%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG040-2 : 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 : n014.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 02:05:12 PM UTC 2026
% Result : Unsatisfiable 16.58s 7.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG040-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n014.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 04:14:41 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 16.58/7.54 % Refutation found
% 16.58/7.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.58/7.54 % SZS output start CNFRefutation for theBenchmark
% 16.58/7.54 fof(f12,axiom,(
% 16.58/7.54 (![X,Y,V1,Z,V2,V3,V4]: (( ~ product(X,Y,V1)| ~ product(X,Z,V2)| ~ sum(Y,Z,V3)| ~ product(X,V3,V4)| sum(V1,V2,V4) ) ))),
% 16.58/7.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.58/7.54 fof(f20,hypothesis,(
% 16.58/7.54 (![A,B,C]: (( ~ product(A,B,C)| product(B,A,C) ) ))),
% 16.58/7.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.58/7.54 fof(f21,negated_conjecture,(
% 16.58/7.54 sum(b,c,d) ),
% 16.58/7.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.58/7.54 fof(f22,negated_conjecture,(
% 16.58/7.54 product(d,a,additive_identity) ),
% 16.58/7.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.58/7.54 fof(f23,negated_conjecture,(
% 16.58/7.54 product(b,a,l) ),
% 16.58/7.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.58/7.54 fof(f24,negated_conjecture,(
% 16.58/7.54 product(c,a,n) ),
% 16.58/7.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.58/7.54 fof(f25,negated_conjecture,(
% 16.58/7.54 ~ sum(l,n,additive_identity) ),
% 16.58/7.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.58/7.54 fof(f41,plain,(
% 16.58/7.54 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~product(X,Y,V1)|~product(X,Z,V2))|~sum(Y,Z,V3)))|~product(X,V3,V4)))|sum(V1,V2,V4))),
% 16.58/7.54 inference(miniscoping,[status(thm)],[f12])).
% 16.58/7.54 fof(f42,plain,(
% 16.58/7.54 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X0,X3,X4)|~sum(X1,X3,X5)|~product(X0,X5,X6)|sum(X2,X4,X6))),
% 16.58/7.54 inference(cnf_transformation,[status(thm)],[f41])).
% 16.58/7.54 fof(f53,plain,(
% 16.58/7.54 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X1,X0,X2))),
% 16.58/7.54 inference(cnf_transformation,[status(thm)],[f20])).
% 16.58/7.54 fof(f54,plain,(
% 16.58/7.54 sum(b,c,d)),
% 16.58/7.54 inference(cnf_transformation,[status(thm)],[f21])).
% 16.58/7.54 fof(f55,plain,(
% 16.58/7.54 product(d,a,additive_identity)),
% 16.58/7.54 inference(cnf_transformation,[status(thm)],[f22])).
% 16.58/7.54 fof(f56,plain,(
% 16.58/7.54 product(b,a,l)),
% 16.58/7.54 inference(cnf_transformation,[status(thm)],[f23])).
% 16.58/7.54 fof(f57,plain,(
% 16.58/7.54 product(c,a,n)),
% 16.58/7.54 inference(cnf_transformation,[status(thm)],[f24])).
% 16.58/7.54 fof(f58,plain,(
% 16.58/7.54 ~sum(l,n,additive_identity)),
% 16.58/7.54 inference(cnf_transformation,[status(thm)],[f25])).
% 16.58/7.54 fof(f63,plain,(
% 16.58/7.54 product(a,c,n)),
% 16.58/7.54 inference(resolution,[status(thm)],[f53,f57])).
% 16.58/7.54 fof(f64,plain,(
% 16.58/7.54 product(a,b,l)),
% 16.58/7.54 inference(resolution,[status(thm)],[f53,f56])).
% 16.58/7.54 fof(f65,plain,(
% 16.58/7.54 product(a,d,additive_identity)),
% 16.58/7.54 inference(resolution,[status(thm)],[f53,f55])).
% 16.58/7.54 fof(f225,plain,(
% 16.58/7.54 ![X0,X1,X2,X3]: (~product(X0,b,X1)|~product(X0,c,X2)|~product(X0,d,X3)|sum(X1,X2,X3))),
% 16.58/7.54 inference(resolution,[status(thm)],[f42,f54])).
% 16.58/7.54 fof(f2638,plain,(
% 16.58/7.54 ![X0,X1]: (~product(a,b,X0)|~product(a,d,X1)|sum(X0,n,X1))),
% 16.58/7.54 inference(resolution,[status(thm)],[f225,f63])).
% 16.58/7.54 fof(f3755,plain,(
% 16.58/7.54 ![X0]: (~product(a,b,X0)|sum(X0,n,additive_identity))),
% 16.58/7.54 inference(resolution,[status(thm)],[f2638,f65])).
% 16.58/7.54 fof(f3761,plain,(
% 16.58/7.54 sum(l,n,additive_identity)),
% 16.58/7.54 inference(resolution,[status(thm)],[f3755,f64])).
% 16.58/7.54 fof(f3764,plain,(
% 16.58/7.54 $false),
% 16.58/7.54 inference(forward_subsumption_resolution,[status(thm)],[f3761,f58])).
% 16.58/7.54 % SZS output end CNFRefutation for theBenchmark.p
% 16.58/7.55 % Elapsed time: 2.159232 seconds
% 16.58/7.55 % CPU time: 16.937506 seconds
% 16.58/7.55 % Total memory used: 143.481 MB
% 16.58/7.55 % Net memory used: 127.738 MB
%------------------------------------------------------------------------------