(A,quotient(B,difference(C,D))),D) = product(product(A,C),B),
inference(copy,[status(thm)],[c_2096]) ).
cnf(c_183,plain,
quotient(b,difference(a,product(c,b))) = c,
inference(paramod,[status(thm)],[c_66,c_12]) ).
cnf(c_194,plain,
difference(product(A,B),C) = product(difference(A,D),difference(B,difference(D,C))),
inference(paramod,[status(thm)],[c_2,c_50]) ).
cnf(c_199,plain,
difference(A,product(B,C)) = product(difference(A,B),difference(A,C)),
inference(paramod,[status(thm)],[c_6,c_50]) ).
cnf(c_200,plain,
difference(product(A,B),C) = product(difference(A,C),difference(B,C)),
inference(paramod,[status(thm)],[c_6,c_50]) ).
cnf(c_225,plain,
quotient(b,product(difference(a,c),difference(a,b))) = c,
inference(paramod,[status(thm)],[c_199,c_183]) ).
cnf(c_249,plain,
product(product(A,x0),product(product(difference(A,a),difference(A,b)),a)) != product(c,product(x0,c)),
inference(paramod,[status(thm)],[c_199,c_98]) ).
cnf(c_2097,plain,
product(difference(A,C),difference(B,C)) = product(difference(A,D),difference(B,difference(D,C))),
inference(paramod,[status(thm)],[c_200,c_194]) ).
cnf(c_269,plain,
product(difference(A,B),difference(C,difference(B,D))) = product(difference(A,D),difference(C,D)),
inference(copy,[status(thm)],[c_2097]) ).
cnf(c_2098,plain,
difference(A,B) = product(difference(A,quotient(B,C)),difference(A,C)),
inference(paramod,[status(thm)],[c_4,c_199]) ).
cnf(c_287,plain,
product(difference(A,quotient(B,C)),difference(A,C)) = difference(A,B),
inference(copy,[status(thm)],[c_2098]) ).
cnf(c_2099,plain,
difference(A,B) = product(difference(quotient(A,C),B),difference(C,B)),
inference(paramod,[status(thm)],[c_4,c_200]) ).
cnf(c_443,plain,
product(difference(quotient(A,B),C),difference(B,C)) = difference(A,C),
inference(copy,[status(thm)],[c_2099]) ).
cnf(c_444,plain,
quotient(A,product(difference(B,A),difference(C,A))) = product(B,C),
inference(paramod,[status(thm)],[c_200,c_12]) ).
cnf(c_456,plain,
quotient(difference(A,B),difference(A,C)) = difference(A,quotient(B,C)),
inference(paramod,[status(thm)],[c_287,c_3]) ).
cnf(c_2100,plain,
product(A,difference(quotient(quotient(B,C),A),C)) = difference(quotient(quotient(B,C),A),B),
inference(paramod,[status(thm)],[c_13,c_287]) ).
cnf(c_461,plain,
difference(quotient(quotient(A,B),C),A) = product(C,difference(quotient(quotient(A,B),C),B)),
inference(copy,[status(thm)],[c_2100]) ).
cnf(c_463,plain,
product(difference(A,quotient(B,A)),A) = difference(A,B),
inference(paramod,[status(thm)],[c_22,c_287]) ).
cnf(c_485,plain,
quotient(A,difference(A,B)) = difference(A,quotient(A,B)),
inference(paramod,[status(thm)],[c_22,c_456]) ).
cnf(c_2101,plain,
product(difference(difference(A,B),A),difference(A,B)) = difference(difference(A,B),B),
inference(paramod,[status(thm)],[c_12,c_463]) ).
cnf(c_689,plain,
difference(difference(A,B),B) = product(difference(difference(A,B),A),difference(A,B)),
inference(copy,[status(thm)],[c_2101]) ).
cnf(c_711,plain,
quotient(difference(A,B),difference(C,B)) = difference(quotient(A,C),B),
inference(paramod,[status(thm)],[c_443,c_3]) ).
cnf(c_718,plain,
product(difference(quotient(A,B),B),B) = difference(A,B),
inference(paramod,[status(thm)],[c_22,c_443]) ).
