%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP617-1 : TPTP v9.3.1. Released v3.1.0.
% 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 07:30:30 AM UTC 2026
% Result : Unsatisfiable 24.73s 3.60s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 120 ( 64 unt; 0 def)
% Number of atoms : 211 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 190 ( 99 ~; 91 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 265 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(left_identity,axiom,
! [VAR_0] : product(identity,VAR_0,VAR_0),
file('theBenchmark.p',left_identity) ).
cnf(c_1,plain,
product(identity,A,A),
inference(clausify,[status(thm)],[left_identity]) ).
fof(right_identity,axiom,
! [VAR_0] : product(VAR_0,identity,VAR_0),
file('theBenchmark.p',right_identity) ).
cnf(c_2,plain,
product(A,identity,A),
inference(clausify,[status(thm)],[right_identity]) ).
fof(left_inverse,axiom,
! [VAR_0] : product(inverse(VAR_0),VAR_0,identity),
file('theBenchmark.p',left_inverse) ).
cnf(c_3,plain,
product(inverse(A),A,identity),
inference(clausify,[status(thm)],[left_inverse]) ).
fof(right_inverse,axiom,
! [VAR_0] : product(VAR_0,inverse(VAR_0),identity),
file('theBenchmark.p',right_inverse) ).
cnf(c_4,plain,
product(A,inverse(A),identity),
inference(clausify,[status(thm)],[right_inverse]) ).
fof(total_function1,axiom,
! [VAR_0,VAR_1] : product(VAR_0,VAR_1,multiply(VAR_0,VAR_1)),
file('theBenchmark.p',total_function1) ).
cnf(c_5,plain,
product(A,B,multiply(A,B)),
inference(clausify,[status(thm)],[total_function1]) ).
fof(total_function2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( VAR_2 = VAR_3
| ~ product(VAR_0,VAR_1,VAR_3)
| ~ product(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',total_function2) ).
cnf(c_6,plain,
( C = D
| ~ product(A,B,D)
| ~ product(A,B,C) ),
inference(clausify,[status(thm)],[total_function2]) ).
fof(associativity1,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( product(VAR_0,VAR_4,VAR_5)
| ~ product(VAR_2,VAR_3,VAR_5)
| ~ product(VAR_1,VAR_3,VAR_4)
| ~ product(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',associativity1) ).
cnf(c_7,plain,
( product(A,E,F)
| ~ product(C,D,F)
| ~ product(B,D,E)
| ~ product(A,B,C) ),
inference(clausify,[status(thm)],[associativity1]) ).
fof(associativity2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( product(VAR_2,VAR_3,VAR_5)
| ~ product(VAR_0,VAR_4,VAR_5)
| ~ product(VAR_1,VAR_3,VAR_4)
| ~ product(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',associativity2) ).
cnf(c_8,plain,
( product(C,D,F)
| ~ product(A,E,F)
| ~ product(B,D,E)
| ~ product(A,B,C) ),
inference(clausify,[status(thm)],[associativity2]) ).
fof(closure_of_inverse1,axiom,
! [VAR_0] :
( subgroup1_member(inverse(VAR_0))
| ~ subgroup1_member(VAR_0) ),
file('theBenchmark.p',closure_of_inverse1) ).
cnf(c_9,plain,
( subgroup1_member(inverse(A))
| ~ subgroup1_member(A) ),
inference(clausify,[status(thm)],[closure_of_inverse1]) ).
fof(closure_of_product1,axiom,
! [VAR_0,VAR_1,VAR_2] :
( subgroup1_member(VAR_2)
| ~ product(VAR_0,VAR_1,VAR_2)
| ~ subgroup1_member(VAR_1)
| ~ subgroup1_member(VAR_0) ),
file('theBenchmark.p',closure_of_product1) ).
cnf(c_10,plain,
( subgroup1_member(C)
| ~ product(A,B,C)
| ~ subgroup1_member(B)
| ~ subgroup1_member(A) ),
inference(clausify,[status(thm)],[closure_of_product1]) ).
fof(closure_of_inverse2,axiom,
! [VAR_0] :
( subgroup2_member(inverse(VAR_0))
| ~ subgroup2_member(VAR_0) ),
file('theBenchmark.p',closure_of_inverse2) ).
cnf(c_11,plain,
( subgroup2_member(inverse(A))
| ~ subgroup2_member(A) ),
inference(clausify,[status(thm)],[closure_of_inverse2]) ).
