%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 01:42:07 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.29 % CPULimit : 300
% 0.04/0.29 % WCLimit : 300
% 0.04/0.29 % DateTime : Mon Sep 21 01:57:22 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Drodi V4.1.1
% 0.04/0.32 % Refutation found
% 0.04/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.32 fof(f2,axiom,(
% 0.04/0.32 (![A,B,C]: (( ~ equalish(A,B)| ~ equalish(B,C)| equalish(A,C) ) ))),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f3,axiom,(
% 0.04/0.32 (![A,B]: (equalish(add(A,B),add(B,A)) ))),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f4,axiom,(
% 0.04/0.32 (![A,B,C]: (equalish(add(A,add(B,C)),add(add(A,B),C)) ))),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f13,negated_conjecture,(
% 0.04/0.32 ~ equalish(add(add(a,b),c),add(a,add(b,c))) ),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f15,plain,(
% 0.04/0.32 ![A,C]: ((![B]: (~equalish(A,B)|~equalish(B,C)))|equalish(A,C))),
% 0.04/0.32 inference(miniscoping,[status(thm)],[f2])).
% 0.04/0.32 fof(f16,plain,(
% 0.04/0.32 ![X0,X1,X2]: (~equalish(X0,X1)|~equalish(X1,X2)|equalish(X0,X2))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f15])).
% 0.04/0.32 fof(f17,plain,(
% 0.04/0.32 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0)))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f3])).
% 0.04/0.32 fof(f18,plain,(
% 0.04/0.32 ![X0,X1,X2]: (equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f4])).
% 0.04/0.32 fof(f31,plain,(
% 0.04/0.32 ~equalish(add(add(a,b),c),add(a,add(b,c)))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f13])).
% 0.04/0.32 fof(f32,plain,(
% 0.04/0.32 ![X0]: (~equalish(add(add(a,b),c),X0)|~equalish(X0,add(a,add(b,c))))),
% 0.04/0.32 inference(resolution,[status(thm)],[f16,f31])).
% 0.04/0.32 fof(f33,plain,(
% 0.04/0.32 ~equalish(add(c,add(a,b)),add(a,add(b,c)))),
% 0.04/0.32 inference(resolution,[status(thm)],[f32,f17])).
% 0.04/0.32 fof(f42,plain,(
% 0.04/0.32 ![X0]: (~equalish(add(c,add(a,b)),X0)|~equalish(X0,add(a,add(b,c))))),
% 0.04/0.32 inference(resolution,[status(thm)],[f33,f16])).
% 0.04/0.32 fof(f72,plain,(
% 0.04/0.32 ~equalish(add(c,add(a,b)),add(add(b,c),a))),
% 0.04/0.32 inference(resolution,[status(thm)],[f42,f17])).
% 0.04/0.32 fof(f79,plain,(
% 0.04/0.32 ![X0]: (~equalish(add(c,add(a,b)),X0)|~equalish(X0,add(add(b,c),a)))),
% 0.04/0.32 inference(resolution,[status(thm)],[f72,f16])).
% 0.04/0.32 fof(f104,plain,(
% 0.04/0.32 ~equalish(add(c,add(a,b)),add(b,add(c,a)))),
% 0.04/0.32 inference(resolution,[status(thm)],[f79,f18])).
% 0.04/0.32 fof(f112,plain,(
% 0.04/0.32 ![X0]: (~equalish(add(c,add(a,b)),X0)|~equalish(X0,add(b,add(c,a))))),
% 0.04/0.32 inference(resolution,[status(thm)],[f104,f16])).
% 0.04/0.32 fof(f129,plain,(
% 0.04/0.32 ~equalish(add(c,add(a,b)),add(add(c,a),b))),
% 0.04/0.32 inference(resolution,[status(thm)],[f112,f17])).
% 0.04/0.32 fof(f134,plain,(
% 0.04/0.32 $false),
% 0.04/0.32 inference(forward_subsumption_resolution,[status(thm)],[f129,f18])).
% 0.04/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.04/0.33 % Elapsed time: 0.032140 seconds
% 0.04/0.33 % CPU time: 0.100996 seconds
% 0.04/0.33 % Total memory used: 50.377 MB
% 0.04/0.33 % Net memory used: 49.611 MB
%------------------------------------------------------------------------------