%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ROB004-1 : 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 : n003.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 02:06:35 PM UTC 2026
% Result : Unsatisfiable 3.30s 1.02s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB004-1 : 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 : n003.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
% 0.08/0.36 % DateTime : Mon Sep 21 04:23:45 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 3.30/1.02 % Refutation found
% 3.30/1.02 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.30/1.02 % SZS output start CNFRefutation for theBenchmark
% 3.30/1.02 fof(f1,axiom,(
% 3.30/1.02 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 3.30/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/1.02 fof(f2,axiom,(
% 3.30/1.02 (![X,Y,Z]: (add(add(X,Y),Z) = add(X,add(Y,Z)) ))),
% 3.30/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/1.02 fof(f3,axiom,(
% 3.30/1.02 (![X,Y]: (negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X ))),
% 3.30/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/1.02 fof(f4,hypothesis,(
% 3.30/1.02 negate(d) = c ),
% 3.30/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/1.02 fof(f5,hypothesis,(
% 3.30/1.02 add(c,d) = d ),
% 3.30/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/1.02 fof(f6,hypothesis,(
% 3.30/1.02 add(c,c) = c ),
% 3.30/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/1.02 fof(f7,negated_conjecture,(
% 3.30/1.02 add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b ),
% 3.30/1.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.30/1.02 fof(f8,plain,(
% 3.30/1.02 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 3.30/1.02 inference(cnf_transformation,[status(thm)],[f1])).
% 3.30/1.02 fof(f9,plain,(
% 3.30/1.02 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X0,add(X1,X2)))),
% 3.30/1.02 inference(cnf_transformation,[status(thm)],[f2])).
% 3.30/1.02 fof(f10,plain,(
% 3.30/1.02 ![X0,X1]: (negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1)))))=X0)),
% 3.30/1.02 inference(cnf_transformation,[status(thm)],[f3])).
% 3.30/1.02 fof(f11,plain,(
% 3.30/1.02 negate(d)=c),
% 3.30/1.02 inference(cnf_transformation,[status(thm)],[f4])).
% 3.30/1.02 fof(f12,plain,(
% 3.30/1.02 add(c,d)=d),
% 3.30/1.02 inference(cnf_transformation,[status(thm)],[f5])).
% 3.30/1.02 fof(f13,plain,(
% 3.30/1.02 add(c,c)=c),
% 3.30/1.02 inference(cnf_transformation,[status(thm)],[f6])).
% 3.30/1.02 fof(f14,plain,(
% 3.30/1.02 ~add(negate(add(a,negate(b))),negate(add(negate(a),negate(b))))=b),
% 3.30/1.02 inference(cnf_transformation,[status(thm)],[f7])).
% 3.30/1.02 fof(f27,plain,(
% 3.30/1.02 ~add(negate(add(a,negate(b))),negate(add(negate(b),negate(a))))=b),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f8,f14])).
% 3.30/1.02 fof(f29,plain,(
% 3.30/1.02 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(X1,add(X2,X0)))),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f8,f9])).
% 3.30/1.02 fof(f39,plain,(
% 3.30/1.02 ![X0,X1,X2]: (negate(add(negate(add(X0,add(X1,X2))),negate(add(add(X0,X1),negate(X2)))))=add(X0,X1))),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f9,f10])).
% 3.30/1.02 fof(f40,plain,(
% 3.30/1.02 ![X0,X1]: (negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0)))))=X1)),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f8,f10])).
% 3.30/1.02 fof(f47,plain,(
% 3.30/1.02 ![X0,X1,X2]: (negate(add(negate(add(X0,add(X1,X2))),negate(add(X0,add(X1,negate(X2))))))=add(X0,X1))),
% 3.30/1.02 inference(forward_demodulation,[status(thm)],[f9,f39])).
% 3.30/1.02 fof(f62,plain,(
% 3.30/1.02 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X2,X0),X1))),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f8,f29])).
% 3.30/1.02 fof(f229,plain,(
% 3.30/1.02 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X2),X1))),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f8,f62])).
% 3.30/1.02 fof(f1259,plain,(
% 3.30/1.02 ![X0]: (negate(add(negate(add(X0,d)),negate(add(X0,c))))=X0)),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f11,f10])).
% 3.30/1.02 fof(f1260,plain,(
% 3.30/1.02 ![X0]: (negate(add(negate(add(X0,d)),negate(add(X0,add(c,negate(d))))))=add(X0,c))),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f12,f47])).
% 3.30/1.02 fof(f1275,plain,(
% 3.30/1.02 ![X0]: (negate(add(negate(add(X0,d)),negate(add(X0,add(c,c)))))=add(X0,c))),
% 3.30/1.02 inference(forward_demodulation,[status(thm)],[f11,f1260])).
% 3.30/1.02 fof(f1276,plain,(
% 3.30/1.02 ![X0]: (negate(add(negate(add(X0,d)),negate(add(X0,c))))=add(X0,c))),
% 3.30/1.02 inference(forward_demodulation,[status(thm)],[f13,f1275])).
% 3.30/1.02 fof(f1281,plain,(
% 3.30/1.02 ![X0]: (X0=add(X0,c))),
% 3.30/1.02 inference(forward_demodulation,[status(thm)],[f1259,f1276])).
% 3.30/1.02 fof(f1299,plain,(
% 3.30/1.02 ![X0]: (X0=add(c,X0))),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f8,f1281])).