fof(closure_of_product2,axiom,
! [VAR_0,VAR_1,VAR_2] :
( subgroup2_member(VAR_2)
| ~ product(VAR_0,VAR_1,VAR_2)
| ~ subgroup2_member(VAR_1)
| ~ subgroup2_member(VAR_0) ),
file('theBenchmark.p',closure_of_product2) ).
cnf(c_12,plain,
( subgroup2_member(C)
| ~ product(A,B,C)
| ~ subgroup2_member(B)
| ~ subgroup2_member(A) ),
inference(clausify,[status(thm)],[closure_of_product2]) ).
fof(normality1,axiom,
! [VAR_0,VAR_1] :
( subgroup1_member(multiply(VAR_1,multiply(VAR_0,inverse(VAR_1))))
| ~ subgroup1_member(VAR_0) ),
file('theBenchmark.p',normality1) ).
cnf(c_13,plain,
( subgroup1_member(multiply(B,multiply(A,inverse(B))))
| ~ subgroup1_member(A) ),
inference(clausify,[status(thm)],[normality1]) ).
fof(normality2,axiom,
! [VAR_0,VAR_1] :
( subgroup2_member(multiply(VAR_1,multiply(VAR_0,inverse(VAR_1))))
| ~ subgroup2_member(VAR_0) ),
file('theBenchmark.p',normality2) ).
cnf(c_14,plain,
( subgroup2_member(multiply(B,multiply(A,inverse(B))))
| ~ subgroup2_member(A) ),
inference(clausify,[status(thm)],[normality2]) ).
fof(trivial_intersection,axiom,
! [VAR_0] :
( VAR_0 = identity
| ~ subgroup2_member(VAR_0)
| ~ subgroup1_member(VAR_0) ),
file('theBenchmark.p',trivial_intersection) ).
cnf(c_15,plain,
( A = identity
| ~ subgroup2_member(A)
| ~ subgroup1_member(A) ),
inference(clausify,[status(thm)],[trivial_intersection]) ).
cnf(c_16,plain,
( identity = A
| ~ subgroup2_member(A)
| ~ subgroup1_member(A) ),
inference(copy,[status(thm)],[c_15]) ).
fof(v_in_G1,axiom,
subgroup1_member(v),
file('theBenchmark.p',v_in_G1) ).
cnf(c_17,plain,
subgroup1_member(v),
inference(clausify,[status(thm)],[v_in_G1]) ).
fof(u_in_G2,axiom,
subgroup2_member(u),
file('theBenchmark.p',u_in_G2) ).
cnf(c_18,plain,
subgroup2_member(u),
inference(clausify,[status(thm)],[u_in_G2]) ).
fof(prove_vu_equals_uv,axiom,
multiply(v,u) != multiply(u,v),
file('theBenchmark.p',prove_vu_equals_uv) ).
cnf(c_19,plain,
multiply(v,u) != multiply(u,v),
inference(clausify,[status(thm)],[prove_vu_equals_uv]) ).
cnf(c_2423,plain,
( multiply(A,B) = C
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_22,plain,
multiply(A,identity) = A,
inference(resolve,[status(thm)],[c_2423,c_2]) ).
cnf(c_2424,plain,
( multiply(A,B) = C
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_23,plain,
multiply(identity,A) = A,
inference(resolve,[status(thm)],[c_2424,c_1]) ).
cnf(c_2425,plain,
( product(D,C,E)
| ~ product(multiply(D,A),B,E)
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_7,c_5]) ).
cnf(c_2426,plain,
( product(A,multiply(B,C),D)
| ~ product(multiply(A,B),C,D) ),
inference(resolve,[status(thm)],[c_2425,c_5]) ).
cnf(c_25,plain,
product(A,multiply(B,C),multiply(multiply(A,B),C)),
inference(resolve,[status(thm)],[c_2426,c_5]) ).
cnf(c_2427,plain,
( product(A,C,D)
| ~ product(identity,B,D)
| ~ product(inverse(A),B,C) ),
inference(resolve,[status(thm)],[c_7,c_4]) ).
cnf(c_2428,plain,
( product(C,multiply(inverse(C),A),B)
| ~ product(identity,A,B) ),
inference(resolve,[status(thm)],[c_2427,c_5]) ).
cnf(c_2429,plain,
product(A,multiply(inverse(A),B),multiply(identity,B)),
inference(resolve,[status(thm)],[c_2428,c_5]) ).
