%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:42:08 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:55:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f2,axiom,(
% 0.08/0.39 (![A,B,C]: (( ~ equalish(A,B)| ~ equalish(B,C)| equalish(A,C) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f3,axiom,(
% 0.08/0.39 (![A,B]: (equalish(add(A,B),add(B,A)) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f7,axiom,(
% 0.08/0.39 (![A,B,C]: (equalish(add(subtract(A,B),C),subtract(add(A,C),B)) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f8,axiom,(
% 0.08/0.39 (![A,B,C]: (equalish(subtract(add(A,B),C),add(subtract(A,C),B)) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f11,axiom,(
% 0.08/0.39 (![A,B,C,D]: (( ~ equalish(A,B)| ~ equalish(C,subtract(A,D))| equalish(C,subtract(B,D)) ) ))),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f13,negated_conjecture,(
% 0.08/0.39 ~ equalish(add(subtract(a,b),c),add(a,subtract(c,b))) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f15,plain,(
% 0.08/0.39 ![A,C]: ((![B]: (~equalish(A,B)|~equalish(B,C)))|equalish(A,C))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f2])).
% 0.08/0.39 fof(f16,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~equalish(X0,X1)|~equalish(X1,X2)|equalish(X0,X2))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.39 fof(f17,plain,(
% 0.08/0.39 ![X0,X1]: (equalish(add(X0,X1),add(X1,X0)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.39 fof(f21,plain,(
% 0.08/0.39 ![X0,X1,X2]: (equalish(add(subtract(X0,X1),X2),subtract(add(X0,X2),X1)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/0.39 fof(f22,plain,(
% 0.08/0.39 ![X0,X1,X2]: (equalish(subtract(add(X0,X1),X2),add(subtract(X0,X2),X1)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.08/0.39 fof(f27,plain,(
% 0.08/0.39 ![B,C,D]: ((![A]: (~equalish(A,B)|~equalish(C,subtract(A,D))))|equalish(C,subtract(B,D)))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f11])).
% 0.08/0.39 fof(f28,plain,(
% 0.08/0.39 ![X0,X1,X2,X3]: (~equalish(X0,X1)|~equalish(X2,subtract(X0,X3))|equalish(X2,subtract(X1,X3)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.08/0.39 fof(f31,plain,(
% 0.08/0.39 ~equalish(add(subtract(a,b),c),add(a,subtract(c,b)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.39 fof(f32,plain,(
% 0.08/0.39 ![X0]: (~equalish(add(subtract(a,b),c),X0)|~equalish(X0,add(a,subtract(c,b))))),
% 0.08/0.39 inference(resolution,[status(thm)],[f16,f31])).
% 0.08/0.39 fof(f36,plain,(
% 0.08/0.39 ~equalish(add(subtract(a,b),c),add(subtract(c,b),a))),
% 0.08/0.39 inference(resolution,[status(thm)],[f32,f17])).
% 0.08/0.39 fof(f46,plain,(
% 0.08/0.39 ![X0]: (~equalish(add(subtract(a,b),c),X0)|~equalish(X0,add(subtract(c,b),a)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f36,f16])).
% 0.08/0.39 fof(f56,plain,(
% 0.08/0.39 ~equalish(add(subtract(a,b),c),subtract(add(c,a),b))),
% 0.08/0.39 inference(resolution,[status(thm)],[f46,f22])).
% 0.08/0.39 fof(f64,plain,(
% 0.08/0.39 ![X0]: (~equalish(X0,add(c,a))|~equalish(add(subtract(a,b),c),subtract(X0,b)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f56,f28])).
% 0.08/0.39 fof(f69,plain,(
% 0.08/0.39 ~equalish(add(a,c),add(c,a))),
% 0.08/0.39 inference(resolution,[status(thm)],[f64,f21])).
% 0.08/0.39 fof(f74,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f69,f17])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.052462 seconds
% 0.13/0.41 % CPU time: 0.139803 seconds
% 0.13/0.41 % Total memory used: 56.007 MB
% 0.13/0.41 % Net memory used: 55.487 MB
%------------------------------------------------------------------------------