%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SEV668+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Tue May 5 06:53:10 PM UTC 2026 % Result : Theorem 8.56s 1.92s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.14 % Problem : SEV668+1 : TPTP v9.3.0. Released v9.3.0. % 0.11/0.15 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.15/0.36 % Computer : n021.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Tue May 5 08:03:55 EDT 2026 % 0.15/0.37 % CPUTime : % 8.56/1.92 % SZS status Theorem % 8.56/1.92 % SZS output begin IncompleteProof % 8.56/1.92 cnf(c0, axiom, % 8.56/1.92 cRedblack_2eTREES_2eempty__tree = happ(happ(happ(happ(happ(cRedblack_2eTREES_2eT,sK2875),sK2876),sK2877),sK2878),sK2879)). % 8.56/1.92 cnf(c1, plain, % 8.56/1.92 cRedblack_2eTREES_2eempty__tree = happ(happ(happ(happ(happ(cRedblack_2eTREES_2eT,sK2875),sK2876),sK2877),sK2878),sK2879), % 8.56/1.92 inference(start, [], [c0])). % 8.56/1.92 % 8.56/1.92 cnf(c2, axiom, % 8.56/1.92 cRedblack_2eTREES_2eempty__tree != happ(happ(happ(happ(happ(cRedblack_2eTREES_2eT,X0),X1),X2),X3),X4)). % 8.56/1.92 cnf(a0, assumption, % 8.56/1.92 happ(happ(happ(happ(happ(cRedblack_2eTREES_2eT,X0),X1),X2),X3),X4) = happ(happ(happ(happ(happ(cRedblack_2eTREES_2eT,sK2875),sK2876),sK2877),sK2878),sK2879)). % 8.56/1.92 cnf(a1, assumption, % 8.56/1.92 cRedblack_2eTREES_2eempty__tree = X5). % 8.56/1.92 cnf(c3, plain, % 8.56/1.92 $false, % 8.56/1.92 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 8.56/1.92 cnf(c4, plain, % 8.56/1.92 $false, % 8.56/1.92 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 8.56/1.92 cnf(c5, plain, % 8.56/1.92 cRedblack_2eTREES_2eempty__tree != X5, % 8.56/1.92 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 8.56/1.92 % 8.56/1.92 cnf(a2, assumption, % 8.56/1.92 cRedblack_2eTREES_2eempty__tree = X5). % 8.56/1.92 cnf(c6, plain, % 8.56/1.92 $false, % 8.56/1.92 inference(reflexivity, [assumptions([a2])], [c5])). % 8.56/1.92 % 8.56/1.92 cnf(c7, plain, % 8.56/1.92 $false, % 8.56/1.92 inference(constraint_solving, [ % 8.56/1.92 bind(X0, sK2875), % 8.56/1.92 bind(X1, sK2876), % 8.56/1.92 bind(X2, sK2877), % 8.56/1.92 bind(X3, sK2878), % 8.56/1.92 bind(X4, sK2879), % 8.56/1.92 bind(X5, cRedblack_2eTREES_2eempty__tree) % 8.56/1.92 ], % 8.56/1.92 [a0, a1, a2])). % 8.56/1.92 % 8.56/1.92 % SZS output end IncompleteProof %------------------------------------------------------------------------------