%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n008.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 : 600s % DateTime : Tue Jul 19 14:48:04 EDT 2022 % Result : Theorem 2.65s 2.86s % Output : Proof 2.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n008.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jun 18 22:02:22 EDT 2022 % 0.12/0.33 % CPUTime : % 2.65/2.86 % SZS status Theorem % 2.65/2.86 (* PROOF-FOUND *) % 2.65/2.86 (* BEGIN-PROOF *) % 2.65/2.86 % SZS output start Proof % 2.65/2.86 1. (relation T_0) (-. (relation T_0)) ### Axiom % 2.65/2.86 2. (-. (subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom T_0))) (subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom T_0)) ### Axiom % 2.65/2.86 3. ((relation T_0) => (subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom T_0))) (-. (subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom T_0))) (relation T_0) ### Imply 1 2 % 2.65/2.86 4. (All B, ((relation B) => (subset (relation_dom (relation_dom_restriction B T_1)) (relation_dom B)))) (relation T_0) (-. (subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom T_0))) ### All 3 % 2.65/2.86 5. (All A, (All B, ((relation B) => (subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))))) (-. (subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom T_0))) (relation T_0) ### All 4 % 2.65/2.86 6. (relation T_0) (-. (relation T_0)) ### Axiom % 2.65/2.86 7. (-. (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0)) ### Axiom % 2.65/2.86 8. ((relation T_0) => (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) (-. (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) (relation T_0) ### Imply 6 7 % 2.65/2.86 9. (All B, ((relation B) => (subset (relation_rng (relation_dom_restriction B T_1)) (relation_rng B)))) (relation T_0) (-. (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) ### All 8 % 2.65/2.86 10. (All A, (All B, ((relation B) => (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B))))) (-. (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))) (relation T_0) ### All 9 % 2.65/2.86 11. (-. ((subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom T_0)) /\ (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0)))) (All A, (All B, ((relation B) => (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B))))) (relation T_0) (All A, (All B, ((relation B) => (subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))))) ### NotAnd 5 10 % 2.65/2.86 12. (-. (((relation T_0) /\ (function T_0)) => ((subset (relation_dom (relation_dom_restriction T_0 T_1)) (relation_dom T_0)) /\ (subset (relation_rng (relation_dom_restriction T_0 T_1)) (relation_rng T_0))))) (All A, (All B, ((relation B) => (subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))))) (All A, (All B, ((relation B) => (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B))))) ### ConjTree 11 % 2.65/2.86 13. (-. (All B, (((relation B) /\ (function B)) => ((subset (relation_dom (relation_dom_restriction B T_1)) (relation_dom B)) /\ (subset (relation_rng (relation_dom_restriction B T_1)) (relation_rng B)))))) (All A, (All B, ((relation B) => (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B))))) (All A, (All B, ((relation B) => (subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))))) ### NotAllEx 12 % 2.65/2.86 14. (-. (All A, (All B, (((relation B) /\ (function B)) => ((subset (relation_dom (relation_dom_restriction B A)) (relation_dom B)) /\ (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B))))))) (All A, (All B, ((relation B) => (subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))))) (All A, (All B, ((relation B) => (subset (relation_rng (relation_dom_restriction B A)) (relation_rng B))))) ### NotAllEx 13 % 2.65/2.86 % SZS output end Proof % 2.65/2.86 (* END-PROOF *) %------------------------------------------------------------------------------