%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG409-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 06:50:09 AM UTC 2026
% Result : Unsatisfiable 66.22s 30.13s
% Output : CNFRefutation 66.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 24 unt; 0 def)
% Number of atoms : 41 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_norm__power_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(VAR_1,VAR_2,VAR_0),VAR_0) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(VAR_1,VAR_0),VAR_2,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__div__algebra(VAR_0) ),
file('theBenchmark.p',cls_norm__power_0) ).
cnf(c_342,plain,
( c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(B,C,A),A) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(B,A),C,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__div__algebra(A) ),
inference(clausify,[status(thm)],[cls_norm__power_0]) ).
fof(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
cnf(c_344,plain,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
inference(clausify,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra]) ).
fof(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Oorder) ).
cnf(c_426,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(clausify,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Oorder]) ).
fof(cls_xt1_I7_J_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ c_HOL_Oord__class_Oless(VAR_3,VAR_2,VAR_0)
| ~ c_lessequals(VAR_1,VAR_3,VAR_0)
| c_HOL_Oord__class_Oless(VAR_1,VAR_2,VAR_0)
| ~ class_Orderings_Oorder(VAR_0) ),
file('theBenchmark.p',cls_xt1_I7_J_0) ).
cnf(c_440,plain,
( ~ c_HOL_Oord__class_Oless(D,C,A)
| ~ c_lessequals(B,D,A)
| c_HOL_Oord__class_Oless(B,C,A)
| ~ class_Orderings_Oorder(A) ),
inference(clausify,[status(thm)],[cls_xt1_I7_J_0]) ).
cnf(c_490,plain,
( ~ c_HOL_Oord__class_Oless(C,B,tc_RealDef_Oreal)
| ~ c_lessequals(A,C,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(A,B,tc_RealDef_Oreal) ),
inference(resolve,[status(thm)],[c_440,c_426]) ).
cnf(c_563,plain,
c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),B,tc_RealDef_Oreal),
inference(resolve,[status(thm)],[c_342,c_344]) ).
cnf(c_564,plain,
c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(A,tc_Complex_Ocomplex),B,tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(A,B,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(copy,[status(thm)],[c_563]) ).
fof(cls_real__mult__1_0,axiom,
! [VAR_0] : c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),VAR_0,tc_RealDef_Oreal) = VAR_0,
file('theBenchmark.p',cls_real__mult__1_0) ).
cnf(c_805,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),A,tc_RealDef_Oreal) = A,
inference(clausify,[status(thm)],[cls_real__mult__1_0]) ).
fof(cls_real__mult__commute_0,axiom,
! [VAR_0,VAR_1] : c_HOL_Otimes__class_Otimes(VAR_0,VAR_1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(VAR_1,VAR_0,tc_RealDef_Oreal),
file('theBenchmark.p',cls_real__mult__commute_0) ).
cnf(c_809,plain,
c_HOL_Otimes__class_Otimes(A,B,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(B,A,tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_real__mult__commute_0]) ).
fof(cls_th30_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('theBenchmark.p',cls_th30_0) ).
cnf(c_1078,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_th30_0]) ).
cnf(c_2732,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramod,[status(thm)],[c_564,c_1078]) ).
cnf(c_2733,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramod,[status(thm)],[c_809,c_2732]) ).
cnf(c_2734,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramod,[status(thm)],[c_809,c_2733]) ).
cnf(c_1079,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramod,[status(thm)],[c_805,c_2734]) ).
fof(cls_CHAINED_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('theBenchmark.p',cls_CHAINED_0) ).
cnf(c_1139,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_CHAINED_0]) ).
cnf(c_2735,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramod,[status(thm)],[c_564,c_1139]) ).
cnf(c_1140,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramod,[status(thm)],[c_809,c_2735]) ).
fof(cls_conjecture_0,axiom,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_1142,plain,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_2736,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(v_m____,c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(v_w____,c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),A,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),A,tc_RealDef_Oreal) ),
inference(resolve,[status(thm)],[c_490,c_1140]) ).
cnf(c_2737,plain,
c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),v_k____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_s____,c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(v_t____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolve,[status(thm)],[c_2736,c_1079]) ).
cnf(c_2731,plain,
$false,
inference(resolve,[status(thm)],[c_1142,c_2737]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG409-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.40 % Computer : n004.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.11/10.40 % WCLimit : 300
% 0.11/10.40 % DateTime : Sat Sep 26 21:58:36 UTC 2026
% 0.13/10.40 % CPUTime :
% 0.13/10.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/10.40 % Process 2709243 was started by sandbox on n004,
% 0.13/10.40 % Sat Sep 26 21:58:36 2026
% 0.13/10.40 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/10.44
% 0.13/10.44 % From the command line: assign(max_seconds, 300).
% 66.22/30.13
% 66.22/30.13 % SZS status Unsatisfiable for theBenchmark
% 66.22/30.13
% 66.22/30.13 % Proof 1 at 1.40 (+ 0.06) seconds.
% 66.22/30.13 % Length of proof is 15.
% 66.22/30.13 % Level of proof is 4.
% 66.22/30.13 % Maximum clause weight is 94.000.
% 66.22/30.13 % Given clauses 379.
% 66.22/30.13
% 66.22/30.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------