%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG128-1 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:05:04 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.55s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 79 ( 79 unt; 2 def)
% Number of atoms : 79 ( 78 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 : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : add(A,add(B,C)) = add(add(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : add(A,B) = add(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(A,B) = mult(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : mult(A,add(B,C)) = add(mult(A,B),mult(A,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] : add(zero,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] : add(unit,add(A,mult(A,A))) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
add(x0,x1) != mult(x0,x1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : mult(X0,add(X1,X2)) = add(mult(X0,X1),mult(X0,X2)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0] : add(zero,X0) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0] : mult(X0,unit) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0] : add(unit,add(X0,mult(X0,X0))) = X0,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
add(x0,x1) != mult(x0,x1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f17,definition,
sF0_fnc = add(x0,x1),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f18,definition,
sF1_fnc = mult(x0,x1),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f19,plain,
sF0_fnc != sF1_fnc,
inference(definition_folding,[],[f16,f18,f17]) ).
fof(f20,plain,
! [X0] : X0 = add(X0,zero),
inference(paramodulation,[status(thm)],[f13,f10]) ).
fof(f28,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f31,plain,
! [X0] : add(x0,add(x1,X0)) = add(sF0_fnc,X0),
inference(paramodulation,[status(thm)],[f17,f9]) ).
fof(f65,plain,
add(unit,mult(zero,zero)) = zero,
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f70,plain,
! [X0] : add(unit,add(mult(zero,zero),X0)) = add(zero,X0),
inference(paramodulation,[status(thm)],[f65,f9]) ).
fof(f71,plain,
! [X0] : add(unit,add(mult(zero,zero),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f13,f70]) ).
fof(f78,plain,
! [X0,X1] : mult(X0,add(unit,X1)) = add(X0,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f14,f12]) ).
fof(f83,plain,
! [X0,X1] : mult(X0,add(X1,unit)) = add(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f14,f12]) ).
fof(f96,plain,
! [X0] : add(x0,add(X0,x1)) = add(sF0_fnc,X0),
inference(paramodulation,[status(thm)],[f10,f31]) ).
fof(f114,plain,
! [X0] : add(unit,mult(zero,add(zero,X0))) = mult(zero,X0),
inference(paramodulation,[status(thm)],[f12,f71]) ).
fof(f120,plain,
mult(zero,zero) = zero,
inference(backward_demodulation,[status(thm)],[f121,f65]) ).
fof(f121,plain,
! [X0] : add(unit,mult(zero,X0)) = mult(zero,X0),
inference(forward_demodulation,[status(thm)],[f13,f114]) ).
fof(f123,plain,
! [X0] : add(unit,add(zero,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f120,f71]) ).
fof(f127,plain,
! [X0] : add(X0,mult(X0,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f133,f15]) ).
fof(f132,plain,
! [X0,X1] : mult(X0,X1) = add(X0,mult(X0,X1)),
inference(backward_demodulation,[status(thm)],[f133,f78]) ).
fof(f133,plain,
! [X0] : add(unit,X0) = X0,
inference(forward_demodulation,[status(thm)],[f13,f123]) ).
fof(f137,plain,
! [X0] : mult(X0,X0) = X0,
inference(backward_demodulation,[status(thm)],[f132,f127]) ).
fof(f146,plain,
! [X0,X1] : mult(X0,add(X0,X1)) = add(X0,mult(X0,X1)),
inference(paramodulation,[status(thm)],[f137,f12]) ).
fof(f147,plain,
! [X0,X1] : mult(X0,add(X0,X1)) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f132,f146]) ).
fof(f148,plain,
unit = zero,
inference(paramodulation,[status(thm)],[f20,f133]) ).
fof(f158,plain,
! [X0] : mult(X0,zero) = X0,
inference(backward_demodulation,[status(thm)],[f148,f14]) ).
fof(f159,plain,
! [X0,X1] : mult(X0,add(X1,zero)) = add(mult(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f148,f83]) ).
fof(f167,plain,
! [X0,X1] : mult(X0,X1) = add(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f20,f159]) ).
fof(f196,plain,
! [X0] : mult(X0,zero) = add(X0,X0),
inference(paramodulation,[status(thm)],[f158,f167]) ).
fof(f198,plain,
! [X0,X1] : mult(X0,X1) = add(mult(X1,X0),X0),
inference(paramodulation,[status(thm)],[f11,f167]) ).
fof(f207,plain,
! [X0] : X0 = add(X0,X0),
inference(forward_demodulation,[status(thm)],[f158,f196]) ).
fof(f213,plain,
add(x0,x1) = add(sF0_fnc,x1),
inference(paramodulation,[status(thm)],[f207,f31]) ).