cnf(c_29,plain,
product(A,multiply(inverse(A),B),B),
inference(paramod,[status(thm)],[c_23,c_2429]) ).
cnf(c_2430,plain,
( product(A,C,D)
| ~ product(identity,B,D)
| ~ product(inverse(A),B,C) ),
inference(resolve,[status(thm)],[c_7,c_4]) ).
cnf(c_2431,plain,
( product(A,identity,B)
| ~ product(identity,inverse(inverse(A)),B) ),
inference(resolve,[status(thm)],[c_2430,c_4]) ).
cnf(c_2432,plain,
product(A,identity,multiply(identity,inverse(inverse(A)))),
inference(resolve,[status(thm)],[c_2431,c_5]) ).
cnf(c_30,plain,
product(A,identity,inverse(inverse(A))),
inference(paramod,[status(thm)],[c_23,c_2432]) ).
cnf(c_2433,plain,
( product(inverse(A),C,D)
| ~ product(identity,B,D)
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_7,c_3]) ).
cnf(c_2434,plain,
( product(inverse(C),multiply(C,A),B)
| ~ product(identity,A,B) ),
inference(resolve,[status(thm)],[c_2433,c_5]) ).
cnf(c_2435,plain,
product(inverse(A),multiply(A,B),multiply(identity,B)),
inference(resolve,[status(thm)],[c_2434,c_5]) ).
cnf(c_31,plain,
product(inverse(A),multiply(A,B),B),
inference(paramod,[status(thm)],[c_23,c_2435]) ).
cnf(c_2436,plain,
( product(multiply(D,A),B,E)
| ~ product(D,C,E)
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_8,c_5]) ).
cnf(c_2437,plain,
( product(multiply(A,B),C,D)
| ~ product(A,multiply(B,C),D) ),
inference(resolve,[status(thm)],[c_2436,c_5]) ).
cnf(c_33,plain,
product(multiply(A,B),C,multiply(A,multiply(B,C))),
inference(resolve,[status(thm)],[c_2437,c_5]) ).
cnf(c_2438,plain,
( product(multiply(D,A),B,E)
| ~ product(D,C,E)
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_8,c_5]) ).
cnf(c_2439,plain,
( product(multiply(A,C),inverse(C),B)
| ~ product(A,identity,B) ),
inference(resolve,[status(thm)],[c_2438,c_4]) ).
cnf(c_2440,plain,
product(multiply(A,B),inverse(B),multiply(A,identity)),
inference(resolve,[status(thm)],[c_2439,c_5]) ).
cnf(c_35,plain,
product(multiply(A,B),inverse(B),A),
inference(paramod,[status(thm)],[c_22,c_2440]) ).
cnf(c_2441,plain,
( product(multiply(D,A),B,E)
| ~ product(D,C,E)
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_8,c_5]) ).
cnf(c_2442,plain,
( product(multiply(A,inverse(C)),C,B)
| ~ product(A,identity,B) ),
inference(resolve,[status(thm)],[c_2441,c_3]) ).
cnf(c_2443,plain,
product(multiply(A,inverse(B)),B,multiply(A,identity)),
inference(resolve,[status(thm)],[c_2442,c_5]) ).
cnf(c_36,plain,
product(multiply(A,inverse(B)),B,A),
inference(paramod,[status(thm)],[c_22,c_2443]) ).
cnf(c_41,plain,
subgroup1_member(multiply(A,multiply(v,inverse(A)))),
inference(resolve,[status(thm)],[c_13,c_17]) ).
cnf(c_44,plain,
subgroup2_member(multiply(A,multiply(u,inverse(A)))),
inference(resolve,[status(thm)],[c_14,c_18]) ).
cnf(c_46,plain,
subgroup2_member(inverse(u)),
inference(resolve,[status(thm)],[c_11,c_18]) ).
cnf(c_2444,plain,
( B = A
| ~ product(A,identity,B) ),
inference(resolve,[status(thm)],[c_6,c_2]) ).
cnf(c_48,plain,
~ product(multiply(u,v),identity,multiply(v,u)),
inference(resolve,[status(thm)],[c_2444,c_19]) ).
cnf(c_2445,plain,
( product(B,C,E)
| ~ product(inverse(A),D,E)
| ~ product(multiply(A,B),C,D) ),
inference(resolve,[status(thm)],[c_8,c_31]) ).
