%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV594-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 09:08:47 AM UTC 2026
% Result : Unsatisfiable 24.92s 3.62s
% Output : CNFRefutation 24.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 20 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_real__less__def_1,axiom,
! [VAR_0] : ~ c_HOL_Oord__class_Oless(VAR_0,VAR_0,tc_RealDef_Oreal),
file('theBenchmark.p',cls_real__less__def_1) ).
cnf(c_784,plain,
~ c_HOL_Oord__class_Oless(A,A,tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_real__less__def_1]) ).
fof(cls_sin__gt__zero__pi_0,axiom,
! [VAR_0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),VAR_0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(VAR_0,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(VAR_0),tc_RealDef_Oreal) ),
file('theBenchmark.p',cls_sin__gt__zero__pi_0) ).
cnf(c_975,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),A,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(A,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(A),tc_RealDef_Oreal) ),
inference(clausify,[status(thm)],[cls_sin__gt__zero__pi_0]) ).
fof(cls_0_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
file('theBenchmark.p',cls_0_0) ).
cnf(c_986,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_0_0]) ).
fof(cls_CHAINED_0,axiom,
c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
file('theBenchmark.p',cls_CHAINED_0) ).
cnf(c_988,plain,
c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_CHAINED_0]) ).
fof(cls_conjecture_0,axiom,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_989,plain,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_2803,plain,
( ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(v_x),tc_RealDef_Oreal) ),
inference(resolve,[status(thm)],[c_986,c_975]) ).
cnf(c_2804,plain,
( ~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(paramod,[status(thm)],[c_989,c_2803]) ).
cnf(c_2805,plain,
~ c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
inference(resolve,[status(thm)],[c_784,c_2804]) ).
cnf(c_2802,plain,
$false,
inference(resolve,[status(thm)],[c_988,c_2805]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV594-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 14:40:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 2014156 was started by sandbox2 on n001,
% 0.10/0.37 % Sat Sep 26 14:40:44 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.42
% 0.10/0.42 % From the command line: assign(max_seconds, 300).
% 24.92/3.62
% 24.92/3.62 % SZS status Unsatisfiable for theBenchmark
% 24.92/3.62
% 24.92/3.62 % Proof 1 at 2.93 (+ 0.11) seconds.
% 24.92/3.62 % Length of proof is 6.
% 24.92/3.62 % Level of proof is 1.
% 24.92/3.62 % Maximum clause weight is 15.000.
% 24.92/3.62 % Given clauses 299.
% 24.92/3.62
% 24.92/3.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------