%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV596-1 : 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 : n018.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 09:08:48 AM UTC 2026
% Result : Unsatisfiable 19.56s 2.98s
% Output : CNFRefutation 19.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 18 unt; 0 def)
% Number of atoms : 30 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_647,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_CHAINED_0_01,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('theBenchmark.p',cls_CHAINED_0_01) ).
cnf(c_648,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_CHAINED_0_01]) ).
fof(cls_CHAINED_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('theBenchmark.p',cls_CHAINED_0) ).
cnf(c_649,plain,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_CHAINED_0]) ).
fof(cls_sin__periodic__pi__diff_0,axiom,
! [VAR_0] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(VAR_0,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(VAR_0),tc_RealDef_Oreal),
file('theBenchmark.p',cls_sin__periodic__pi__diff_0) ).
cnf(c_662,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(A,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_sin__periodic__pi__diff_0]) ).
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_664,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_sin__minus_0,axiom,
! [VAR_0] : c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(VAR_0,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(VAR_0),tc_RealDef_Oreal),
file('theBenchmark.p',cls_sin__minus_0) ).
cnf(c_688,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_sin__minus_0]) ).
cnf(c_689,plain,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(A),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal)),
inference(copy,[status(thm)],[c_688]) ).
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_888,plain,
~ c_HOL_Oord__class_Oless(A,A,tc_RealDef_Oreal),
inference(clausify,[status(thm)],[cls_real__less__def_1]) ).
cnf(c_2299,plain,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(paramod,[status(thm)],[c_662,c_647]) ).
cnf(c_2134,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(paramod,[status(thm)],[c_689,c_2299]) ).
cnf(c_2136,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(A,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(A,tc_RealDef_Oreal)),
inference(paramod,[status(thm)],[c_689,c_662]) ).
cnf(c_2300,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
inference(resolve,[status(thm)],[c_664,c_649]) ).
cnf(c_2301,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
inference(paramod,[status(thm)],[c_2136,c_2300]) ).
cnf(c_2302,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),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_2134,c_2301]) ).
cnf(c_2303,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolve,[status(thm)],[c_888,c_2302]) ).
cnf(c_2298,plain,
$false,
inference(resolve,[status(thm)],[c_648,c_2303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV596-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 14:37:22 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.38 % Process 669325 was started by sandbox on n018,
% 0.12/0.38 % Sat Sep 26 14:37:22 2026
% 0.12/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.42
% 0.12/0.42 % From the command line: assign(max_seconds, 300).
% 19.56/2.98
% 19.56/2.98 % SZS status Unsatisfiable for theBenchmark
% 19.56/2.98
% 19.56/2.98 % Proof 1 at 2.45 (+ 0.08) seconds.
% 19.56/2.98 % Length of proof is 11.
% 19.56/2.98 % Level of proof is 3.
% 19.56/2.98 % Maximum clause weight is 25.000.
% 19.56/2.98 % Given clauses 81.
% 19.56/2.98
% 19.56/2.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------