cnf(c_2446,plain,
( product(C,inverse(multiply(A,C)),B)
| ~ product(inverse(A),identity,B) ),
inference(resolve,[status(thm)],[c_2445,c_4]) ).
cnf(c_2447,plain,
product(A,inverse(multiply(B,A)),multiply(inverse(B),identity)),
inference(resolve,[status(thm)],[c_2446,c_5]) ).
cnf(c_119,plain,
product(A,inverse(multiply(B,A)),inverse(B)),
inference(paramod,[status(thm)],[c_22,c_2447]) ).
cnf(c_2448,plain,
( product(A,B,E)
| ~ product(D,inverse(C),E)
| ~ product(A,multiply(B,C),D) ),
inference(resolve,[status(thm)],[c_7,c_35]) ).
cnf(c_2449,plain,
( product(A,B,D)
| ~ product(A,multiply(B,C),multiply(D,C)) ),
inference(resolve,[status(thm)],[c_2448,c_35]) ).
cnf(c_2450,plain,
~ product(multiply(u,v),multiply(identity,A),multiply(multiply(v,u),A)),
inference(resolve,[status(thm)],[c_2449,c_48]) ).
cnf(c_189,plain,
~ product(multiply(u,v),A,multiply(multiply(v,u),A)),
inference(paramod,[status(thm)],[c_23,c_2450]) ).
cnf(c_2451,plain,
( multiply(A,B) = C
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_2452,plain,
multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
inference(resolve,[status(thm)],[c_2451,c_25]) ).
cnf(c_250,plain,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
inference(copy,[status(thm)],[c_2452]) ).
cnf(c_266,plain,
~ product(multiply(u,v),A,multiply(v,multiply(u,A))),
inference(paramod,[status(thm)],[c_250,c_189]) ).
cnf(c_2453,plain,
( product(multiply(D,A),B,E)
| ~ product(D,C,E)
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_8,c_5]) ).
cnf(c_2454,plain,
( product(multiply(A,D),multiply(inverse(D),B),C)
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_2453,c_29]) ).
cnf(c_412,plain,
product(multiply(A,B),multiply(inverse(B),multiply(inverse(A),C)),C),
inference(resolve,[status(thm)],[c_2454,c_29]) ).
cnf(c_2455,plain,
( multiply(A,B) = C
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_2456,plain,
multiply(A,identity) = inverse(inverse(A)),
inference(resolve,[status(thm)],[c_2455,c_30]) ).
cnf(c_2457,plain,
A = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_22,c_2456]) ).
cnf(c_642,plain,
inverse(inverse(A)) = A,
inference(copy,[status(thm)],[c_2457]) ).
cnf(c_2458,plain,
( product(multiply(D,inverse(A)),C,E)
| ~ product(D,B,E)
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_7,c_36]) ).
cnf(c_2459,plain,
( product(multiply(A,inverse(C)),inverse(B),D)
| ~ product(A,inverse(multiply(B,C)),D) ),
inference(resolve,[status(thm)],[c_2458,c_119]) ).
cnf(c_2460,plain,
product(multiply(identity,inverse(A)),inverse(B),inverse(multiply(B,A))),
inference(resolve,[status(thm)],[c_2459,c_1]) ).
cnf(c_1218,plain,
product(inverse(A),inverse(B),inverse(multiply(B,A))),
inference(paramod,[status(thm)],[c_23,c_2460]) ).
cnf(c_1541,plain,
subgroup1_member(multiply(inverse(A),multiply(v,A))),
inference(paramod,[status(thm)],[c_642,c_41]) ).
cnf(c_1553,plain,
subgroup2_member(multiply(inverse(A),multiply(u,A))),
inference(paramod,[status(thm)],[c_642,c_44]) ).
cnf(c_2461,plain,
( multiply(A,B) = C
| ~ product(A,B,C) ),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_2462,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
inference(resolve,[status(thm)],[c_2461,c_1218]) ).
cnf(c_1639,plain,
inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
inference(copy,[status(thm)],[c_2462]) ).
cnf(c_2463,plain,
subgroup1_member(inverse(multiply(inverse(A),multiply(v,A)))),
inference(resolve,[status(thm)],[c_9,c_1541]) ).
cnf(c_2464,plain,
subgroup1_member(multiply(inverse(multiply(v,A)),inverse(inverse(A)))),
inference(paramod,[status(thm)],[c_1639,c_2463]) ).