cnf(c_2102,plain,
quotient(A,difference(B,C)) = difference(quotient(quotient(C,A),B),C),
inference(paramod,[status(thm)],[c_13,c_711]) ).
cnf(c_743,plain,
difference(quotient(quotient(A,B),C),A) = quotient(B,difference(C,A)),
inference(copy,[status(thm)],[c_2102]) ).
cnf(c_744,plain,
quotient(difference(A,B),C) = difference(quotient(A,quotient(B,C)),B),
inference(paramod,[status(thm)],[c_13,c_711]) ).
cnf(c_2103,plain,
quotient(B,difference(C,A)) = product(C,difference(quotient(quotient(A,B),C),B)),
inference(paramod,[status(thm)],[c_743,c_461]) ).
cnf(c_754,plain,
product(A,difference(quotient(quotient(B,C),A),C)) = quotient(C,difference(A,B)),
inference(copy,[status(thm)],[c_2103]) ).
cnf(c_789,plain,
quotient(A,product(B,difference(C,A))) = product(quotient(A,B),C),
inference(paramod,[status(thm)],[c_13,c_444]) ).
cnf(c_801,plain,
product(quotient(b,difference(a,c)),a) = c,
inference(paramod,[status(thm)],[c_789,c_225]) ).
cnf(c_803,plain,
quotient(c,a) = quotient(b,difference(a,c)),
inference(paramod,[status(thm)],[c_801,c_3]) ).
cnf(c_2104,plain,
product(c,product(A,a)) = product(product(quotient(b,difference(a,c)),A),a),
inference(paramod,[status(thm)],[c_801,c_25]) ).
cnf(c_825,plain,
product(product(quotient(b,difference(a,c)),A),a) = product(c,product(A,a)),
inference(copy,[status(thm)],[c_2104]) ).
cnf(c_2105,plain,
product(product(A,a),c) = product(product(A,quotient(b,difference(a,c))),a),
inference(paramod,[status(thm)],[c_801,c_25]) ).
cnf(c_826,plain,
product(product(A,quotient(b,difference(a,c))),a) = product(product(A,a),c),
inference(copy,[status(thm)],[c_2105]) ).
cnf(c_2106,plain,
product(product(product(difference(quotient(b,difference(a,c)),a),quotient(b,difference(a,c))),quotient(b,difference(a,c))),c) = quotient(b,difference(a,c)),
inference(paramod,[status(thm)],[c_801,c_28]) ).
cnf(c_2107,plain,
product(product(product(difference(quotient(b,difference(a,c)),a),quotient(b,difference(a,c))),a),b) = quotient(b,difference(a,c)),
inference(paramod,[status(thm)],[c_113,c_2106]) ).
cnf(c_879,plain,
product(product(product(difference(quotient(b,difference(a,c)),a),a),c),b) = quotient(b,difference(a,c)),
inference(paramod,[status(thm)],[c_826,c_2107]) ).
cnf(c_2108,plain,
product(difference(A,B),product(B,product(B,quotient(difference(quotient(A,B),B),B)))) = B,
inference(paramod,[status(thm)],[c_718,c_30]) ).
cnf(c_2109,plain,
product(difference(A,B),product(B,product(B,difference(quotient(quotient(A,B),quotient(B,B)),B)))) = B,
inference(paramod,[status(thm)],[c_744,c_2108]) ).
cnf(c_2110,plain,
product(difference(A,B),product(B,product(B,difference(quotient(quotient(A,B),B),B)))) = B,
inference(paramod,[status(thm)],[c_23,c_2109]) ).
cnf(c_2111,plain,
product(difference(A,B),product(B,quotient(B,difference(B,A)))) = B,
inference(paramod,[status(thm)],[c_754,c_2110]) ).
cnf(c_2112,plain,
product(difference(A,B),product(B,difference(B,quotient(B,A)))) = B,
inference(paramod,[status(thm)],[c_485,c_2111]) ).
cnf(c_920,plain,
product(difference(A,B),quotient(B,A)) = B,
inference(paramod,[status(thm)],[c_2,c_2112]) ).
