%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA017-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:58:32 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.93s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 44 unt; 2 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-4 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,State] : ifeq(differ(X,table),true,ifeq(holds(empty,State),true,ifeq(holds(clear(X),State),true,holds(holding(X),do(pickup(X),State)),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Z,State] : ifeq(differ(X,Z),true,ifeq(holds(clear(X),State),true,holds(clear(X),do(pickup(Z),State)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,State,Y] : ifeq(holds(holding(X),State),true,ifeq(holds(clear(Y),State),true,holds(on(X,Y),do(putdown(X,Y),State)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [Y,X] : ifeq(differ(Y,X),true,differ(X,Y),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
differ(a,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
differ(a,table) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
holds(clear(a),s0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
holds(clear(c),s0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
holds(empty,s0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [State] : holds(on(a,c),State) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
! [X0,X1] : ifeq(differ(X0,table),true,ifeq(holds(empty,X1),true,ifeq(holds(clear(X0),X1),true,holds(holding(X0),do(pickup(X0),X1)),true),true),true) = true,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f38,plain,
! [X0,X1,X2] : ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(pickup(X1),X2)),true),true) = true,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f40,plain,
! [X0,X1,X2] : ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(on(X0,X2),do(putdown(X0,X2),X1)),true),true) = true,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f44,plain,
! [X0,X1] : ifeq(differ(X0,X1),true,differ(X1,X0),true) = true,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f46,plain,
differ(a,c) = true,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f48,plain,
differ(a,table) = true,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f59,plain,
holds(clear(a),s0) = true,
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f61,plain,
holds(clear(c),s0) = true,
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f62,plain,
holds(empty,s0) = true,
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f64,plain,
! [X0] : holds(on(a,c),X0) != true,
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f65,definition,
sF1_fnc = on(a,c),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f66,definition,
! [X0] : sF0_fnc(X0) = holds(sF1_fnc,X0),
introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition]) ).
fof(f67,plain,
! [X0] : sF0_fnc(X0) != true,
inference(definition_folding,[],[f64,f66,f65]) ).
fof(f110,plain,
ifeq(differ(a,table),true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true),true) = true,
inference(paramodulation,[status(thm)],[f59,f35]) ).
fof(f122,plain,
ifeq(true,true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f48,f110]) ).
fof(f123,plain,
ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true) = true,
inference(forward_demodulation,[status(thm)],[f33,f122]) ).
fof(f124,plain,
ifeq(true,true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true) = true,
inference(forward_demodulation,[status(thm)],[f62,f123]) ).
fof(f125,plain,
ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true) = true,
inference(forward_demodulation,[status(thm)],[f33,f124]) ).
fof(f126,plain,
holds(holding(a),do(pickup(a),s0)) = true,
inference(forward_demodulation,[status(thm)],[f33,f125]) ).
fof(f474,plain,
ifeq(true,true,differ(c,a),true) = true,
inference(paramodulation,[status(thm)],[f46,f44]) ).
fof(f494,plain,
differ(c,a) = true,
inference(forward_demodulation,[status(thm)],[f33,f474]) ).
fof(f521,plain,
! [X0] : ifeq(differ(c,X0),true,ifeq(true,true,holds(clear(c),do(pickup(X0),s0)),true),true) = true,
inference(paramodulation,[status(thm)],[f61,f38]) ).
fof(f543,plain,
! [X0] : ifeq(differ(c,X0),true,holds(clear(c),do(pickup(X0),s0)),true) = true,
inference(forward_demodulation,[status(thm)],[f33,f521]) ).
fof(f565,plain,
! [X0] : ifeq(holds(holding(a),X0),true,ifeq(holds(clear(c),X0),true,holds(sF1_fnc,do(putdown(a,c),X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f65,f40]) ).
fof(f572,plain,
! [X0] : ifeq(holds(holding(a),X0),true,ifeq(holds(clear(c),X0),true,sF0_fnc(do(putdown(a,c),X0)),true),true) = true,
inference(forward_demodulation,[status(thm)],[f66,f565]) ).
fof(f4119,plain,
ifeq(true,true,holds(clear(c),do(pickup(a),s0)),true) = true,
inference(paramodulation,[status(thm)],[f494,f543]) ).
fof(f4124,plain,
holds(clear(c),do(pickup(a),s0)) = true,
inference(forward_demodulation,[status(thm)],[f33,f4119]) ).
fof(f4193,plain,
ifeq(holds(holding(a),do(pickup(a),s0)),true,ifeq(true,true,sF0_fnc(do(putdown(a,c),do(pickup(a),s0))),true),true) = true,
inference(paramodulation,[status(thm)],[f4124,f572]) ).
fof(f4219,plain,
ifeq(true,true,ifeq(true,true,sF0_fnc(do(putdown(a,c),do(pickup(a),s0))),true),true) = true,
inference(forward_demodulation,[status(thm)],[f126,f4193]) ).
fof(f4220,plain,
ifeq(true,true,sF0_fnc(do(putdown(a,c),do(pickup(a),s0))),true) = true,
inference(forward_demodulation,[status(thm)],[f33,f4219]) ).
fof(f4221,plain,
sF0_fnc(do(putdown(a,c),do(pickup(a),s0))) = true,
inference(forward_demodulation,[status(thm)],[f33,f4220]) ).
fof(f4222,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4221,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PLA017-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.64 % Computer : n008.cluster.edu
% 0.18/0.64 % Model : x86_64 x86_64
% 0.18/0.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.64 % Memory : 8046.5625MB
% 0.18/0.64 % OS : Linux 6.8.0-71-generic
% 0.18/0.64 % CPULimit : 300
% 0.18/0.64 % WCLimit : 300
% 0.18/0.64 % DateTime : Mon Sep 21 03:33:09 UTC 2026
% 0.18/0.64 % CPUTime :
% 0.22/0.65 % Drodi V4.1.1
% 0.22/0.93 % Refutation found
% 0.22/0.93 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.93 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.98 % Elapsed time: 0.314694 seconds
% 0.22/0.98 % CPU time: 2.358092 seconds
% 0.22/0.98 % Total memory used: 80.152 MB
% 0.22/0.98 % Net memory used: 79.025 MB
%------------------------------------------------------------------------------