cnf(c_2465,plain,
subgroup1_member(multiply(multiply(inverse(A),inverse(v)),inverse(inverse(A)))),
inference(paramod,[status(thm)],[c_1639,c_2464]) ).
cnf(c_2466,plain,
subgroup1_member(multiply(multiply(inverse(A),inverse(v)),A)),
inference(paramod,[status(thm)],[c_642,c_2465]) ).
cnf(c_1785,plain,
subgroup1_member(multiply(inverse(A),multiply(inverse(v),A))),
inference(paramod,[status(thm)],[c_250,c_2466]) ).
cnf(c_2467,plain,
( subgroup2_member(B)
| ~ product(inverse(u),A,B)
| ~ subgroup2_member(A) ),
inference(resolve,[status(thm)],[c_12,c_46]) ).
cnf(c_2468,plain,
( subgroup2_member(B)
| ~ product(inverse(u),multiply(inverse(A),multiply(u,A)),B) ),
inference(resolve,[status(thm)],[c_2467,c_1553]) ).
cnf(c_1789,plain,
subgroup2_member(multiply(inverse(u),multiply(inverse(A),multiply(u,A)))),
inference(resolve,[status(thm)],[c_2468,c_5]) ).
cnf(c_2469,plain,
( subgroup1_member(C)
| ~ product(multiply(inverse(B),multiply(inverse(v),B)),A,C)
| ~ subgroup1_member(A) ),
inference(resolve,[status(thm)],[c_10,c_1785]) ).
cnf(c_2470,plain,
( subgroup1_member(B)
| ~ product(multiply(inverse(A),multiply(inverse(v),A)),v,B) ),
inference(resolve,[status(thm)],[c_2469,c_17]) ).
cnf(c_2471,plain,
subgroup1_member(multiply(inverse(A),multiply(multiply(inverse(v),A),v))),
inference(resolve,[status(thm)],[c_2470,c_33]) ).
cnf(c_2006,plain,
subgroup1_member(multiply(inverse(A),multiply(inverse(v),multiply(A,v)))),
inference(paramod,[status(thm)],[c_250,c_2471]) ).
cnf(c_2472,plain,
( product(C,D,F)
| ~ product(multiply(B,A),E,F)
| ~ product(multiply(inverse(A),multiply(inverse(B),C)),D,E) ),
inference(resolve,[status(thm)],[c_8,c_412]) ).
cnf(c_2473,plain,
( product(C,D,multiply(B,multiply(A,E)))
| ~ product(multiply(inverse(A),multiply(inverse(B),C)),D,E) ),
inference(resolve,[status(thm)],[c_2472,c_33]) ).
cnf(c_2393,plain,
~ product(multiply(inverse(u),multiply(inverse(v),multiply(u,v))),A,A),
inference(resolve,[status(thm)],[c_2473,c_266]) ).
cnf(c_2474,plain,
( identity = multiply(inverse(A),multiply(inverse(v),multiply(A,v)))
| ~ subgroup2_member(multiply(inverse(A),multiply(inverse(v),multiply(A,v)))) ),
inference(resolve,[status(thm)],[c_16,c_2006]) ).
cnf(c_2475,plain,
identity = multiply(inverse(u),multiply(inverse(v),multiply(u,v))),
inference(resolve,[status(thm)],[c_2474,c_1789]) ).
cnf(c_2418,plain,
multiply(inverse(u),multiply(inverse(v),multiply(u,v))) = identity,
inference(copy,[status(thm)],[c_2475]) ).
cnf(c_2421,plain,
~ product(identity,A,A),
inference(paramod,[status(thm)],[c_2418,c_2393]) ).
cnf(c_2422,plain,
$false,
inference(resolve,[status(thm)],[c_2421,c_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP617-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.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 15:02:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 693105 was started by sandbox2 on n013,
% 0.09/0.37 % Fri Sep 25 15:02:21 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 24.73/3.60
% 24.73/3.60 % SZS status Unsatisfiable for theBenchmark
% 24.73/3.60
% 24.73/3.60 % Proof 1 at 2.05 (+ 1.12) seconds.
% 24.73/3.60 % Length of proof is 49.
% 24.73/3.60 % Level of proof is 10.
% 24.73/3.60 % Maximum clause weight is 24.000.
% 24.73/3.60 % Given clauses 180.
% 24.73/3.60
% 24.73/3.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
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