fof(f220,plain,
sF0_fnc = add(sF0_fnc,x1),
inference(forward_demodulation,[status(thm)],[f17,f213]) ).
fof(f230,plain,
add(x0,sF0_fnc) = add(sF0_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f220,f96]) ).
fof(f234,plain,
add(x0,sF0_fnc) = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f207,f230]) ).
fof(f363,plain,
! [X0,X1] : mult(X0,X1) = add(X0,mult(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f132]) ).
fof(f376,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,add(X1,mult(X0,X1))),
inference(paramodulation,[status(thm)],[f12,f363]) ).
fof(f381,plain,
mult(x1,x0) = add(x1,sF1_fnc),
inference(paramodulation,[status(thm)],[f18,f363]) ).
fof(f392,plain,
! [X0,X1,X2] : add(X0,mult(X1,X2)) = add(mult(X2,X1),add(X0,X1)),
inference(paramodulation,[status(thm)],[f363,f28]) ).
fof(f394,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f363,f376]) ).
fof(f404,plain,
mult(x0,x1) = add(x0,add(x1,sF1_fnc)),
inference(paramodulation,[status(thm)],[f381,f363]) ).
fof(f414,plain,
sF1_fnc = add(x0,add(x1,sF1_fnc)),
inference(forward_demodulation,[status(thm)],[f18,f404]) ).
fof(f415,plain,
sF1_fnc = add(sF0_fnc,sF1_fnc),
inference(forward_demodulation,[status(thm)],[f31,f414]) ).
fof(f655,plain,
! [X0,X1] : mult(mult(X0,X1),mult(X0,X1)) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f167,f147]) ).
fof(f661,plain,
mult(x0,sF0_fnc) = mult(x0,x1),
inference(paramodulation,[status(thm)],[f17,f147]) ).
fof(f674,plain,
! [X0,X1] : mult(add(X0,X1),X0) = add(mult(X0,X1),add(X0,X1)),
inference(paramodulation,[status(thm)],[f147,f198]) ).
fof(f684,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f137,f655]) ).
fof(f686,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f394,f684]) ).
fof(f690,plain,
mult(x0,sF0_fnc) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f18,f661]) ).
fof(f695,plain,
! [X0,X1] : mult(add(X0,X1),X0) = add(X0,mult(X1,X0)),
inference(forward_demodulation,[status(thm)],[f392,f674]) ).
fof(f696,plain,
! [X0,X1] : mult(add(X0,X1),X0) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f363,f695]) ).
fof(f847,plain,
mult(sF0_fnc,x0) = add(sF1_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f690,f198]) ).
fof(f848,plain,
mult(sF0_fnc,x0) = add(sF0_fnc,sF1_fnc),
inference(paramodulation,[status(thm)],[f690,f363]) ).
fof(f853,plain,
add(sF1_fnc,sF0_fnc) = add(sF0_fnc,sF1_fnc),
inference(forward_demodulation,[status(thm)],[f847,f848]) ).
fof(f855,plain,
add(sF1_fnc,sF0_fnc) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f415,f853]) ).
fof(f946,plain,
mult(sF1_fnc,sF1_fnc) = mult(sF1_fnc,sF0_fnc),
inference(paramodulation,[status(thm)],[f855,f147]) ).
fof(f954,plain,
sF1_fnc = mult(sF1_fnc,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f137,f946]) ).
fof(f956,plain,
sF1_fnc = mult(sF0_fnc,sF1_fnc),
inference(paramodulation,[status(thm)],[f11,f954]) ).
fof(f994,plain,
mult(sF0_fnc,x0) = mult(sF0_fnc,sF1_fnc),
inference(paramodulation,[status(thm)],[f690,f686]) ).
fof(f1019,plain,
mult(sF0_fnc,x0) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f956,f994]) ).
fof(f1416,plain,
! [X0,X1] : mult(add(X0,X1),X1) = mult(X1,X0),
inference(paramodulation,[status(thm)],[f10,f696]) ).
fof(f1495,plain,
mult(sF0_fnc,sF0_fnc) = mult(sF0_fnc,x0),
inference(paramodulation,[status(thm)],[f234,f1416]) ).
fof(f1540,plain,
sF0_fnc = mult(sF0_fnc,x0),
inference(forward_demodulation,[status(thm)],[f137,f1495]) ).
fof(f1541,plain,
sF0_fnc = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f1019,f1540]) ).
fof(f1542,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1541,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG128-1 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % Computer : n016.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 21 04:27:07 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.17/0.55 % Refutation found
% 0.17/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.59 % Elapsed time: 0.197871 seconds
% 0.17/0.59 % CPU time: 1.210941 seconds
% 0.17/0.59 % Total memory used: 15.904 MB
% 0.17/0.59 % Net memory used: 15.535 MB
%------------------------------------------------------------------------------