cnf(c_958,plain,
product(difference(a,quotient(b,difference(a,c))),a) = difference(a,c),
inference(paramod,[status(thm)],[c_803,c_463]) ).
cnf(c_959,plain,
product(difference(quotient(b,difference(a,c)),a),a) = difference(c,a),
inference(paramod,[status(thm)],[c_803,c_718]) ).
cnf(c_2113,plain,
product(product(difference(c,a),c),b) = quotient(b,difference(a,c)),
inference(paramod,[status(thm)],[c_959,c_879]) ).
cnf(c_963,plain,
quotient(b,difference(a,c)) = product(product(difference(c,a),c),b),
inference(copy,[status(thm)],[c_2113]) ).
cnf(c_2114,plain,
product(difference(a,product(product(difference(c,a),c),b)),a) = difference(a,c),
inference(paramod,[status(thm)],[c_963,c_958]) ).
cnf(c_2115,plain,
product(product(difference(a,product(difference(c,a),c)),difference(a,b)),a) = difference(a,c),
inference(paramod,[status(thm)],[c_199,c_2114]) ).
cnf(c_968,plain,
product(product(product(difference(a,difference(c,a)),difference(a,c)),difference(a,b)),a) = difference(a,c),
inference(paramod,[status(thm)],[c_199,c_2115]) ).
cnf(c_975,plain,
product(product(product(product(difference(c,a),c),b),A),a) = product(c,product(A,a)),
inference(paramod,[status(thm)],[c_963,c_825]) ).
cnf(c_988,plain,
quotient(c,a) = product(product(difference(c,a),c),b),
inference(paramod,[status(thm)],[c_963,c_803]) ).
cnf(c_990,plain,
quotient(A,quotient(A,B)) = difference(B,A),
inference(paramod,[status(thm)],[c_920,c_3]) ).
cnf(c_2116,plain,
product(A,product(B,C)) = product(product(difference(C,A),B),A),
inference(paramod,[status(thm)],[c_920,c_19]) ).
cnf(c_1006,plain,
product(product(difference(A,B),C),B) = product(B,product(C,A)),
inference(copy,[status(thm)],[c_2116]) ).
cnf(c_1034,plain,
product(product(A,x0),product(a,product(difference(A,b),A))) != product(c,product(x0,c)),
inference(paramod,[status(thm)],[c_1006,c_249]) ).
cnf(c_1045,plain,
quotient(A,B) = difference(difference(B,A),A),
inference(paramod,[status(thm)],[c_12,c_990]) ).
cnf(c_2117,plain,
quotient(A,difference(A,quotient(A,B))) = difference(A,difference(B,A)),
inference(paramod,[status(thm)],[c_990,c_485]) ).
cnf(c_2118,plain,
quotient(A,difference(A,difference(difference(B,A),A))) = difference(A,difference(B,A)),
inference(paramod,[status(thm)],[c_1045,c_2117]) ).
cnf(c_1050,plain,
difference(difference(difference(A,difference(difference(B,A),A)),A),A) = difference(A,difference(B,A)),
inference(paramod,[status(thm)],[c_1045,c_2118]) ).
cnf(c_2119,plain,
quotient(A,difference(A,quotient(A,B))) = difference(difference(A,B),A),
inference(paramod,[status(thm)],[c_485,c_990]) ).
cnf(c_2120,plain,
quotient(A,difference(A,difference(difference(B,A),A))) = difference(difference(A,B),A),
inference(paramod,[status(thm)],[c_1045,c_2119]) ).
cnf(c_2121,plain,
difference(difference(difference(A,difference(difference(B,A),A)),A),A) = difference(difference(A,B),A),
inference(paramod,[status(thm)],[c_1045,c_2120]) ).
cnf(c_2122,plain,
difference(A,difference(B,A)) = difference(difference(A,B),A),
inference(paramod,[status(thm)],[c_1050,c_2121]) ).
cnf(c_1051,plain,
difference(difference(A,B),A) = difference(A,difference(B,A)),
inference(copy,[status(thm)],[c_2122]) ).
cnf(c_1069,plain,
difference(difference(a,c),c) = product(product(difference(c,a),c),b),
inference(paramod,[status(thm)],[c_1045,c_988]) ).
