%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : BOO017-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:06:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.70s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 44 unt; 1 def)
% Number of atoms : 44 ( 43 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : add(X,inverse(X)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : multiply(X,multiplicative_identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : multiply(multiplicative_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : add(additive_identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
add(x,y) = z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
multiply(x,z) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f18,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f19,plain,
! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f27,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f30,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f31,plain,
add(x,y) = z,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f32,plain,
multiply(x,z) != x,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f33,definition,
sF0_fnc = multiply(x,z),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f34,plain,
sF0_fnc != x,
inference(definition_folding,[],[f32,f33]) ).
fof(f35,plain,
sF0_fnc = multiply(z,x),
inference(paramodulation,[status(thm)],[f33,f18]) ).
fof(f73,plain,
! [X0,X1] : add(X0,multiply(X1,X1)) = add(multiply(X0,X0),X1),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f167,plain,
! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f254,plain,
! [X0] : add(multiply(additive_identity,additive_identity),X0) = multiply(X0,X0),
inference(paramodulation,[status(thm)],[f73,f30]) ).
fof(f335,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(paramodulation,[status(thm)],[f23,f20]) ).
fof(f339,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f27,f335]) ).
fof(f870,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(paramodulation,[status(thm)],[f28,f339]) ).
fof(f899,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[status(thm)],[f23,f870]) ).
fof(f969,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(paramodulation,[status(thm)],[f17,f899]) ).
fof(f1402,plain,
! [X0,X1] : multiply(add(multiplicative_identity,X0),X1) = add(X1,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f28,f167]) ).
fof(f1459,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f969,f1402]) ).
fof(f1460,plain,
! [X0,X1] : X0 = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f28,f1459]) ).
fof(f1558,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(paramodulation,[status(thm)],[f30,f1460]) ).
fof(f1623,plain,
! [X0] : add(additive_identity,X0) = multiply(X0,X0),
inference(backward_demodulation,[status(thm)],[f1558,f254]) ).
fof(f1658,plain,
! [X0] : X0 = multiply(X0,X0),
inference(forward_demodulation,[status(thm)],[f30,f1623]) ).
fof(f1714,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f1658,f167]) ).
fof(f1725,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = X0,
inference(forward_demodulation,[status(thm)],[f1460,f1714]) ).
fof(f2136,plain,
multiply(z,x) = x,
inference(paramodulation,[status(thm)],[f31,f1725]) ).
fof(f2192,plain,
sF0_fnc = x,
inference(forward_demodulation,[status(thm)],[f35,f2136]) ).
fof(f2193,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2192,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO017-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.59 % Computer : n017.cluster.edu
% 0.09/10.59 % Model : x86_64 x86_64
% 0.09/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.59 % Memory : 8046.5625MB
% 0.09/10.59 % OS : Linux 6.8.0-71-generic
% 0.09/10.59 % CPULimit : 300
% 0.09/10.59 % WCLimit : 300
% 0.09/10.59 % DateTime : Mon Sep 21 13:43:53 UTC 2026
% 0.09/10.59 % CPUTime :
% 0.14/10.60 % Drodi V4.1.1
% 0.14/10.70 % Refutation found
% 0.14/10.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.72 % Elapsed time: 0.110056 seconds
% 0.14/10.72 % CPU time: 0.773070 seconds
% 0.14/10.72 % Total memory used: 20.887 MB
% 0.14/10.72 % Net memory used: 20.572 MB
%------------------------------------------------------------------------------