%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD005-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -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 12:22:16 PM UTC 2026
% Result : Unsatisfiable 5.34s 1.15s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD005-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 15:41:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 5.34/1.15 % Refutation found
% 5.34/1.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.34/1.15 % SZS output start CNFRefutation for theBenchmark
% 5.34/1.15 fof(f1,axiom,(
% 5.34/1.15 (![X,Y,Z]: (( equalish(add(X,add(Y,Z)),add(add(X,Y),Z))| ~ defined(X)| ~ defined(Y)| ~ defined(Z) ) ))),
% 5.34/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.34/1.15 fof(f2,axiom,(
% 5.34/1.15 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 5.34/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.34/1.15 fof(f3,axiom,(
% 5.34/1.15 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 5.34/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.34/1.15 fof(f12,axiom,(
% 5.34/1.15 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 5.34/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.34/1.15 fof(f23,axiom,(
% 5.34/1.15 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 5.34/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.34/1.15 fof(f24,axiom,(
% 5.34/1.15 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 5.34/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.34/1.15 fof(f28,hypothesis,(
% 5.34/1.15 defined(a) ),
% 5.34/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.34/1.15 fof(f29,hypothesis,(
% 5.34/1.15 defined(b) ),
% 5.34/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.34/1.15 fof(f30,negated_conjecture,(
% 5.34/1.15 (![X]: (~ equalish(add(a,X),b) ))),
% 5.34/1.15 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.34/1.15 fof(f31,plain,(
% 5.34/1.15 ![Z]: ((![Y]: ((![X]: (equalish(add(X,add(Y,Z)),add(add(X,Y),Z))|~defined(X)))|~defined(Y)))|~defined(Z))),
% 5.34/1.15 inference(miniscoping,[status(thm)],[f1])).
% 5.34/1.15 fof(f32,plain,(
% 5.34/1.15 ![X0,X1,X2]: (equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2))|~defined(X0)|~defined(X1)|~defined(X2))),
% 5.34/1.15 inference(cnf_transformation,[status(thm)],[f31])).
% 5.34/1.15 fof(f33,plain,(
% 5.34/1.15 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 5.34/1.15 inference(cnf_transformation,[status(thm)],[f2])).
% 5.34/1.15 fof(f34,plain,(
% 5.34/1.15 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 5.34/1.15 inference(cnf_transformation,[status(thm)],[f3])).
% 5.34/1.15 fof(f48,plain,(
% 5.34/1.15 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 5.34/1.15 inference(cnf_transformation,[status(thm)],[f12])).
% 5.34/1.15 fof(f64,plain,(
% 5.34/1.15 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 5.34/1.15 inference(miniscoping,[status(thm)],[f23])).
% 5.34/1.15 fof(f65,plain,(
% 5.34/1.15 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 5.34/1.15 inference(cnf_transformation,[status(thm)],[f64])).
% 5.34/1.15 fof(f66,plain,(
% 5.34/1.15 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 5.34/1.15 inference(miniscoping,[status(thm)],[f24])).
% 5.34/1.15 fof(f67,plain,(
% 5.34/1.15 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 5.34/1.15 inference(cnf_transformation,[status(thm)],[f66])).
% 5.34/1.15 fof(f73,plain,(
% 5.34/1.15 defined(a)),
% 5.34/1.15 inference(cnf_transformation,[status(thm)],[f28])).
% 5.34/1.15 fof(f74,plain,(
% 5.34/1.15 defined(b)),
% 5.34/1.15 inference(cnf_transformation,[status(thm)],[f29])).
% 5.34/1.15 fof(f75,plain,(
% 5.34/1.15 ![X0]: (~equalish(add(a,X0),b))),
% 5.34/1.15 inference(cnf_transformation,[status(thm)],[f30])).
% 5.34/1.15 fof(f79,plain,(
% 5.34/1.15 ![X0,X1]: (~equalish(add(a,X0),X1)|~equalish(X1,b))),
% 5.34/1.15 inference(resolution,[status(thm)],[f65,f75])).
% 5.34/1.15 fof(f83,plain,(
% 5.34/1.15 ![X0,X1,X2]: (~equalish(add(a,X0),X1)|~equalish(X1,X2)|~equalish(X2,b))),
% 5.34/1.15 inference(resolution,[status(thm)],[f79,f65])).
% 5.34/1.15 fof(f133,plain,(
% 5.34/1.15 ![X0,X1]: (~equalish(add(a,X0),X1)|~equalish(X1,add(additive_identity,b))|~defined(b))),
% 5.34/1.15 inference(resolution,[status(thm)],[f83,f33])).
% 5.34/1.15 fof(f138,plain,(
% 5.34/1.15 ![X0,X1]: (~equalish(add(a,X0),X1)|~equalish(X1,add(additive_identity,b)))),
% 5.34/1.15 inference(forward_subsumption_resolution,[status(thm)],[f133,f74])).
% 5.34/1.15 fof(f1467,plain,(
% 5.34/1.15 ![X0,X1]: (~equalish(add(a,X0),add(X1,b))|~defined(b)|~equalish(X1,additive_identity))),
% 5.34/1.15 inference(resolution,[status(thm)],[f138,f67])).
% 5.34/1.15 fof(f1472,plain,(
% 5.34/1.15 ![X0,X1]: (~equalish(add(a,X0),add(X1,b))|~equalish(X1,additive_identity))),
% 5.34/1.15 inference(forward_subsumption_resolution,[status(thm)],[f1467,f74])).
% 5.34/1.15 fof(f2598,plain,(
% 5.34/1.15 ![X0]: (~equalish(add(a,X0),additive_identity)|~defined(a)|~defined(X0)|~defined(b))),
% 5.34/1.15 inference(resolution,[status(thm)],[f1472,f32])).
% 5.34/1.15 fof(f2603,plain,(
% 4.64/1.17 ![X0]: (~equalish(add(a,X0),additive_identity)|~defined(X0)|~defined(b))),
% 4.64/1.17 inference(forward_subsumption_resolution,[status(thm)],[f2598,f73])).
% 4.64/1.17 fof(f2604,plain,(
% 4.64/1.17 ![X0]: (~equalish(add(a,X0),additive_identity)|~defined(X0))),
% 4.64/1.17 inference(forward_subsumption_resolution,[status(thm)],[f2603,f74])).
% 4.64/1.17 fof(f2605,plain,(
% 4.64/1.17 ~defined(additive_inverse(a))|~defined(a)),
% 4.64/1.17 inference(resolution,[status(thm)],[f2604,f34])).
% 4.64/1.17 fof(f2609,plain,(
% 4.64/1.17 ~defined(a)),
% 4.64/1.17 inference(forward_subsumption_resolution,[status(thm)],[f2605,f48])).
% 4.64/1.17 fof(f2612,plain,(
% 4.64/1.17 $false),
% 4.64/1.17 inference(forward_subsumption_resolution,[status(thm)],[f2609,f73])).
% 4.64/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 4.64/1.18 % Elapsed time: 0.818063 seconds
% 4.64/1.18 % CPU time: 6.181079 seconds
% 4.64/1.18 % Total memory used: 94.177 MB
% 4.64/1.18 % Net memory used: 88.524 MB
%------------------------------------------------------------------------------