%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV592-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 : Thu Sep 24 02:49:11 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.52s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f446,axiom,
! [V_x] : c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f823,axiom,
! [V_y,V_z] : V_y = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,V_z,tc_RealDef_Oreal),V_z,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f824,axiom,
! [V_x,V_z] : V_x = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,V_z,tc_RealDef_Oreal),V_z,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f846,axiom,
! [V_r,V_s] : c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f847,axiom,
c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f849,axiom,
! [V_x] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f851,axiom,
! [V_x] : c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f862,negated_conjecture,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1650,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f2252,plain,
! [X0,X1] : X0 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f823]) ).
fof(f2253,plain,
! [X0,X1] : X0 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f2292,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f2293,plain,
c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f847]) ).
fof(f2295,plain,
! [X0] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X0,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X0),tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f849]) ).
fof(f2298,plain,
! [X0] : c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X0),tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f851]) ).
fof(f2319,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f862]) ).
fof(f2419,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Osin(c_Transcendental_Opi),
inference(forward_demodulation,[status(thm)],[f2293,f1650]) ).
fof(f2420,plain,
! [X0] : X0 = c_HOL_Ominus__class_Ominus(c_Transcendental_Osin(c_Transcendental_Opi),c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(paramodulation,[status(thm)],[f2419,f2253]) ).
fof(f2429,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
inference(backward_demodulation,[status(thm)],[f2298,f2319]) ).
fof(f2499,plain,
! [X0] : c_HOL_Ominus__class_Ominus(X0,X0,tc_RealDef_Oreal) = c_Transcendental_Osin(c_Transcendental_Opi),
inference(backward_demodulation,[status(thm)],[f2292,f2419]) ).
fof(f2513,plain,
! [X0] : X0 = c_HOL_Oplus__class_Oplus(c_Transcendental_Osin(c_Transcendental_Opi),X0,tc_RealDef_Oreal),
inference(paramodulation,[status(thm)],[f2499,f2252]) ).
fof(f2516,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_Transcendental_Osin(c_Transcendental_Opi),X0,tc_RealDef_Oreal),
inference(paramodulation,[status(thm)],[f2292,f2513]) ).
fof(f2564,plain,
! [X0] : X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(backward_demodulation,[status(thm)],[f2516,f2420]) ).
fof(f2671,plain,
! [X0] : c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X0,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)),
inference(forward_demodulation,[status(thm)],[f2298,f2295]) ).
fof(f2675,plain,
! [X0] : c_Transcendental_Osin(X0) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(paramodulation,[status(thm)],[f2252,f2671]) ).
fof(f2767,plain,
! [X0] : c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X0),tc_RealDef_Oreal),
inference(paramodulation,[status(thm)],[f2675,f2298]) ).
fof(f2772,plain,
! [X0] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X0,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X0),tc_RealDef_Oreal),
inference(forward_demodulation,[status(thm)],[f2564,f2767]) ).
fof(f2773,plain,
! [X0] : c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X0,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal)),
inference(forward_demodulation,[status(thm)],[f2298,f2772]) ).
fof(f2897,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
inference(backward_demodulation,[status(thm)],[f2773,f2429]) ).
fof(f2906,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2897]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV592-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 % Computer : n011.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 09:12:40 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.17/0.49 % Drodi V4.1.1
% 0.17/0.52 % Refutation found
% 0.17/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.29/0.58 % Elapsed time: 0.185904 seconds
% 0.29/0.58 % CPU time: 0.355670 seconds
% 0.29/0.58 % Total memory used: 62.179 MB
% 0.29/0.58 % Net memory used: 61.893 MB
%------------------------------------------------------------------------------