%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP702-12 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /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 : Thu Sep 24 12:35:10 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.40s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 41 unt; 4 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : mult(A,mult(op_c,B)) = mult(mult(A,op_c),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] : op_d = ld(A,mult(op_c,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] : op_e = mult(mult(rd(op_c,mult(A,B)),B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
mult(x0,mult(op_d,x1)) != mult(mult(x0,op_d),x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f17,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
! [X0] : mult(unit,X0) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(mult(X0,op_c),X1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
mult(x0,mult(op_d,x1)) != mult(mult(x0,op_d),x1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f29,definition,
sF1_fnc = mult(op_d,x1),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f30,definition,
sF0_fnc = mult(x0,sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f31,definition,
sF3_fnc = mult(x0,op_d),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f32,definition,
sF2_fnc = mult(sF3_fnc,x1),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f33,plain,
sF0_fnc != sF2_fnc,
inference(definition_folding,[],[f28,f32,f31,f30,f29]) ).
fof(f461,plain,
! [X0] : ld(unit,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f15]) ).
fof(f469,plain,
! [X0] : mult(X0,op_d) = mult(op_c,X0),
inference(paramodulation,[status(thm)],[f25,f15]) ).
fof(f500,plain,
op_d = mult(op_c,unit),
inference(paramodulation,[status(thm)],[f25,f461]) ).
fof(f503,plain,
op_d = op_c,
inference(forward_demodulation,[status(thm)],[f19,f500]) ).
fof(f773,plain,
! [X0,X1] : mult(X0,mult(op_d,X1)) = mult(mult(X0,op_c),X1),
inference(forward_demodulation,[status(thm)],[f503,f24]) ).
fof(f777,plain,
! [X0,X1] : mult(X0,mult(op_d,X1)) = mult(mult(X0,op_d),X1),
inference(forward_demodulation,[status(thm)],[f503,f773]) ).
fof(f795,plain,
! [X0] : mult(x0,mult(op_d,X0)) = mult(sF3_fnc,X0),
inference(paramodulation,[status(thm)],[f31,f777]) ).
fof(f887,plain,
! [X0] : mult(X0,op_d) = mult(op_d,X0),
inference(forward_demodulation,[status(thm)],[f503,f469]) ).
fof(f899,plain,
mult(x1,op_d) = sF1_fnc,
inference(paramodulation,[status(thm)],[f29,f887]) ).
fof(f1346,plain,
! [X0,X1] : op_e = mult(mult(rd(op_d,mult(X0,X1)),X1),X0),
inference(forward_demodulation,[status(thm)],[f503,f26]) ).
fof(f1356,plain,
op_e = mult(mult(rd(op_d,sF1_fnc),op_d),x1),
inference(paramodulation,[status(thm)],[f899,f1346]) ).
fof(f1414,plain,
op_e = mult(rd(op_d,sF1_fnc),mult(op_d,x1)),
inference(forward_demodulation,[status(thm)],[f777,f1356]) ).
fof(f1415,plain,
op_e = mult(rd(op_d,sF1_fnc),sF1_fnc),
inference(forward_demodulation,[status(thm)],[f29,f1414]) ).
fof(f1416,plain,
op_e = op_d,
inference(forward_demodulation,[status(thm)],[f17,f1415]) ).
fof(f1598,plain,
sF1_fnc = mult(op_e,x1),
inference(backward_demodulation,[status(thm)],[f1416,f29]) ).
fof(f2579,plain,
! [X0] : mult(x0,mult(op_e,X0)) = mult(sF3_fnc,X0),
inference(forward_demodulation,[status(thm)],[f1416,f795]) ).
fof(f2583,plain,
mult(x0,sF1_fnc) = mult(sF3_fnc,x1),
inference(paramodulation,[status(thm)],[f1598,f2579]) ).
fof(f2605,plain,
sF0_fnc = mult(sF3_fnc,x1),
inference(forward_demodulation,[status(thm)],[f30,f2583]) ).
fof(f2606,plain,
sF0_fnc = sF2_fnc,
inference(forward_demodulation,[status(thm)],[f32,f2605]) ).
fof(f2607,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2606,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP702-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:39:12 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.40 % Refutation found
% 0.02/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.44 % Elapsed time: 0.067999 seconds
% 0.02/0.44 % CPU time: 0.132633 seconds
% 0.02/0.44 % Total memory used: 5.304 MB
% 0.02/0.44 % Net memory used: 5.217 MB
%------------------------------------------------------------------------------