%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN083+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 03:15:11 PM UTC 2026
% Result : Theorem 0.08s 0.36s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 22 unt; 6 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 20 ( 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : f(X,f(Y,Z)) = f(f(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ! [X,Y,Z,W] : f(X,f(Y,f(Z,W))) = f(f(f(X,Y),Z),W),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
! [X0,X1,X2] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
? [X,Y,Z,W] : f(X,f(Y,f(Z,W))) != f(f(f(X,Y),Z),W),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f6,plain,
f(sK0_skl,f(sK1_skl,f(sK2_skl,sK3_skl))) != f(f(f(sK0_skl,sK1_skl),sK2_skl),sK3_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(Z,sK2_skl),skolemize(W,sK3_skl)],[f5]) ).
fof(f7,plain,
f(sK0_skl,f(sK1_skl,f(sK2_skl,sK3_skl))) != f(f(f(sK0_skl,sK1_skl),sK2_skl),sK3_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,definition,
sF2_fnc = f(sK2_skl,sK3_skl),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f9,definition,
sF1_fnc = f(sK1_skl,sF2_fnc),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f10,definition,
sF0_fnc = f(sK0_skl,sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f11,definition,
sF5_fnc = f(sK0_skl,sK1_skl),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f12,definition,
sF4_fnc = f(sF5_fnc,sK2_skl),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f13,definition,
sF3_fnc = f(sF4_fnc,sK3_skl),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f14,plain,
sF0_fnc != sF3_fnc,
inference(definition_folding,[],[f7,f13,f12,f11,f10,f9,f8]) ).
fof(f17,plain,
! [X0] : f(sF5_fnc,f(sK2_skl,X0)) = f(sF4_fnc,X0),
inference(paramodulation,[status(thm)],[f12,f4]) ).
fof(f18,plain,
! [X0] : f(sK0_skl,f(sK1_skl,X0)) = f(sF5_fnc,X0),
inference(paramodulation,[status(thm)],[f11,f4]) ).
fof(f27,plain,
f(sF5_fnc,sF2_fnc) = f(sF4_fnc,sK3_skl),
inference(paramodulation,[status(thm)],[f8,f17]) ).
fof(f29,plain,
f(sF5_fnc,sF2_fnc) = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f13,f27]) ).
fof(f33,plain,
f(sK0_skl,sF1_fnc) = f(sF5_fnc,sF2_fnc),
inference(paramodulation,[status(thm)],[f9,f18]) ).
fof(f35,plain,
sF0_fnc = f(sF5_fnc,sF2_fnc),
inference(forward_demodulation,[status(thm)],[f10,f33]) ).
fof(f36,plain,
sF0_fnc = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f29,f35]) ).
fof(f37,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f36,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN083+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:42:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.39 % Elapsed time: 0.035301 seconds
% 0.12/0.39 % CPU time: 0.028978 seconds
% 0.12/0.39 % Total memory used: 410.768 KB
% 0.12/0.39 % Net memory used: 383.376 KB
%------------------------------------------------------------------------------