cnf(c_1311,plain,
difference(difference(A,B),B) = product(difference(A,difference(B,A)),difference(A,B)),
inference(paramod,[status(thm)],[c_1051,c_689]) ).
cnf(c_1419,plain,
product(difference(a,difference(c,a)),difference(a,c)) = product(product(difference(c,a),c),b),
inference(paramod,[status(thm)],[c_1311,c_1069]) ).
cnf(c_2123,plain,
product(product(product(product(difference(c,a),c),b),difference(a,b)),a) = difference(a,c),
inference(paramod,[status(thm)],[c_1419,c_968]) ).
cnf(c_2124,plain,
product(c,product(difference(a,b),a)) = difference(a,c),
inference(paramod,[status(thm)],[c_975,c_2123]) ).
cnf(c_1429,plain,
difference(a,c) = product(c,product(difference(a,b),a)),
inference(copy,[status(thm)],[c_2124]) ).
cnf(c_1561,plain,
product(a,product(x0,product(difference(a,b),a))) != product(c,product(x0,c)),
inference(paramod,[status(thm)],[c_24,c_1034]) ).
cnf(c_1831,plain,
product(product(A,x0),product(difference(A,a),product(difference(a,b),a))) != product(c,product(x0,c)),
inference(paramod,[status(thm)],[c_15,c_1561]) ).
cnf(c_1912,plain,
product(difference(A,B),difference(C,difference(B,C))) = product(difference(A,C),C),
inference(paramod,[status(thm)],[c_22,c_269]) ).
cnf(c_2125,plain,
product(difference(A,a),difference(c,product(c,product(difference(a,b),a)))) = product(difference(A,c),c),
inference(paramod,[status(thm)],[c_1429,c_1912]) ).
cnf(c_2126,plain,
product(difference(A,a),product(difference(c,c),difference(c,product(difference(a,b),a)))) = product(difference(A,c),c),
inference(paramod,[status(thm)],[c_199,c_2125]) ).
cnf(c_2127,plain,
product(difference(A,a),product(c,difference(c,product(difference(a,b),a)))) = product(difference(A,c),c),
inference(paramod,[status(thm)],[c_22,c_2126]) ).
cnf(c_2128,plain,
product(difference(A,a),product(c,product(difference(c,difference(a,b)),difference(c,a)))) = product(difference(A,c),c),
inference(paramod,[status(thm)],[c_199,c_2127]) ).
cnf(c_2129,plain,
product(difference(A,a),product(difference(a,b),product(c,difference(c,a)))) = product(difference(A,c),c),
inference(paramod,[status(thm)],[c_83,c_2128]) ).
cnf(c_2130,plain,
product(difference(A,a),product(difference(a,b),a)) = product(difference(A,c),c),
inference(paramod,[status(thm)],[c_2,c_2129]) ).
cnf(c_2063,plain,
product(difference(A,c),c) = product(difference(A,a),product(difference(a,b),a)),
inference(copy,[status(thm)],[c_2130]) ).
cnf(c_2085,plain,
product(product(A,B),product(difference(A,a),product(difference(a,b),a))) = product(c,product(B,c)),
inference(paramod,[status(thm)],[c_2063,c_15]) ).
cnf(c_2086,plain,
$false,
inference(resolve,[status(thm)],[c_2085,c_1831]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP777-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n005.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Fri Sep 25 15:46:17 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.45 % Process 3872506 was started by sandbox2 on n005,
% 0.17/0.45 % Fri Sep 25 15:46:17 2026
% 0.17/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.46
% 0.17/0.46 % From the command line: assign(max_seconds, 300).
% 2.84/0.88
% 2.84/0.88 % SZS status Unsatisfiable for theBenchmark
% 2.84/0.88
% 2.84/0.88 % Proof 1 at 0.33 (+ 0.08) seconds.
% 2.84/0.88 % Length of proof is 80.
% 2.84/0.88 % Level of proof is 19.
% 2.84/0.88 % Maximum clause weight is 72.000.
% 2.84/0.88 % Given clauses 98.
% 2.84/0.88
% 2.84/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------