% 3.30/1.02 fof(f1377,plain,(
% 3.30/1.02 ![X0]: (negate(add(negate(add(c,X0)),negate(negate(X0))))=c)),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f1299,f10])).
% 3.30/1.02 fof(f1419,plain,(
% 3.30/1.02 ![X0]: (negate(add(negate(X0),negate(negate(X0))))=c)),
% 3.30/1.02 inference(forward_demodulation,[status(thm)],[f1299,f1377])).
% 3.30/1.02 fof(f1443,plain,(
% 3.30/1.02 ![X0,X1]: (negate(add(X0,negate(negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))))))=c)),
% 3.30/1.02 inference(paramodulation,[status(thm)],[f10,f1419])).
% 3.30/1.02 fof(f1467,plain,(
% 3.30/1.02 ![X0]: (negate(add(X0,negate(X0)))=c)),
% 3.30/1.04 inference(forward_demodulation,[status(thm)],[f10,f1443])).
% 3.30/1.04 fof(f1496,plain,(
% 3.30/1.04 ![X0]: (negate(add(negate(add(X0,X0)),c))=X0)),
% 3.30/1.04 inference(paramodulation,[status(thm)],[f1467,f10])).
% 3.30/1.04 fof(f1498,plain,(
% 3.30/1.04 ![X0]: (negate(add(c,negate(add(X0,negate(negate(X0))))))=X0)),
% 3.30/1.04 inference(paramodulation,[status(thm)],[f1467,f10])).
% 3.30/1.04 fof(f1512,plain,(
% 3.30/1.04 ![X0]: (negate(negate(add(X0,X0)))=X0)),
% 3.30/1.04 inference(forward_demodulation,[status(thm)],[f1281,f1496])).
% 3.30/1.04 fof(f1517,plain,(
% 3.30/1.04 ![X0]: (negate(negate(add(X0,negate(negate(X0)))))=X0)),
% 3.30/1.04 inference(forward_demodulation,[status(thm)],[f1299,f1498])).
% 3.30/1.04 fof(f1541,plain,(
% 3.30/1.04 ![X0]: (negate(add(negate(add(X0,X0)),X0))=c)),
% 3.30/1.04 inference(paramodulation,[status(thm)],[f1512,f1467])).
% 3.30/1.04 fof(f1564,plain,(
% 3.30/1.04 ![X0]: (negate(negate(add(add(X0,X0),X0)))=add(X0,X0))),
% 3.30/1.04 inference(paramodulation,[status(thm)],[f1512,f1517])).
% 3.30/1.04 fof(f1581,plain,(
% 3.30/1.04 ![X0]: (negate(negate(add(X0,add(X0,X0))))=add(X0,X0))),
% 3.30/1.04 inference(forward_demodulation,[status(thm)],[f229,f1564])).
% 3.30/1.04 fof(f1597,plain,(
% 3.30/1.04 ![X0]: (negate(add(X0,negate(add(X0,X0))))=c)),
% 3.30/1.04 inference(paramodulation,[status(thm)],[f8,f1541])).
% 3.30/1.04 fof(f1703,plain,(
% 3.30/1.04 ![X0]: (negate(add(negate(add(X0,add(X0,X0))),c))=X0)),
% 3.30/1.04 inference(paramodulation,[status(thm)],[f1597,f10])).
% 3.30/1.04 fof(f1746,plain,(
% 3.30/1.04 ![X0]: (X0=add(X0,X0))),
% 3.30/1.04 inference(backward_demodulation,[status(thm)],[f1747,f1581])).
% 3.30/1.04 fof(f1747,plain,(
% 3.30/1.04 ![X0]: (negate(negate(add(X0,add(X0,X0))))=X0)),
% 3.30/1.04 inference(forward_demodulation,[status(thm)],[f1281,f1703])).
% 3.30/1.04 fof(f1762,plain,(
% 3.30/1.04 ![X0]: (negate(negate(X0))=X0)),
% 3.30/1.04 inference(backward_demodulation,[status(thm)],[f1746,f1512])).
% 3.30/1.04 fof(f2526,plain,(
% 3.30/1.04 ![X0,X1]: (negate(X0)=add(negate(add(X1,X0)),negate(add(X0,negate(X1)))))),
% 3.30/1.04 inference(paramodulation,[status(thm)],[f40,f1762])).
% 3.30/1.04 fof(f2556,plain,(
% 3.30/1.04 ~negate(negate(b))=b),
% 3.30/1.04 inference(backward_demodulation,[status(thm)],[f2526,f27])).
% 3.30/1.04 fof(f2572,plain,(
% 3.30/1.04 ~b=b),
% 3.30/1.04 inference(forward_demodulation,[status(thm)],[f1762,f2556])).
% 3.30/1.04 fof(f2573,plain,(
% 3.30/1.04 $false),
% 3.30/1.04 inference(trivial_equality_resolution,[status(thm)],[f2572])).
% 3.30/1.04 % SZS output end CNFRefutation for theBenchmark.p
% 12.27/2.26 % Elapsed time: 1.683091 seconds
% 12.27/2.26 % CPU time: 2.149130 seconds
% 12.27/2.26 % Total memory used: 19.101 MB
% 12.27/2.26 % Net memory used: 18.257 MB
%------------------------------------------------------------------------------